Abstract

We propose a scheme to realize a quantum cloning machine in an ion-trap system. In the scheme, the optimal 12 symmetric universal quantum cloning and the optimal 12 phase-covariant quantum cloning can be realized. The required experimental techniques of the scheme are in the range of what can be obtained in the ion-trap setup. Therefore, the scheme can be realized with presently available ion-trap techniques.

© 2012 Optical Society of America

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  1. W. K. Wootters and W. H. Zurek, “A single quantum cannot be cloned,” Nature 299, 802–803 (1982).
    [CrossRef]
  2. A. K. Parti and S. L. Braunstein, “Quantum deleting and signaling,” Phys. Lett. A 315, 208–212 (2003).
    [CrossRef]
  3. D. Bruss, D. P. DiVincenzo, A. Ekert, C. A. Fuchs, C. Macchiavello, and J. A. Smolin, “Optimal universal and state-dependent quantum cloning,” Phys. Rev. A 57, 2368–2378 (1998).
    [CrossRef]
  4. D. Bruss, A. Ekert, and C. Macchiavello, “Optimal universal quantum cloning and state estimation,” Phys. Rev. Lett. 81, 2598–2601 (1998).
    [CrossRef]
  5. L. M. Duan and G. C. Guo, “Probabilistic cloning and identification of linearly independent quantum states,” Phys. Rev. Lett. 80, 4999–5002 (1998).
    [CrossRef]
  6. L. M. Duan and G. C. Guo, “A probabilistic cloning machine for replicating two non-orthogonal states,” Phys. Lett. A 243, 261–264 (1998).
    [CrossRef]
  7. V. Bužek and M. Hillery, “Quantum copying: beyond the nocloning theorem,” Phys. Rev. A 54, 1844–1852 (1996).
    [CrossRef]
  8. R. F. Werner, “Optimal cloning of pure states,” Phys. Rev. A 58, 1827–1832 (1998).
    [CrossRef]
  9. N. J. Cerf, “Pauli cloning of a quantum bit,” Phys. Rev. Lett. 84, 4497–4500 (2000).
    [CrossRef]
  10. H. Fan, H. Imai, K. Matsumoto, and X. B. Wang, “Phase-covariant quantum cloning of qudits,” Phys. Rev. A 67, 022317 (2003).
    [CrossRef]
  11. D. Bruss, M. Cinchetti, G. M. D’Ariano, and C. Macchiavello, “Phase-covariant quantum cloning,” Phys. Rev. A 62, 012302 (2000).
    [CrossRef]
  12. P. Navez and N. J. Cerf, “Cloning a real d-dimensional quantum state on the edge of the no-signaling condition,” Phys. Rev. A 68, 032313 (2003).
    [CrossRef]
  13. W. H. Zhang, L. B. Yu, and L. Ye, “Optimal asymmetric phase-covariant quantum cloning,” Phys. Lett. A 356, 195–198 (2006).
    [CrossRef]
  14. W. H. Zhang and L. Ye, “Optimal asymmetric phase-covariant and real state cloning in d dimensions,” New J. Phys. 9, 318 (2007).
    [CrossRef]
  15. W. H. Zhang, J. Wang, L. Ye, and J. L. Dai, “Suboptimal asymmetric economical phase-covariant quantum cloning and telecloning in d-dimension,” Phys. Lett. A 369, 112–119 (2007).
    [CrossRef]
  16. W. H. Zhang, L. B. Yu, L. Ye, and J. L. Dai, “Optimal symmetric economical phase-covariant quantum cloning,” Phys. Lett. A 360, 726–730 (2007).
    [CrossRef]
  17. F. Buscemi, G. M. D’Ariano, and C. Macchiavello, “Economical phase-covariant cloning of qudits,” Phys. Rev. A 71, 042327 (2005).
    [CrossRef]
  18. C. S. Niu, and R. B. Griffiths, “Two-qubit copying machine for economical quantum eavesdropping,” Phys. Rev. A 60, 2764 (1999).
    [CrossRef]
  19. J. Fiurášek, “Optical implementations of the optimal phase-covariant quantum cloning machine,” Phys. Rev. A 67, 052314 (2003).
    [CrossRef]
  20. T. Durt, J. Fiurasek, and N. J. Cerf, “Economical quantum cloning in any dimension,” Phys. Rev. A 72, 052322 (2005).
    [CrossRef]
  21. T. Durt, and J. Du, “Characterization of low-cost one-to-two qubit cloning,” Phys. Rev. A 69, 062316 (2004).
    [CrossRef]
  22. W. H. Zhang, T. Wu, L. Ye, and J. L. Dai, “Optimal real state cloning in d dimensions,” Phys. Rev. A 75, 044303 (2007).
    [CrossRef]
  23. B. L. Fang and L. Ye, “Realization of a phase-covariant and real state qubit quantum cloning machine,” Phys. Lett. A 374, 1966 (2010).
    [CrossRef]
  24. W. Xiong, and L. Ye, “Optimal real state quantum cloning machine in cavity quantum electrodynamics,” J. Opt. Soc. Am. B 28, 2260–2264 (2011).
    [CrossRef]
  25. N. Gisin, G. Ribordy, W. Tittel, and H. Zbinden, “Quantum cryptography,” Rev. Mod. Phys. 74, 145–195 (2002).
    [CrossRef]
  26. V. Scarani, S. Iblisdir, and N. Gisin, “Quantum cloning,” Rev. Mod. Phys. 77, 1225–1256 (2005).
    [CrossRef]
  27. C. Simon, G. Weihs, and A. Zeilinger, “Optimal quantum cloning via stimulated emission,” Phys. Rev. Lett. 84, 2993–2996 (2000).
    [CrossRef]
  28. L. B. Yu, W. H. Zhang, and L. Ye, “Implementing an ancilla-free 1→M economical phase-covariant quantum cloning machine with superconducting quantum-interference devices in cavity QED,” Phys. Rev. A 76, 034303 (2007).
    [CrossRef]
  29. B. L. Fang, Z. Yang, and L. Ye, “Realizing a partial general quantum cloning machine with superconducting quantum-interference devices in a cavity QED,” Phys. Rev. A 79, 054308 (2009).
    [CrossRef]
  30. P. Milman, H. Ollivier, and J. M. Raimond, “Universal quantum cloning in cavity QED,” Phys. Rev. A 67, 012314 (2003).
    [CrossRef]
  31. X. B. Zou, K. Pahlke, and W. Mathis, “Scheme for the implementation of a universal quantum cloning machine via cavity-assisted atomic collisions in cavity QED,” Phys. Rev. A 67, 024304 (2003).
    [CrossRef]
  32. W. Song, M. Yang, and Z. L. Cao, “Scheme for the implementation of optimal phase-covariant quantum cloning for equatorial qubits,” Phys. Lett. A 331, 34–38 (2004).
    [CrossRef]
  33. W. H. Zhang, and L. Ye, “Scheme to implement general economical phase-covariant telecloning,” Phys. Lett. A 353, 130–137 (2006).
    [CrossRef]
  34. W. H. Zhang, and L. Ye, “Cavity-QED scheme to implement the optimal symmetric approximate quantum telecloning,” Phys. Lett. A 354, 344–352 (2006).
    [CrossRef]
  35. B. L. Fang, T. Wu, and L Ye, “Realization of a general quantum cloning machine via cavity-assisted interaction,” Europhys. Lett. 97, 60002 (2012).
    [CrossRef]
  36. B. L. Fang, Q. M. Song, and L. Ye, “Realization of a universal and phase-covariant quantum cloning machine in separate cavities,” Phys. Rev. A 83, 042309 (2011).
    [CrossRef]
  37. B. L. Fang, T. Wu, and L Ye, “Realization of an economical phase-covariant telecloning in separate cavities,” Quantum Inf. Comput. 12, 0334–0345 (2012).
  38. A. Lamas-Linares, C. Simon, J. C. Howell, and D. Bouwmeester, “Experimental quantum cloning of single photons,” Science 296, 712–714 (2002).
    [CrossRef]
  39. A. Černoch, L. Bartůšková, J. Soubusta, M. Ježek, J. Fiurášek, and M. Dušek, “Experimental phase-covariant cloning of polarization states of single photons,” Phys. Rev. A 74, 042327 (2006).
    [CrossRef]
  40. J. F. Du, T. Durt, P. Zou, H. Li, L. C. Kwek, C. H. Lai, C. H. Oh, and A. Ekert, “Experimental quantum cloning with prior partial information,” Phys. Rev. Lett. 94, 040505 (2005).
    [CrossRef]
  41. H. K. Cummins, C. Jones, A. Furze, N. F. Soffe, M. Mosca, J. M. Peach, and J. A. Jones, “Approximate quantum cloning with nuclear magnetic resonance,” Phys. Rev. Lett. 88, 187901 (2002).
    [CrossRef]
  42. H. W. Chen, X. Y. Zhou, D. Suter, and J. F. Du, “Experimental realization of 1→2 asymmetric phase-covariant quantum cloning,” Phys. Rev. A 75, 012317 (2007).
    [CrossRef]
  43. D. L. Moehring, M. J. Madsen, B. B. Blinov, and C. Monroe, “Experimental Bell inequality violation with an atom and a photon,” Phys. Rev. Lett. 93, 090410 (2004).
    [CrossRef]
  44. R. Reichle, D. Leibfried, E. Knill, J. Britton, R. B. Blakestad, J. D. Jost, C. Langer, R. Ozeri, S. Seidelin, and D. J. Wineland, “Experimental purification of two-atom entanglement,” Nature 443, 838–841 (2006).
    [CrossRef]
  45. K. Mølmer and A. Sørensen, “Multiparticle entanglement of hot trapped ions,” Phys. Rev. Lett. 82, 1835–1838 (1999).
    [CrossRef]
  46. C. A. Sackett, D. Kielpinski, B. E. King, C. Langer, V. Meyer, C. J. Myatt, M. Rowe, Q. A. Turchette, W. M. Itano, D. J. Wineland, and C. Monroe, “Experimental entanglement of four particles,” Nature 404, 256–259 (2000).
    [CrossRef]
  47. F. Schmidt-Kaler, H. Häffner, M. Riebe, S. Gulde, G. P. T. Lancaster, T. Deuschle, C. Becher, C. F. Roos, J. Eschner, and R. Blatt, “Realization of the Cirac–Zoller controlled-NOT quantum gate,” Nature 422, 408–411 (2003).
    [CrossRef]
  48. J. Chiaverini, J. Britton, D. Leibfried, E. Knill, M. D. Barrett, R. B. Blakestad, W. M. Itano, J. D. Jost, C. Langer, R. Ozeri, T. Schaetz, and D. J. Wineland, “Implementation of the semiclassical quantum Fourier transform in a scalable system,” Science 308, 997–1000 (2005).
    [CrossRef]
  49. K. A. Brickman, P. C. Haljan, P. J. Lee, M. Acton, L. Deslauriers, C. Monroe, and , “Implementation of Grover’s quantum search algorithm in a scalable system,” Phys. Rev. A 72, 050306(R) (2005).
    [CrossRef]
  50. S. B. Zheng, “Splitting quantum information via W states,” Phys. Rev. A 74, 054303 (2006).
    [CrossRef]
  51. S. B. Zheng and G. C. Guo, “Efficient scheme for two-atom entanglement and quantum information processing in cavity QED,” Phys. Rev. Lett. 85, 2392–2395 (2000).
    [CrossRef]
  52. P. Agrawal and A. Pati, “Perfect teleportation and superdense coding with W states,” Phys. Rev. A 74, 062320 (2006).
    [CrossRef]
  53. W. Dür, G. Vidal, and J. I. Cirac, “Three qubits can be entangled in two inequivalent ways,” Phys. Rev. A 62, 062314 (2000).
    [CrossRef]
  54. H. Häffner, W. Hänsel, C. F. Roos, J. Benhelm, D. Chek-al-kar, M. Chwalla, T. Körber, U. D. Rapol, M. Riebe, P. O. Schmidt, C. Becher, O. Gühne, W. Dür, and R. Blatt, “Scalable multiparticle entanglement of trapped ions,” Nature 438, 643–646 (2005).
    [CrossRef]
  55. D. M. Meekhof, C. Monroe, B. E. King, W. M. Itano, and D. J. Wineland, “Generation of nonclassical motional states of a trapped atom,” Phys. Rev. Lett. 76, 1796–1799 (1996).
    [CrossRef]

2012 (2)

B. L. Fang, T. Wu, and L Ye, “Realization of a general quantum cloning machine via cavity-assisted interaction,” Europhys. Lett. 97, 60002 (2012).
[CrossRef]

B. L. Fang, T. Wu, and L Ye, “Realization of an economical phase-covariant telecloning in separate cavities,” Quantum Inf. Comput. 12, 0334–0345 (2012).

2011 (2)

B. L. Fang, Q. M. Song, and L. Ye, “Realization of a universal and phase-covariant quantum cloning machine in separate cavities,” Phys. Rev. A 83, 042309 (2011).
[CrossRef]

W. Xiong, and L. Ye, “Optimal real state quantum cloning machine in cavity quantum electrodynamics,” J. Opt. Soc. Am. B 28, 2260–2264 (2011).
[CrossRef]

2010 (1)

B. L. Fang and L. Ye, “Realization of a phase-covariant and real state qubit quantum cloning machine,” Phys. Lett. A 374, 1966 (2010).
[CrossRef]

2009 (1)

B. L. Fang, Z. Yang, and L. Ye, “Realizing a partial general quantum cloning machine with superconducting quantum-interference devices in a cavity QED,” Phys. Rev. A 79, 054308 (2009).
[CrossRef]

2007 (6)

W. H. Zhang, T. Wu, L. Ye, and J. L. Dai, “Optimal real state cloning in d dimensions,” Phys. Rev. A 75, 044303 (2007).
[CrossRef]

L. B. Yu, W. H. Zhang, and L. Ye, “Implementing an ancilla-free 1→M economical phase-covariant quantum cloning machine with superconducting quantum-interference devices in cavity QED,” Phys. Rev. A 76, 034303 (2007).
[CrossRef]

W. H. Zhang and L. Ye, “Optimal asymmetric phase-covariant and real state cloning in d dimensions,” New J. Phys. 9, 318 (2007).
[CrossRef]

W. H. Zhang, J. Wang, L. Ye, and J. L. Dai, “Suboptimal asymmetric economical phase-covariant quantum cloning and telecloning in d-dimension,” Phys. Lett. A 369, 112–119 (2007).
[CrossRef]

W. H. Zhang, L. B. Yu, L. Ye, and J. L. Dai, “Optimal symmetric economical phase-covariant quantum cloning,” Phys. Lett. A 360, 726–730 (2007).
[CrossRef]

H. W. Chen, X. Y. Zhou, D. Suter, and J. F. Du, “Experimental realization of 1→2 asymmetric phase-covariant quantum cloning,” Phys. Rev. A 75, 012317 (2007).
[CrossRef]

2006 (7)

A. Černoch, L. Bartůšková, J. Soubusta, M. Ježek, J. Fiurášek, and M. Dušek, “Experimental phase-covariant cloning of polarization states of single photons,” Phys. Rev. A 74, 042327 (2006).
[CrossRef]

R. Reichle, D. Leibfried, E. Knill, J. Britton, R. B. Blakestad, J. D. Jost, C. Langer, R. Ozeri, S. Seidelin, and D. J. Wineland, “Experimental purification of two-atom entanglement,” Nature 443, 838–841 (2006).
[CrossRef]

S. B. Zheng, “Splitting quantum information via W states,” Phys. Rev. A 74, 054303 (2006).
[CrossRef]

P. Agrawal and A. Pati, “Perfect teleportation and superdense coding with W states,” Phys. Rev. A 74, 062320 (2006).
[CrossRef]

W. H. Zhang, L. B. Yu, and L. Ye, “Optimal asymmetric phase-covariant quantum cloning,” Phys. Lett. A 356, 195–198 (2006).
[CrossRef]

W. H. Zhang, and L. Ye, “Scheme to implement general economical phase-covariant telecloning,” Phys. Lett. A 353, 130–137 (2006).
[CrossRef]

W. H. Zhang, and L. Ye, “Cavity-QED scheme to implement the optimal symmetric approximate quantum telecloning,” Phys. Lett. A 354, 344–352 (2006).
[CrossRef]

2005 (7)

V. Scarani, S. Iblisdir, and N. Gisin, “Quantum cloning,” Rev. Mod. Phys. 77, 1225–1256 (2005).
[CrossRef]

T. Durt, J. Fiurasek, and N. J. Cerf, “Economical quantum cloning in any dimension,” Phys. Rev. A 72, 052322 (2005).
[CrossRef]

F. Buscemi, G. M. D’Ariano, and C. Macchiavello, “Economical phase-covariant cloning of qudits,” Phys. Rev. A 71, 042327 (2005).
[CrossRef]

H. Häffner, W. Hänsel, C. F. Roos, J. Benhelm, D. Chek-al-kar, M. Chwalla, T. Körber, U. D. Rapol, M. Riebe, P. O. Schmidt, C. Becher, O. Gühne, W. Dür, and R. Blatt, “Scalable multiparticle entanglement of trapped ions,” Nature 438, 643–646 (2005).
[CrossRef]

J. Chiaverini, J. Britton, D. Leibfried, E. Knill, M. D. Barrett, R. B. Blakestad, W. M. Itano, J. D. Jost, C. Langer, R. Ozeri, T. Schaetz, and D. J. Wineland, “Implementation of the semiclassical quantum Fourier transform in a scalable system,” Science 308, 997–1000 (2005).
[CrossRef]

K. A. Brickman, P. C. Haljan, P. J. Lee, M. Acton, L. Deslauriers, C. Monroe, and , “Implementation of Grover’s quantum search algorithm in a scalable system,” Phys. Rev. A 72, 050306(R) (2005).
[CrossRef]

J. F. Du, T. Durt, P. Zou, H. Li, L. C. Kwek, C. H. Lai, C. H. Oh, and A. Ekert, “Experimental quantum cloning with prior partial information,” Phys. Rev. Lett. 94, 040505 (2005).
[CrossRef]

2004 (3)

D. L. Moehring, M. J. Madsen, B. B. Blinov, and C. Monroe, “Experimental Bell inequality violation with an atom and a photon,” Phys. Rev. Lett. 93, 090410 (2004).
[CrossRef]

W. Song, M. Yang, and Z. L. Cao, “Scheme for the implementation of optimal phase-covariant quantum cloning for equatorial qubits,” Phys. Lett. A 331, 34–38 (2004).
[CrossRef]

T. Durt, and J. Du, “Characterization of low-cost one-to-two qubit cloning,” Phys. Rev. A 69, 062316 (2004).
[CrossRef]

2003 (7)

P. Milman, H. Ollivier, and J. M. Raimond, “Universal quantum cloning in cavity QED,” Phys. Rev. A 67, 012314 (2003).
[CrossRef]

X. B. Zou, K. Pahlke, and W. Mathis, “Scheme for the implementation of a universal quantum cloning machine via cavity-assisted atomic collisions in cavity QED,” Phys. Rev. A 67, 024304 (2003).
[CrossRef]

J. Fiurášek, “Optical implementations of the optimal phase-covariant quantum cloning machine,” Phys. Rev. A 67, 052314 (2003).
[CrossRef]

P. Navez and N. J. Cerf, “Cloning a real d-dimensional quantum state on the edge of the no-signaling condition,” Phys. Rev. A 68, 032313 (2003).
[CrossRef]

A. K. Parti and S. L. Braunstein, “Quantum deleting and signaling,” Phys. Lett. A 315, 208–212 (2003).
[CrossRef]

H. Fan, H. Imai, K. Matsumoto, and X. B. Wang, “Phase-covariant quantum cloning of qudits,” Phys. Rev. A 67, 022317 (2003).
[CrossRef]

F. Schmidt-Kaler, H. Häffner, M. Riebe, S. Gulde, G. P. T. Lancaster, T. Deuschle, C. Becher, C. F. Roos, J. Eschner, and R. Blatt, “Realization of the Cirac–Zoller controlled-NOT quantum gate,” Nature 422, 408–411 (2003).
[CrossRef]

2002 (3)

H. K. Cummins, C. Jones, A. Furze, N. F. Soffe, M. Mosca, J. M. Peach, and J. A. Jones, “Approximate quantum cloning with nuclear magnetic resonance,” Phys. Rev. Lett. 88, 187901 (2002).
[CrossRef]

A. Lamas-Linares, C. Simon, J. C. Howell, and D. Bouwmeester, “Experimental quantum cloning of single photons,” Science 296, 712–714 (2002).
[CrossRef]

N. Gisin, G. Ribordy, W. Tittel, and H. Zbinden, “Quantum cryptography,” Rev. Mod. Phys. 74, 145–195 (2002).
[CrossRef]

2000 (6)

C. Simon, G. Weihs, and A. Zeilinger, “Optimal quantum cloning via stimulated emission,” Phys. Rev. Lett. 84, 2993–2996 (2000).
[CrossRef]

D. Bruss, M. Cinchetti, G. M. D’Ariano, and C. Macchiavello, “Phase-covariant quantum cloning,” Phys. Rev. A 62, 012302 (2000).
[CrossRef]

N. J. Cerf, “Pauli cloning of a quantum bit,” Phys. Rev. Lett. 84, 4497–4500 (2000).
[CrossRef]

C. A. Sackett, D. Kielpinski, B. E. King, C. Langer, V. Meyer, C. J. Myatt, M. Rowe, Q. A. Turchette, W. M. Itano, D. J. Wineland, and C. Monroe, “Experimental entanglement of four particles,” Nature 404, 256–259 (2000).
[CrossRef]

S. B. Zheng and G. C. Guo, “Efficient scheme for two-atom entanglement and quantum information processing in cavity QED,” Phys. Rev. Lett. 85, 2392–2395 (2000).
[CrossRef]

W. Dür, G. Vidal, and J. I. Cirac, “Three qubits can be entangled in two inequivalent ways,” Phys. Rev. A 62, 062314 (2000).
[CrossRef]

1999 (2)

K. Mølmer and A. Sørensen, “Multiparticle entanglement of hot trapped ions,” Phys. Rev. Lett. 82, 1835–1838 (1999).
[CrossRef]

C. S. Niu, and R. B. Griffiths, “Two-qubit copying machine for economical quantum eavesdropping,” Phys. Rev. A 60, 2764 (1999).
[CrossRef]

1998 (5)

R. F. Werner, “Optimal cloning of pure states,” Phys. Rev. A 58, 1827–1832 (1998).
[CrossRef]

D. Bruss, D. P. DiVincenzo, A. Ekert, C. A. Fuchs, C. Macchiavello, and J. A. Smolin, “Optimal universal and state-dependent quantum cloning,” Phys. Rev. A 57, 2368–2378 (1998).
[CrossRef]

D. Bruss, A. Ekert, and C. Macchiavello, “Optimal universal quantum cloning and state estimation,” Phys. Rev. Lett. 81, 2598–2601 (1998).
[CrossRef]

L. M. Duan and G. C. Guo, “Probabilistic cloning and identification of linearly independent quantum states,” Phys. Rev. Lett. 80, 4999–5002 (1998).
[CrossRef]

L. M. Duan and G. C. Guo, “A probabilistic cloning machine for replicating two non-orthogonal states,” Phys. Lett. A 243, 261–264 (1998).
[CrossRef]

1996 (2)

V. Bužek and M. Hillery, “Quantum copying: beyond the nocloning theorem,” Phys. Rev. A 54, 1844–1852 (1996).
[CrossRef]

D. M. Meekhof, C. Monroe, B. E. King, W. M. Itano, and D. J. Wineland, “Generation of nonclassical motional states of a trapped atom,” Phys. Rev. Lett. 76, 1796–1799 (1996).
[CrossRef]

1982 (1)

W. K. Wootters and W. H. Zurek, “A single quantum cannot be cloned,” Nature 299, 802–803 (1982).
[CrossRef]

Acton, M.

K. A. Brickman, P. C. Haljan, P. J. Lee, M. Acton, L. Deslauriers, C. Monroe, and , “Implementation of Grover’s quantum search algorithm in a scalable system,” Phys. Rev. A 72, 050306(R) (2005).
[CrossRef]

Agrawal, P.

P. Agrawal and A. Pati, “Perfect teleportation and superdense coding with W states,” Phys. Rev. A 74, 062320 (2006).
[CrossRef]

Barrett, M. D.

J. Chiaverini, J. Britton, D. Leibfried, E. Knill, M. D. Barrett, R. B. Blakestad, W. M. Itano, J. D. Jost, C. Langer, R. Ozeri, T. Schaetz, and D. J. Wineland, “Implementation of the semiclassical quantum Fourier transform in a scalable system,” Science 308, 997–1000 (2005).
[CrossRef]

Bartušková, L.

A. Černoch, L. Bartůšková, J. Soubusta, M. Ježek, J. Fiurášek, and M. Dušek, “Experimental phase-covariant cloning of polarization states of single photons,” Phys. Rev. A 74, 042327 (2006).
[CrossRef]

Becher, C.

H. Häffner, W. Hänsel, C. F. Roos, J. Benhelm, D. Chek-al-kar, M. Chwalla, T. Körber, U. D. Rapol, M. Riebe, P. O. Schmidt, C. Becher, O. Gühne, W. Dür, and R. Blatt, “Scalable multiparticle entanglement of trapped ions,” Nature 438, 643–646 (2005).
[CrossRef]

F. Schmidt-Kaler, H. Häffner, M. Riebe, S. Gulde, G. P. T. Lancaster, T. Deuschle, C. Becher, C. F. Roos, J. Eschner, and R. Blatt, “Realization of the Cirac–Zoller controlled-NOT quantum gate,” Nature 422, 408–411 (2003).
[CrossRef]

Benhelm, J.

H. Häffner, W. Hänsel, C. F. Roos, J. Benhelm, D. Chek-al-kar, M. Chwalla, T. Körber, U. D. Rapol, M. Riebe, P. O. Schmidt, C. Becher, O. Gühne, W. Dür, and R. Blatt, “Scalable multiparticle entanglement of trapped ions,” Nature 438, 643–646 (2005).
[CrossRef]

Blakestad, R. B.

R. Reichle, D. Leibfried, E. Knill, J. Britton, R. B. Blakestad, J. D. Jost, C. Langer, R. Ozeri, S. Seidelin, and D. J. Wineland, “Experimental purification of two-atom entanglement,” Nature 443, 838–841 (2006).
[CrossRef]

J. Chiaverini, J. Britton, D. Leibfried, E. Knill, M. D. Barrett, R. B. Blakestad, W. M. Itano, J. D. Jost, C. Langer, R. Ozeri, T. Schaetz, and D. J. Wineland, “Implementation of the semiclassical quantum Fourier transform in a scalable system,” Science 308, 997–1000 (2005).
[CrossRef]

Blatt, R.

H. Häffner, W. Hänsel, C. F. Roos, J. Benhelm, D. Chek-al-kar, M. Chwalla, T. Körber, U. D. Rapol, M. Riebe, P. O. Schmidt, C. Becher, O. Gühne, W. Dür, and R. Blatt, “Scalable multiparticle entanglement of trapped ions,” Nature 438, 643–646 (2005).
[CrossRef]

F. Schmidt-Kaler, H. Häffner, M. Riebe, S. Gulde, G. P. T. Lancaster, T. Deuschle, C. Becher, C. F. Roos, J. Eschner, and R. Blatt, “Realization of the Cirac–Zoller controlled-NOT quantum gate,” Nature 422, 408–411 (2003).
[CrossRef]

Blinov, B. B.

D. L. Moehring, M. J. Madsen, B. B. Blinov, and C. Monroe, “Experimental Bell inequality violation with an atom and a photon,” Phys. Rev. Lett. 93, 090410 (2004).
[CrossRef]

Bouwmeester, D.

A. Lamas-Linares, C. Simon, J. C. Howell, and D. Bouwmeester, “Experimental quantum cloning of single photons,” Science 296, 712–714 (2002).
[CrossRef]

Braunstein, S. L.

A. K. Parti and S. L. Braunstein, “Quantum deleting and signaling,” Phys. Lett. A 315, 208–212 (2003).
[CrossRef]

Brickman, K. A.

K. A. Brickman, P. C. Haljan, P. J. Lee, M. Acton, L. Deslauriers, C. Monroe, and , “Implementation of Grover’s quantum search algorithm in a scalable system,” Phys. Rev. A 72, 050306(R) (2005).
[CrossRef]

Britton, J.

R. Reichle, D. Leibfried, E. Knill, J. Britton, R. B. Blakestad, J. D. Jost, C. Langer, R. Ozeri, S. Seidelin, and D. J. Wineland, “Experimental purification of two-atom entanglement,” Nature 443, 838–841 (2006).
[CrossRef]

J. Chiaverini, J. Britton, D. Leibfried, E. Knill, M. D. Barrett, R. B. Blakestad, W. M. Itano, J. D. Jost, C. Langer, R. Ozeri, T. Schaetz, and D. J. Wineland, “Implementation of the semiclassical quantum Fourier transform in a scalable system,” Science 308, 997–1000 (2005).
[CrossRef]

Bruss, D.

D. Bruss, M. Cinchetti, G. M. D’Ariano, and C. Macchiavello, “Phase-covariant quantum cloning,” Phys. Rev. A 62, 012302 (2000).
[CrossRef]

D. Bruss, D. P. DiVincenzo, A. Ekert, C. A. Fuchs, C. Macchiavello, and J. A. Smolin, “Optimal universal and state-dependent quantum cloning,” Phys. Rev. A 57, 2368–2378 (1998).
[CrossRef]

D. Bruss, A. Ekert, and C. Macchiavello, “Optimal universal quantum cloning and state estimation,” Phys. Rev. Lett. 81, 2598–2601 (1998).
[CrossRef]

Buscemi, F.

F. Buscemi, G. M. D’Ariano, and C. Macchiavello, “Economical phase-covariant cloning of qudits,” Phys. Rev. A 71, 042327 (2005).
[CrossRef]

Bužek, V.

V. Bužek and M. Hillery, “Quantum copying: beyond the nocloning theorem,” Phys. Rev. A 54, 1844–1852 (1996).
[CrossRef]

Cao, Z. L.

W. Song, M. Yang, and Z. L. Cao, “Scheme for the implementation of optimal phase-covariant quantum cloning for equatorial qubits,” Phys. Lett. A 331, 34–38 (2004).
[CrossRef]

Cerf, N. J.

T. Durt, J. Fiurasek, and N. J. Cerf, “Economical quantum cloning in any dimension,” Phys. Rev. A 72, 052322 (2005).
[CrossRef]

P. Navez and N. J. Cerf, “Cloning a real d-dimensional quantum state on the edge of the no-signaling condition,” Phys. Rev. A 68, 032313 (2003).
[CrossRef]

N. J. Cerf, “Pauli cloning of a quantum bit,” Phys. Rev. Lett. 84, 4497–4500 (2000).
[CrossRef]

Cernoch, A.

A. Černoch, L. Bartůšková, J. Soubusta, M. Ježek, J. Fiurášek, and M. Dušek, “Experimental phase-covariant cloning of polarization states of single photons,” Phys. Rev. A 74, 042327 (2006).
[CrossRef]

Chek-al-kar, D.

H. Häffner, W. Hänsel, C. F. Roos, J. Benhelm, D. Chek-al-kar, M. Chwalla, T. Körber, U. D. Rapol, M. Riebe, P. O. Schmidt, C. Becher, O. Gühne, W. Dür, and R. Blatt, “Scalable multiparticle entanglement of trapped ions,” Nature 438, 643–646 (2005).
[CrossRef]

Chen, H. W.

H. W. Chen, X. Y. Zhou, D. Suter, and J. F. Du, “Experimental realization of 1→2 asymmetric phase-covariant quantum cloning,” Phys. Rev. A 75, 012317 (2007).
[CrossRef]

Chiaverini, J.

J. Chiaverini, J. Britton, D. Leibfried, E. Knill, M. D. Barrett, R. B. Blakestad, W. M. Itano, J. D. Jost, C. Langer, R. Ozeri, T. Schaetz, and D. J. Wineland, “Implementation of the semiclassical quantum Fourier transform in a scalable system,” Science 308, 997–1000 (2005).
[CrossRef]

Chwalla, M.

H. Häffner, W. Hänsel, C. F. Roos, J. Benhelm, D. Chek-al-kar, M. Chwalla, T. Körber, U. D. Rapol, M. Riebe, P. O. Schmidt, C. Becher, O. Gühne, W. Dür, and R. Blatt, “Scalable multiparticle entanglement of trapped ions,” Nature 438, 643–646 (2005).
[CrossRef]

Cinchetti, M.

D. Bruss, M. Cinchetti, G. M. D’Ariano, and C. Macchiavello, “Phase-covariant quantum cloning,” Phys. Rev. A 62, 012302 (2000).
[CrossRef]

Cirac, J. I.

W. Dür, G. Vidal, and J. I. Cirac, “Three qubits can be entangled in two inequivalent ways,” Phys. Rev. A 62, 062314 (2000).
[CrossRef]

Cummins, H. K.

H. K. Cummins, C. Jones, A. Furze, N. F. Soffe, M. Mosca, J. M. Peach, and J. A. Jones, “Approximate quantum cloning with nuclear magnetic resonance,” Phys. Rev. Lett. 88, 187901 (2002).
[CrossRef]

D’Ariano, G. M.

F. Buscemi, G. M. D’Ariano, and C. Macchiavello, “Economical phase-covariant cloning of qudits,” Phys. Rev. A 71, 042327 (2005).
[CrossRef]

D. Bruss, M. Cinchetti, G. M. D’Ariano, and C. Macchiavello, “Phase-covariant quantum cloning,” Phys. Rev. A 62, 012302 (2000).
[CrossRef]

Dai, J. L.

W. H. Zhang, J. Wang, L. Ye, and J. L. Dai, “Suboptimal asymmetric economical phase-covariant quantum cloning and telecloning in d-dimension,” Phys. Lett. A 369, 112–119 (2007).
[CrossRef]

W. H. Zhang, L. B. Yu, L. Ye, and J. L. Dai, “Optimal symmetric economical phase-covariant quantum cloning,” Phys. Lett. A 360, 726–730 (2007).
[CrossRef]

W. H. Zhang, T. Wu, L. Ye, and J. L. Dai, “Optimal real state cloning in d dimensions,” Phys. Rev. A 75, 044303 (2007).
[CrossRef]

Deslauriers, L.

K. A. Brickman, P. C. Haljan, P. J. Lee, M. Acton, L. Deslauriers, C. Monroe, and , “Implementation of Grover’s quantum search algorithm in a scalable system,” Phys. Rev. A 72, 050306(R) (2005).
[CrossRef]

Deuschle, T.

F. Schmidt-Kaler, H. Häffner, M. Riebe, S. Gulde, G. P. T. Lancaster, T. Deuschle, C. Becher, C. F. Roos, J. Eschner, and R. Blatt, “Realization of the Cirac–Zoller controlled-NOT quantum gate,” Nature 422, 408–411 (2003).
[CrossRef]

DiVincenzo, D. P.

D. Bruss, D. P. DiVincenzo, A. Ekert, C. A. Fuchs, C. Macchiavello, and J. A. Smolin, “Optimal universal and state-dependent quantum cloning,” Phys. Rev. A 57, 2368–2378 (1998).
[CrossRef]

Du, J.

T. Durt, and J. Du, “Characterization of low-cost one-to-two qubit cloning,” Phys. Rev. A 69, 062316 (2004).
[CrossRef]

Du, J. F.

H. W. Chen, X. Y. Zhou, D. Suter, and J. F. Du, “Experimental realization of 1→2 asymmetric phase-covariant quantum cloning,” Phys. Rev. A 75, 012317 (2007).
[CrossRef]

J. F. Du, T. Durt, P. Zou, H. Li, L. C. Kwek, C. H. Lai, C. H. Oh, and A. Ekert, “Experimental quantum cloning with prior partial information,” Phys. Rev. Lett. 94, 040505 (2005).
[CrossRef]

Duan, L. M.

L. M. Duan and G. C. Guo, “A probabilistic cloning machine for replicating two non-orthogonal states,” Phys. Lett. A 243, 261–264 (1998).
[CrossRef]

L. M. Duan and G. C. Guo, “Probabilistic cloning and identification of linearly independent quantum states,” Phys. Rev. Lett. 80, 4999–5002 (1998).
[CrossRef]

Dür, W.

H. Häffner, W. Hänsel, C. F. Roos, J. Benhelm, D. Chek-al-kar, M. Chwalla, T. Körber, U. D. Rapol, M. Riebe, P. O. Schmidt, C. Becher, O. Gühne, W. Dür, and R. Blatt, “Scalable multiparticle entanglement of trapped ions,” Nature 438, 643–646 (2005).
[CrossRef]

W. Dür, G. Vidal, and J. I. Cirac, “Three qubits can be entangled in two inequivalent ways,” Phys. Rev. A 62, 062314 (2000).
[CrossRef]

Durt, T.

J. F. Du, T. Durt, P. Zou, H. Li, L. C. Kwek, C. H. Lai, C. H. Oh, and A. Ekert, “Experimental quantum cloning with prior partial information,” Phys. Rev. Lett. 94, 040505 (2005).
[CrossRef]

T. Durt, J. Fiurasek, and N. J. Cerf, “Economical quantum cloning in any dimension,” Phys. Rev. A 72, 052322 (2005).
[CrossRef]

T. Durt, and J. Du, “Characterization of low-cost one-to-two qubit cloning,” Phys. Rev. A 69, 062316 (2004).
[CrossRef]

Dušek, M.

A. Černoch, L. Bartůšková, J. Soubusta, M. Ježek, J. Fiurášek, and M. Dušek, “Experimental phase-covariant cloning of polarization states of single photons,” Phys. Rev. A 74, 042327 (2006).
[CrossRef]

Ekert, A.

J. F. Du, T. Durt, P. Zou, H. Li, L. C. Kwek, C. H. Lai, C. H. Oh, and A. Ekert, “Experimental quantum cloning with prior partial information,” Phys. Rev. Lett. 94, 040505 (2005).
[CrossRef]

D. Bruss, A. Ekert, and C. Macchiavello, “Optimal universal quantum cloning and state estimation,” Phys. Rev. Lett. 81, 2598–2601 (1998).
[CrossRef]

D. Bruss, D. P. DiVincenzo, A. Ekert, C. A. Fuchs, C. Macchiavello, and J. A. Smolin, “Optimal universal and state-dependent quantum cloning,” Phys. Rev. A 57, 2368–2378 (1998).
[CrossRef]

Eschner, J.

F. Schmidt-Kaler, H. Häffner, M. Riebe, S. Gulde, G. P. T. Lancaster, T. Deuschle, C. Becher, C. F. Roos, J. Eschner, and R. Blatt, “Realization of the Cirac–Zoller controlled-NOT quantum gate,” Nature 422, 408–411 (2003).
[CrossRef]

Fan, H.

H. Fan, H. Imai, K. Matsumoto, and X. B. Wang, “Phase-covariant quantum cloning of qudits,” Phys. Rev. A 67, 022317 (2003).
[CrossRef]

Fang, B. L.

B. L. Fang, T. Wu, and L Ye, “Realization of a general quantum cloning machine via cavity-assisted interaction,” Europhys. Lett. 97, 60002 (2012).
[CrossRef]

B. L. Fang, T. Wu, and L Ye, “Realization of an economical phase-covariant telecloning in separate cavities,” Quantum Inf. Comput. 12, 0334–0345 (2012).

B. L. Fang, Q. M. Song, and L. Ye, “Realization of a universal and phase-covariant quantum cloning machine in separate cavities,” Phys. Rev. A 83, 042309 (2011).
[CrossRef]

B. L. Fang and L. Ye, “Realization of a phase-covariant and real state qubit quantum cloning machine,” Phys. Lett. A 374, 1966 (2010).
[CrossRef]

B. L. Fang, Z. Yang, and L. Ye, “Realizing a partial general quantum cloning machine with superconducting quantum-interference devices in a cavity QED,” Phys. Rev. A 79, 054308 (2009).
[CrossRef]

Fiurasek, J.

T. Durt, J. Fiurasek, and N. J. Cerf, “Economical quantum cloning in any dimension,” Phys. Rev. A 72, 052322 (2005).
[CrossRef]

Fiurášek, J.

A. Černoch, L. Bartůšková, J. Soubusta, M. Ježek, J. Fiurášek, and M. Dušek, “Experimental phase-covariant cloning of polarization states of single photons,” Phys. Rev. A 74, 042327 (2006).
[CrossRef]

J. Fiurášek, “Optical implementations of the optimal phase-covariant quantum cloning machine,” Phys. Rev. A 67, 052314 (2003).
[CrossRef]

Fuchs, C. A.

D. Bruss, D. P. DiVincenzo, A. Ekert, C. A. Fuchs, C. Macchiavello, and J. A. Smolin, “Optimal universal and state-dependent quantum cloning,” Phys. Rev. A 57, 2368–2378 (1998).
[CrossRef]

Furze, A.

H. K. Cummins, C. Jones, A. Furze, N. F. Soffe, M. Mosca, J. M. Peach, and J. A. Jones, “Approximate quantum cloning with nuclear magnetic resonance,” Phys. Rev. Lett. 88, 187901 (2002).
[CrossRef]

Gisin, N.

V. Scarani, S. Iblisdir, and N. Gisin, “Quantum cloning,” Rev. Mod. Phys. 77, 1225–1256 (2005).
[CrossRef]

N. Gisin, G. Ribordy, W. Tittel, and H. Zbinden, “Quantum cryptography,” Rev. Mod. Phys. 74, 145–195 (2002).
[CrossRef]

Griffiths, R. B.

C. S. Niu, and R. B. Griffiths, “Two-qubit copying machine for economical quantum eavesdropping,” Phys. Rev. A 60, 2764 (1999).
[CrossRef]

Gühne, O.

H. Häffner, W. Hänsel, C. F. Roos, J. Benhelm, D. Chek-al-kar, M. Chwalla, T. Körber, U. D. Rapol, M. Riebe, P. O. Schmidt, C. Becher, O. Gühne, W. Dür, and R. Blatt, “Scalable multiparticle entanglement of trapped ions,” Nature 438, 643–646 (2005).
[CrossRef]

Gulde, S.

F. Schmidt-Kaler, H. Häffner, M. Riebe, S. Gulde, G. P. T. Lancaster, T. Deuschle, C. Becher, C. F. Roos, J. Eschner, and R. Blatt, “Realization of the Cirac–Zoller controlled-NOT quantum gate,” Nature 422, 408–411 (2003).
[CrossRef]

Guo, G. C.

S. B. Zheng and G. C. Guo, “Efficient scheme for two-atom entanglement and quantum information processing in cavity QED,” Phys. Rev. Lett. 85, 2392–2395 (2000).
[CrossRef]

L. M. Duan and G. C. Guo, “Probabilistic cloning and identification of linearly independent quantum states,” Phys. Rev. Lett. 80, 4999–5002 (1998).
[CrossRef]

L. M. Duan and G. C. Guo, “A probabilistic cloning machine for replicating two non-orthogonal states,” Phys. Lett. A 243, 261–264 (1998).
[CrossRef]

Häffner, H.

H. Häffner, W. Hänsel, C. F. Roos, J. Benhelm, D. Chek-al-kar, M. Chwalla, T. Körber, U. D. Rapol, M. Riebe, P. O. Schmidt, C. Becher, O. Gühne, W. Dür, and R. Blatt, “Scalable multiparticle entanglement of trapped ions,” Nature 438, 643–646 (2005).
[CrossRef]

F. Schmidt-Kaler, H. Häffner, M. Riebe, S. Gulde, G. P. T. Lancaster, T. Deuschle, C. Becher, C. F. Roos, J. Eschner, and R. Blatt, “Realization of the Cirac–Zoller controlled-NOT quantum gate,” Nature 422, 408–411 (2003).
[CrossRef]

Haljan, P. C.

K. A. Brickman, P. C. Haljan, P. J. Lee, M. Acton, L. Deslauriers, C. Monroe, and , “Implementation of Grover’s quantum search algorithm in a scalable system,” Phys. Rev. A 72, 050306(R) (2005).
[CrossRef]

Hänsel, W.

H. Häffner, W. Hänsel, C. F. Roos, J. Benhelm, D. Chek-al-kar, M. Chwalla, T. Körber, U. D. Rapol, M. Riebe, P. O. Schmidt, C. Becher, O. Gühne, W. Dür, and R. Blatt, “Scalable multiparticle entanglement of trapped ions,” Nature 438, 643–646 (2005).
[CrossRef]

Hillery, M.

V. Bužek and M. Hillery, “Quantum copying: beyond the nocloning theorem,” Phys. Rev. A 54, 1844–1852 (1996).
[CrossRef]

Howell, J. C.

A. Lamas-Linares, C. Simon, J. C. Howell, and D. Bouwmeester, “Experimental quantum cloning of single photons,” Science 296, 712–714 (2002).
[CrossRef]

Iblisdir, S.

V. Scarani, S. Iblisdir, and N. Gisin, “Quantum cloning,” Rev. Mod. Phys. 77, 1225–1256 (2005).
[CrossRef]

Imai, H.

H. Fan, H. Imai, K. Matsumoto, and X. B. Wang, “Phase-covariant quantum cloning of qudits,” Phys. Rev. A 67, 022317 (2003).
[CrossRef]

Itano, W. M.

J. Chiaverini, J. Britton, D. Leibfried, E. Knill, M. D. Barrett, R. B. Blakestad, W. M. Itano, J. D. Jost, C. Langer, R. Ozeri, T. Schaetz, and D. J. Wineland, “Implementation of the semiclassical quantum Fourier transform in a scalable system,” Science 308, 997–1000 (2005).
[CrossRef]

C. A. Sackett, D. Kielpinski, B. E. King, C. Langer, V. Meyer, C. J. Myatt, M. Rowe, Q. A. Turchette, W. M. Itano, D. J. Wineland, and C. Monroe, “Experimental entanglement of four particles,” Nature 404, 256–259 (2000).
[CrossRef]

D. M. Meekhof, C. Monroe, B. E. King, W. M. Itano, and D. J. Wineland, “Generation of nonclassical motional states of a trapped atom,” Phys. Rev. Lett. 76, 1796–1799 (1996).
[CrossRef]

Ježek, M.

A. Černoch, L. Bartůšková, J. Soubusta, M. Ježek, J. Fiurášek, and M. Dušek, “Experimental phase-covariant cloning of polarization states of single photons,” Phys. Rev. A 74, 042327 (2006).
[CrossRef]

Jones, C.

H. K. Cummins, C. Jones, A. Furze, N. F. Soffe, M. Mosca, J. M. Peach, and J. A. Jones, “Approximate quantum cloning with nuclear magnetic resonance,” Phys. Rev. Lett. 88, 187901 (2002).
[CrossRef]

Jones, J. A.

H. K. Cummins, C. Jones, A. Furze, N. F. Soffe, M. Mosca, J. M. Peach, and J. A. Jones, “Approximate quantum cloning with nuclear magnetic resonance,” Phys. Rev. Lett. 88, 187901 (2002).
[CrossRef]

Jost, J. D.

R. Reichle, D. Leibfried, E. Knill, J. Britton, R. B. Blakestad, J. D. Jost, C. Langer, R. Ozeri, S. Seidelin, and D. J. Wineland, “Experimental purification of two-atom entanglement,” Nature 443, 838–841 (2006).
[CrossRef]

J. Chiaverini, J. Britton, D. Leibfried, E. Knill, M. D. Barrett, R. B. Blakestad, W. M. Itano, J. D. Jost, C. Langer, R. Ozeri, T. Schaetz, and D. J. Wineland, “Implementation of the semiclassical quantum Fourier transform in a scalable system,” Science 308, 997–1000 (2005).
[CrossRef]

Kielpinski, D.

C. A. Sackett, D. Kielpinski, B. E. King, C. Langer, V. Meyer, C. J. Myatt, M. Rowe, Q. A. Turchette, W. M. Itano, D. J. Wineland, and C. Monroe, “Experimental entanglement of four particles,” Nature 404, 256–259 (2000).
[CrossRef]

King, B. E.

C. A. Sackett, D. Kielpinski, B. E. King, C. Langer, V. Meyer, C. J. Myatt, M. Rowe, Q. A. Turchette, W. M. Itano, D. J. Wineland, and C. Monroe, “Experimental entanglement of four particles,” Nature 404, 256–259 (2000).
[CrossRef]

D. M. Meekhof, C. Monroe, B. E. King, W. M. Itano, and D. J. Wineland, “Generation of nonclassical motional states of a trapped atom,” Phys. Rev. Lett. 76, 1796–1799 (1996).
[CrossRef]

Knill, E.

R. Reichle, D. Leibfried, E. Knill, J. Britton, R. B. Blakestad, J. D. Jost, C. Langer, R. Ozeri, S. Seidelin, and D. J. Wineland, “Experimental purification of two-atom entanglement,” Nature 443, 838–841 (2006).
[CrossRef]

J. Chiaverini, J. Britton, D. Leibfried, E. Knill, M. D. Barrett, R. B. Blakestad, W. M. Itano, J. D. Jost, C. Langer, R. Ozeri, T. Schaetz, and D. J. Wineland, “Implementation of the semiclassical quantum Fourier transform in a scalable system,” Science 308, 997–1000 (2005).
[CrossRef]

Körber, T.

H. Häffner, W. Hänsel, C. F. Roos, J. Benhelm, D. Chek-al-kar, M. Chwalla, T. Körber, U. D. Rapol, M. Riebe, P. O. Schmidt, C. Becher, O. Gühne, W. Dür, and R. Blatt, “Scalable multiparticle entanglement of trapped ions,” Nature 438, 643–646 (2005).
[CrossRef]

Kwek, L. C.

J. F. Du, T. Durt, P. Zou, H. Li, L. C. Kwek, C. H. Lai, C. H. Oh, and A. Ekert, “Experimental quantum cloning with prior partial information,” Phys. Rev. Lett. 94, 040505 (2005).
[CrossRef]

Lai, C. H.

J. F. Du, T. Durt, P. Zou, H. Li, L. C. Kwek, C. H. Lai, C. H. Oh, and A. Ekert, “Experimental quantum cloning with prior partial information,” Phys. Rev. Lett. 94, 040505 (2005).
[CrossRef]

Lamas-Linares, A.

A. Lamas-Linares, C. Simon, J. C. Howell, and D. Bouwmeester, “Experimental quantum cloning of single photons,” Science 296, 712–714 (2002).
[CrossRef]

Lancaster, G. P. T.

F. Schmidt-Kaler, H. Häffner, M. Riebe, S. Gulde, G. P. T. Lancaster, T. Deuschle, C. Becher, C. F. Roos, J. Eschner, and R. Blatt, “Realization of the Cirac–Zoller controlled-NOT quantum gate,” Nature 422, 408–411 (2003).
[CrossRef]

Langer, C.

R. Reichle, D. Leibfried, E. Knill, J. Britton, R. B. Blakestad, J. D. Jost, C. Langer, R. Ozeri, S. Seidelin, and D. J. Wineland, “Experimental purification of two-atom entanglement,” Nature 443, 838–841 (2006).
[CrossRef]

J. Chiaverini, J. Britton, D. Leibfried, E. Knill, M. D. Barrett, R. B. Blakestad, W. M. Itano, J. D. Jost, C. Langer, R. Ozeri, T. Schaetz, and D. J. Wineland, “Implementation of the semiclassical quantum Fourier transform in a scalable system,” Science 308, 997–1000 (2005).
[CrossRef]

C. A. Sackett, D. Kielpinski, B. E. King, C. Langer, V. Meyer, C. J. Myatt, M. Rowe, Q. A. Turchette, W. M. Itano, D. J. Wineland, and C. Monroe, “Experimental entanglement of four particles,” Nature 404, 256–259 (2000).
[CrossRef]

Lee, P. J.

K. A. Brickman, P. C. Haljan, P. J. Lee, M. Acton, L. Deslauriers, C. Monroe, and , “Implementation of Grover’s quantum search algorithm in a scalable system,” Phys. Rev. A 72, 050306(R) (2005).
[CrossRef]

Leibfried, D.

R. Reichle, D. Leibfried, E. Knill, J. Britton, R. B. Blakestad, J. D. Jost, C. Langer, R. Ozeri, S. Seidelin, and D. J. Wineland, “Experimental purification of two-atom entanglement,” Nature 443, 838–841 (2006).
[CrossRef]

J. Chiaverini, J. Britton, D. Leibfried, E. Knill, M. D. Barrett, R. B. Blakestad, W. M. Itano, J. D. Jost, C. Langer, R. Ozeri, T. Schaetz, and D. J. Wineland, “Implementation of the semiclassical quantum Fourier transform in a scalable system,” Science 308, 997–1000 (2005).
[CrossRef]

Li, H.

J. F. Du, T. Durt, P. Zou, H. Li, L. C. Kwek, C. H. Lai, C. H. Oh, and A. Ekert, “Experimental quantum cloning with prior partial information,” Phys. Rev. Lett. 94, 040505 (2005).
[CrossRef]

Macchiavello, C.

F. Buscemi, G. M. D’Ariano, and C. Macchiavello, “Economical phase-covariant cloning of qudits,” Phys. Rev. A 71, 042327 (2005).
[CrossRef]

D. Bruss, M. Cinchetti, G. M. D’Ariano, and C. Macchiavello, “Phase-covariant quantum cloning,” Phys. Rev. A 62, 012302 (2000).
[CrossRef]

D. Bruss, D. P. DiVincenzo, A. Ekert, C. A. Fuchs, C. Macchiavello, and J. A. Smolin, “Optimal universal and state-dependent quantum cloning,” Phys. Rev. A 57, 2368–2378 (1998).
[CrossRef]

D. Bruss, A. Ekert, and C. Macchiavello, “Optimal universal quantum cloning and state estimation,” Phys. Rev. Lett. 81, 2598–2601 (1998).
[CrossRef]

Madsen, M. J.

D. L. Moehring, M. J. Madsen, B. B. Blinov, and C. Monroe, “Experimental Bell inequality violation with an atom and a photon,” Phys. Rev. Lett. 93, 090410 (2004).
[CrossRef]

Mathis, W.

X. B. Zou, K. Pahlke, and W. Mathis, “Scheme for the implementation of a universal quantum cloning machine via cavity-assisted atomic collisions in cavity QED,” Phys. Rev. A 67, 024304 (2003).
[CrossRef]

Matsumoto, K.

H. Fan, H. Imai, K. Matsumoto, and X. B. Wang, “Phase-covariant quantum cloning of qudits,” Phys. Rev. A 67, 022317 (2003).
[CrossRef]

Meekhof, D. M.

D. M. Meekhof, C. Monroe, B. E. King, W. M. Itano, and D. J. Wineland, “Generation of nonclassical motional states of a trapped atom,” Phys. Rev. Lett. 76, 1796–1799 (1996).
[CrossRef]

Meyer, V.

C. A. Sackett, D. Kielpinski, B. E. King, C. Langer, V. Meyer, C. J. Myatt, M. Rowe, Q. A. Turchette, W. M. Itano, D. J. Wineland, and C. Monroe, “Experimental entanglement of four particles,” Nature 404, 256–259 (2000).
[CrossRef]

Milman, P.

P. Milman, H. Ollivier, and J. M. Raimond, “Universal quantum cloning in cavity QED,” Phys. Rev. A 67, 012314 (2003).
[CrossRef]

Moehring, D. L.

D. L. Moehring, M. J. Madsen, B. B. Blinov, and C. Monroe, “Experimental Bell inequality violation with an atom and a photon,” Phys. Rev. Lett. 93, 090410 (2004).
[CrossRef]

Mølmer, K.

K. Mølmer and A. Sørensen, “Multiparticle entanglement of hot trapped ions,” Phys. Rev. Lett. 82, 1835–1838 (1999).
[CrossRef]

Monroe, C.

K. A. Brickman, P. C. Haljan, P. J. Lee, M. Acton, L. Deslauriers, C. Monroe, and , “Implementation of Grover’s quantum search algorithm in a scalable system,” Phys. Rev. A 72, 050306(R) (2005).
[CrossRef]

D. L. Moehring, M. J. Madsen, B. B. Blinov, and C. Monroe, “Experimental Bell inequality violation with an atom and a photon,” Phys. Rev. Lett. 93, 090410 (2004).
[CrossRef]

C. A. Sackett, D. Kielpinski, B. E. King, C. Langer, V. Meyer, C. J. Myatt, M. Rowe, Q. A. Turchette, W. M. Itano, D. J. Wineland, and C. Monroe, “Experimental entanglement of four particles,” Nature 404, 256–259 (2000).
[CrossRef]

D. M. Meekhof, C. Monroe, B. E. King, W. M. Itano, and D. J. Wineland, “Generation of nonclassical motional states of a trapped atom,” Phys. Rev. Lett. 76, 1796–1799 (1996).
[CrossRef]

Mosca, M.

H. K. Cummins, C. Jones, A. Furze, N. F. Soffe, M. Mosca, J. M. Peach, and J. A. Jones, “Approximate quantum cloning with nuclear magnetic resonance,” Phys. Rev. Lett. 88, 187901 (2002).
[CrossRef]

Myatt, C. J.

C. A. Sackett, D. Kielpinski, B. E. King, C. Langer, V. Meyer, C. J. Myatt, M. Rowe, Q. A. Turchette, W. M. Itano, D. J. Wineland, and C. Monroe, “Experimental entanglement of four particles,” Nature 404, 256–259 (2000).
[CrossRef]

Navez, P.

P. Navez and N. J. Cerf, “Cloning a real d-dimensional quantum state on the edge of the no-signaling condition,” Phys. Rev. A 68, 032313 (2003).
[CrossRef]

Niu, C. S.

C. S. Niu, and R. B. Griffiths, “Two-qubit copying machine for economical quantum eavesdropping,” Phys. Rev. A 60, 2764 (1999).
[CrossRef]

Oh, C. H.

J. F. Du, T. Durt, P. Zou, H. Li, L. C. Kwek, C. H. Lai, C. H. Oh, and A. Ekert, “Experimental quantum cloning with prior partial information,” Phys. Rev. Lett. 94, 040505 (2005).
[CrossRef]

Ollivier, H.

P. Milman, H. Ollivier, and J. M. Raimond, “Universal quantum cloning in cavity QED,” Phys. Rev. A 67, 012314 (2003).
[CrossRef]

Ozeri, R.

R. Reichle, D. Leibfried, E. Knill, J. Britton, R. B. Blakestad, J. D. Jost, C. Langer, R. Ozeri, S. Seidelin, and D. J. Wineland, “Experimental purification of two-atom entanglement,” Nature 443, 838–841 (2006).
[CrossRef]

J. Chiaverini, J. Britton, D. Leibfried, E. Knill, M. D. Barrett, R. B. Blakestad, W. M. Itano, J. D. Jost, C. Langer, R. Ozeri, T. Schaetz, and D. J. Wineland, “Implementation of the semiclassical quantum Fourier transform in a scalable system,” Science 308, 997–1000 (2005).
[CrossRef]

Pahlke, K.

X. B. Zou, K. Pahlke, and W. Mathis, “Scheme for the implementation of a universal quantum cloning machine via cavity-assisted atomic collisions in cavity QED,” Phys. Rev. A 67, 024304 (2003).
[CrossRef]

Parti, A. K.

A. K. Parti and S. L. Braunstein, “Quantum deleting and signaling,” Phys. Lett. A 315, 208–212 (2003).
[CrossRef]

Pati, A.

P. Agrawal and A. Pati, “Perfect teleportation and superdense coding with W states,” Phys. Rev. A 74, 062320 (2006).
[CrossRef]

Peach, J. M.

H. K. Cummins, C. Jones, A. Furze, N. F. Soffe, M. Mosca, J. M. Peach, and J. A. Jones, “Approximate quantum cloning with nuclear magnetic resonance,” Phys. Rev. Lett. 88, 187901 (2002).
[CrossRef]

Raimond, J. M.

P. Milman, H. Ollivier, and J. M. Raimond, “Universal quantum cloning in cavity QED,” Phys. Rev. A 67, 012314 (2003).
[CrossRef]

Rapol, U. D.

H. Häffner, W. Hänsel, C. F. Roos, J. Benhelm, D. Chek-al-kar, M. Chwalla, T. Körber, U. D. Rapol, M. Riebe, P. O. Schmidt, C. Becher, O. Gühne, W. Dür, and R. Blatt, “Scalable multiparticle entanglement of trapped ions,” Nature 438, 643–646 (2005).
[CrossRef]

Reichle, R.

R. Reichle, D. Leibfried, E. Knill, J. Britton, R. B. Blakestad, J. D. Jost, C. Langer, R. Ozeri, S. Seidelin, and D. J. Wineland, “Experimental purification of two-atom entanglement,” Nature 443, 838–841 (2006).
[CrossRef]

Ribordy, G.

N. Gisin, G. Ribordy, W. Tittel, and H. Zbinden, “Quantum cryptography,” Rev. Mod. Phys. 74, 145–195 (2002).
[CrossRef]

Riebe, M.

H. Häffner, W. Hänsel, C. F. Roos, J. Benhelm, D. Chek-al-kar, M. Chwalla, T. Körber, U. D. Rapol, M. Riebe, P. O. Schmidt, C. Becher, O. Gühne, W. Dür, and R. Blatt, “Scalable multiparticle entanglement of trapped ions,” Nature 438, 643–646 (2005).
[CrossRef]

F. Schmidt-Kaler, H. Häffner, M. Riebe, S. Gulde, G. P. T. Lancaster, T. Deuschle, C. Becher, C. F. Roos, J. Eschner, and R. Blatt, “Realization of the Cirac–Zoller controlled-NOT quantum gate,” Nature 422, 408–411 (2003).
[CrossRef]

Roos, C. F.

H. Häffner, W. Hänsel, C. F. Roos, J. Benhelm, D. Chek-al-kar, M. Chwalla, T. Körber, U. D. Rapol, M. Riebe, P. O. Schmidt, C. Becher, O. Gühne, W. Dür, and R. Blatt, “Scalable multiparticle entanglement of trapped ions,” Nature 438, 643–646 (2005).
[CrossRef]

F. Schmidt-Kaler, H. Häffner, M. Riebe, S. Gulde, G. P. T. Lancaster, T. Deuschle, C. Becher, C. F. Roos, J. Eschner, and R. Blatt, “Realization of the Cirac–Zoller controlled-NOT quantum gate,” Nature 422, 408–411 (2003).
[CrossRef]

Rowe, M.

C. A. Sackett, D. Kielpinski, B. E. King, C. Langer, V. Meyer, C. J. Myatt, M. Rowe, Q. A. Turchette, W. M. Itano, D. J. Wineland, and C. Monroe, “Experimental entanglement of four particles,” Nature 404, 256–259 (2000).
[CrossRef]

Sackett, C. A.

C. A. Sackett, D. Kielpinski, B. E. King, C. Langer, V. Meyer, C. J. Myatt, M. Rowe, Q. A. Turchette, W. M. Itano, D. J. Wineland, and C. Monroe, “Experimental entanglement of four particles,” Nature 404, 256–259 (2000).
[CrossRef]

Scarani, V.

V. Scarani, S. Iblisdir, and N. Gisin, “Quantum cloning,” Rev. Mod. Phys. 77, 1225–1256 (2005).
[CrossRef]

Schaetz, T.

J. Chiaverini, J. Britton, D. Leibfried, E. Knill, M. D. Barrett, R. B. Blakestad, W. M. Itano, J. D. Jost, C. Langer, R. Ozeri, T. Schaetz, and D. J. Wineland, “Implementation of the semiclassical quantum Fourier transform in a scalable system,” Science 308, 997–1000 (2005).
[CrossRef]

Schmidt, P. O.

H. Häffner, W. Hänsel, C. F. Roos, J. Benhelm, D. Chek-al-kar, M. Chwalla, T. Körber, U. D. Rapol, M. Riebe, P. O. Schmidt, C. Becher, O. Gühne, W. Dür, and R. Blatt, “Scalable multiparticle entanglement of trapped ions,” Nature 438, 643–646 (2005).
[CrossRef]

Schmidt-Kaler, F.

F. Schmidt-Kaler, H. Häffner, M. Riebe, S. Gulde, G. P. T. Lancaster, T. Deuschle, C. Becher, C. F. Roos, J. Eschner, and R. Blatt, “Realization of the Cirac–Zoller controlled-NOT quantum gate,” Nature 422, 408–411 (2003).
[CrossRef]

Seidelin, S.

R. Reichle, D. Leibfried, E. Knill, J. Britton, R. B. Blakestad, J. D. Jost, C. Langer, R. Ozeri, S. Seidelin, and D. J. Wineland, “Experimental purification of two-atom entanglement,” Nature 443, 838–841 (2006).
[CrossRef]

Simon, C.

A. Lamas-Linares, C. Simon, J. C. Howell, and D. Bouwmeester, “Experimental quantum cloning of single photons,” Science 296, 712–714 (2002).
[CrossRef]

C. Simon, G. Weihs, and A. Zeilinger, “Optimal quantum cloning via stimulated emission,” Phys. Rev. Lett. 84, 2993–2996 (2000).
[CrossRef]

Smolin, J. A.

D. Bruss, D. P. DiVincenzo, A. Ekert, C. A. Fuchs, C. Macchiavello, and J. A. Smolin, “Optimal universal and state-dependent quantum cloning,” Phys. Rev. A 57, 2368–2378 (1998).
[CrossRef]

Soffe, N. F.

H. K. Cummins, C. Jones, A. Furze, N. F. Soffe, M. Mosca, J. M. Peach, and J. A. Jones, “Approximate quantum cloning with nuclear magnetic resonance,” Phys. Rev. Lett. 88, 187901 (2002).
[CrossRef]

Song, Q. M.

B. L. Fang, Q. M. Song, and L. Ye, “Realization of a universal and phase-covariant quantum cloning machine in separate cavities,” Phys. Rev. A 83, 042309 (2011).
[CrossRef]

Song, W.

W. Song, M. Yang, and Z. L. Cao, “Scheme for the implementation of optimal phase-covariant quantum cloning for equatorial qubits,” Phys. Lett. A 331, 34–38 (2004).
[CrossRef]

Sørensen, A.

K. Mølmer and A. Sørensen, “Multiparticle entanglement of hot trapped ions,” Phys. Rev. Lett. 82, 1835–1838 (1999).
[CrossRef]

Soubusta, J.

A. Černoch, L. Bartůšková, J. Soubusta, M. Ježek, J. Fiurášek, and M. Dušek, “Experimental phase-covariant cloning of polarization states of single photons,” Phys. Rev. A 74, 042327 (2006).
[CrossRef]

Suter, D.

H. W. Chen, X. Y. Zhou, D. Suter, and J. F. Du, “Experimental realization of 1→2 asymmetric phase-covariant quantum cloning,” Phys. Rev. A 75, 012317 (2007).
[CrossRef]

Tittel, W.

N. Gisin, G. Ribordy, W. Tittel, and H. Zbinden, “Quantum cryptography,” Rev. Mod. Phys. 74, 145–195 (2002).
[CrossRef]

Turchette, Q. A.

C. A. Sackett, D. Kielpinski, B. E. King, C. Langer, V. Meyer, C. J. Myatt, M. Rowe, Q. A. Turchette, W. M. Itano, D. J. Wineland, and C. Monroe, “Experimental entanglement of four particles,” Nature 404, 256–259 (2000).
[CrossRef]

Vidal, G.

W. Dür, G. Vidal, and J. I. Cirac, “Three qubits can be entangled in two inequivalent ways,” Phys. Rev. A 62, 062314 (2000).
[CrossRef]

Wang, J.

W. H. Zhang, J. Wang, L. Ye, and J. L. Dai, “Suboptimal asymmetric economical phase-covariant quantum cloning and telecloning in d-dimension,” Phys. Lett. A 369, 112–119 (2007).
[CrossRef]

Wang, X. B.

H. Fan, H. Imai, K. Matsumoto, and X. B. Wang, “Phase-covariant quantum cloning of qudits,” Phys. Rev. A 67, 022317 (2003).
[CrossRef]

Weihs, G.

C. Simon, G. Weihs, and A. Zeilinger, “Optimal quantum cloning via stimulated emission,” Phys. Rev. Lett. 84, 2993–2996 (2000).
[CrossRef]

Werner, R. F.

R. F. Werner, “Optimal cloning of pure states,” Phys. Rev. A 58, 1827–1832 (1998).
[CrossRef]

Wineland, D. J.

R. Reichle, D. Leibfried, E. Knill, J. Britton, R. B. Blakestad, J. D. Jost, C. Langer, R. Ozeri, S. Seidelin, and D. J. Wineland, “Experimental purification of two-atom entanglement,” Nature 443, 838–841 (2006).
[CrossRef]

J. Chiaverini, J. Britton, D. Leibfried, E. Knill, M. D. Barrett, R. B. Blakestad, W. M. Itano, J. D. Jost, C. Langer, R. Ozeri, T. Schaetz, and D. J. Wineland, “Implementation of the semiclassical quantum Fourier transform in a scalable system,” Science 308, 997–1000 (2005).
[CrossRef]

C. A. Sackett, D. Kielpinski, B. E. King, C. Langer, V. Meyer, C. J. Myatt, M. Rowe, Q. A. Turchette, W. M. Itano, D. J. Wineland, and C. Monroe, “Experimental entanglement of four particles,” Nature 404, 256–259 (2000).
[CrossRef]

D. M. Meekhof, C. Monroe, B. E. King, W. M. Itano, and D. J. Wineland, “Generation of nonclassical motional states of a trapped atom,” Phys. Rev. Lett. 76, 1796–1799 (1996).
[CrossRef]

Wootters, W. K.

W. K. Wootters and W. H. Zurek, “A single quantum cannot be cloned,” Nature 299, 802–803 (1982).
[CrossRef]

Wu, T.

B. L. Fang, T. Wu, and L Ye, “Realization of an economical phase-covariant telecloning in separate cavities,” Quantum Inf. Comput. 12, 0334–0345 (2012).

B. L. Fang, T. Wu, and L Ye, “Realization of a general quantum cloning machine via cavity-assisted interaction,” Europhys. Lett. 97, 60002 (2012).
[CrossRef]

W. H. Zhang, T. Wu, L. Ye, and J. L. Dai, “Optimal real state cloning in d dimensions,” Phys. Rev. A 75, 044303 (2007).
[CrossRef]

Xiong, W.

Yang, M.

W. Song, M. Yang, and Z. L. Cao, “Scheme for the implementation of optimal phase-covariant quantum cloning for equatorial qubits,” Phys. Lett. A 331, 34–38 (2004).
[CrossRef]

Yang, Z.

B. L. Fang, Z. Yang, and L. Ye, “Realizing a partial general quantum cloning machine with superconducting quantum-interference devices in a cavity QED,” Phys. Rev. A 79, 054308 (2009).
[CrossRef]

Ye, L

B. L. Fang, T. Wu, and L Ye, “Realization of a general quantum cloning machine via cavity-assisted interaction,” Europhys. Lett. 97, 60002 (2012).
[CrossRef]

B. L. Fang, T. Wu, and L Ye, “Realization of an economical phase-covariant telecloning in separate cavities,” Quantum Inf. Comput. 12, 0334–0345 (2012).

Ye, L.

B. L. Fang, Q. M. Song, and L. Ye, “Realization of a universal and phase-covariant quantum cloning machine in separate cavities,” Phys. Rev. A 83, 042309 (2011).
[CrossRef]

W. Xiong, and L. Ye, “Optimal real state quantum cloning machine in cavity quantum electrodynamics,” J. Opt. Soc. Am. B 28, 2260–2264 (2011).
[CrossRef]

B. L. Fang and L. Ye, “Realization of a phase-covariant and real state qubit quantum cloning machine,” Phys. Lett. A 374, 1966 (2010).
[CrossRef]

B. L. Fang, Z. Yang, and L. Ye, “Realizing a partial general quantum cloning machine with superconducting quantum-interference devices in a cavity QED,” Phys. Rev. A 79, 054308 (2009).
[CrossRef]

L. B. Yu, W. H. Zhang, and L. Ye, “Implementing an ancilla-free 1→M economical phase-covariant quantum cloning machine with superconducting quantum-interference devices in cavity QED,” Phys. Rev. A 76, 034303 (2007).
[CrossRef]

W. H. Zhang, T. Wu, L. Ye, and J. L. Dai, “Optimal real state cloning in d dimensions,” Phys. Rev. A 75, 044303 (2007).
[CrossRef]

W. H. Zhang, J. Wang, L. Ye, and J. L. Dai, “Suboptimal asymmetric economical phase-covariant quantum cloning and telecloning in d-dimension,” Phys. Lett. A 369, 112–119 (2007).
[CrossRef]

W. H. Zhang, L. B. Yu, L. Ye, and J. L. Dai, “Optimal symmetric economical phase-covariant quantum cloning,” Phys. Lett. A 360, 726–730 (2007).
[CrossRef]

W. H. Zhang and L. Ye, “Optimal asymmetric phase-covariant and real state cloning in d dimensions,” New J. Phys. 9, 318 (2007).
[CrossRef]

W. H. Zhang, L. B. Yu, and L. Ye, “Optimal asymmetric phase-covariant quantum cloning,” Phys. Lett. A 356, 195–198 (2006).
[CrossRef]

W. H. Zhang, and L. Ye, “Scheme to implement general economical phase-covariant telecloning,” Phys. Lett. A 353, 130–137 (2006).
[CrossRef]

W. H. Zhang, and L. Ye, “Cavity-QED scheme to implement the optimal symmetric approximate quantum telecloning,” Phys. Lett. A 354, 344–352 (2006).
[CrossRef]

Yu, L. B.

L. B. Yu, W. H. Zhang, and L. Ye, “Implementing an ancilla-free 1→M economical phase-covariant quantum cloning machine with superconducting quantum-interference devices in cavity QED,” Phys. Rev. A 76, 034303 (2007).
[CrossRef]

W. H. Zhang, L. B. Yu, L. Ye, and J. L. Dai, “Optimal symmetric economical phase-covariant quantum cloning,” Phys. Lett. A 360, 726–730 (2007).
[CrossRef]

W. H. Zhang, L. B. Yu, and L. Ye, “Optimal asymmetric phase-covariant quantum cloning,” Phys. Lett. A 356, 195–198 (2006).
[CrossRef]

Zbinden, H.

N. Gisin, G. Ribordy, W. Tittel, and H. Zbinden, “Quantum cryptography,” Rev. Mod. Phys. 74, 145–195 (2002).
[CrossRef]

Zeilinger, A.

C. Simon, G. Weihs, and A. Zeilinger, “Optimal quantum cloning via stimulated emission,” Phys. Rev. Lett. 84, 2993–2996 (2000).
[CrossRef]

Zhang, W. H.

L. B. Yu, W. H. Zhang, and L. Ye, “Implementing an ancilla-free 1→M economical phase-covariant quantum cloning machine with superconducting quantum-interference devices in cavity QED,” Phys. Rev. A 76, 034303 (2007).
[CrossRef]

W. H. Zhang and L. Ye, “Optimal asymmetric phase-covariant and real state cloning in d dimensions,” New J. Phys. 9, 318 (2007).
[CrossRef]

W. H. Zhang, J. Wang, L. Ye, and J. L. Dai, “Suboptimal asymmetric economical phase-covariant quantum cloning and telecloning in d-dimension,” Phys. Lett. A 369, 112–119 (2007).
[CrossRef]

W. H. Zhang, L. B. Yu, L. Ye, and J. L. Dai, “Optimal symmetric economical phase-covariant quantum cloning,” Phys. Lett. A 360, 726–730 (2007).
[CrossRef]

W. H. Zhang, T. Wu, L. Ye, and J. L. Dai, “Optimal real state cloning in d dimensions,” Phys. Rev. A 75, 044303 (2007).
[CrossRef]

W. H. Zhang, L. B. Yu, and L. Ye, “Optimal asymmetric phase-covariant quantum cloning,” Phys. Lett. A 356, 195–198 (2006).
[CrossRef]

W. H. Zhang, and L. Ye, “Cavity-QED scheme to implement the optimal symmetric approximate quantum telecloning,” Phys. Lett. A 354, 344–352 (2006).
[CrossRef]

W. H. Zhang, and L. Ye, “Scheme to implement general economical phase-covariant telecloning,” Phys. Lett. A 353, 130–137 (2006).
[CrossRef]

Zheng, S. B.

S. B. Zheng, “Splitting quantum information via W states,” Phys. Rev. A 74, 054303 (2006).
[CrossRef]

S. B. Zheng and G. C. Guo, “Efficient scheme for two-atom entanglement and quantum information processing in cavity QED,” Phys. Rev. Lett. 85, 2392–2395 (2000).
[CrossRef]

Zhou, X. Y.

H. W. Chen, X. Y. Zhou, D. Suter, and J. F. Du, “Experimental realization of 1→2 asymmetric phase-covariant quantum cloning,” Phys. Rev. A 75, 012317 (2007).
[CrossRef]

Zou, P.

J. F. Du, T. Durt, P. Zou, H. Li, L. C. Kwek, C. H. Lai, C. H. Oh, and A. Ekert, “Experimental quantum cloning with prior partial information,” Phys. Rev. Lett. 94, 040505 (2005).
[CrossRef]

Zou, X. B.

X. B. Zou, K. Pahlke, and W. Mathis, “Scheme for the implementation of a universal quantum cloning machine via cavity-assisted atomic collisions in cavity QED,” Phys. Rev. A 67, 024304 (2003).
[CrossRef]

Zurek, W. H.

W. K. Wootters and W. H. Zurek, “A single quantum cannot be cloned,” Nature 299, 802–803 (1982).
[CrossRef]

Europhys. Lett. (1)

B. L. Fang, T. Wu, and L Ye, “Realization of a general quantum cloning machine via cavity-assisted interaction,” Europhys. Lett. 97, 60002 (2012).
[CrossRef]

J. Opt. Soc. Am. B (1)

Nature (5)

H. Häffner, W. Hänsel, C. F. Roos, J. Benhelm, D. Chek-al-kar, M. Chwalla, T. Körber, U. D. Rapol, M. Riebe, P. O. Schmidt, C. Becher, O. Gühne, W. Dür, and R. Blatt, “Scalable multiparticle entanglement of trapped ions,” Nature 438, 643–646 (2005).
[CrossRef]

R. Reichle, D. Leibfried, E. Knill, J. Britton, R. B. Blakestad, J. D. Jost, C. Langer, R. Ozeri, S. Seidelin, and D. J. Wineland, “Experimental purification of two-atom entanglement,” Nature 443, 838–841 (2006).
[CrossRef]

C. A. Sackett, D. Kielpinski, B. E. King, C. Langer, V. Meyer, C. J. Myatt, M. Rowe, Q. A. Turchette, W. M. Itano, D. J. Wineland, and C. Monroe, “Experimental entanglement of four particles,” Nature 404, 256–259 (2000).
[CrossRef]

F. Schmidt-Kaler, H. Häffner, M. Riebe, S. Gulde, G. P. T. Lancaster, T. Deuschle, C. Becher, C. F. Roos, J. Eschner, and R. Blatt, “Realization of the Cirac–Zoller controlled-NOT quantum gate,” Nature 422, 408–411 (2003).
[CrossRef]

W. K. Wootters and W. H. Zurek, “A single quantum cannot be cloned,” Nature 299, 802–803 (1982).
[CrossRef]

New J. Phys. (1)

W. H. Zhang and L. Ye, “Optimal asymmetric phase-covariant and real state cloning in d dimensions,” New J. Phys. 9, 318 (2007).
[CrossRef]

Phys. Lett. A (9)

W. H. Zhang, J. Wang, L. Ye, and J. L. Dai, “Suboptimal asymmetric economical phase-covariant quantum cloning and telecloning in d-dimension,” Phys. Lett. A 369, 112–119 (2007).
[CrossRef]

W. H. Zhang, L. B. Yu, L. Ye, and J. L. Dai, “Optimal symmetric economical phase-covariant quantum cloning,” Phys. Lett. A 360, 726–730 (2007).
[CrossRef]

A. K. Parti and S. L. Braunstein, “Quantum deleting and signaling,” Phys. Lett. A 315, 208–212 (2003).
[CrossRef]

L. M. Duan and G. C. Guo, “A probabilistic cloning machine for replicating two non-orthogonal states,” Phys. Lett. A 243, 261–264 (1998).
[CrossRef]

W. H. Zhang, L. B. Yu, and L. Ye, “Optimal asymmetric phase-covariant quantum cloning,” Phys. Lett. A 356, 195–198 (2006).
[CrossRef]

W. Song, M. Yang, and Z. L. Cao, “Scheme for the implementation of optimal phase-covariant quantum cloning for equatorial qubits,” Phys. Lett. A 331, 34–38 (2004).
[CrossRef]

W. H. Zhang, and L. Ye, “Scheme to implement general economical phase-covariant telecloning,” Phys. Lett. A 353, 130–137 (2006).
[CrossRef]

W. H. Zhang, and L. Ye, “Cavity-QED scheme to implement the optimal symmetric approximate quantum telecloning,” Phys. Lett. A 354, 344–352 (2006).
[CrossRef]

B. L. Fang and L. Ye, “Realization of a phase-covariant and real state qubit quantum cloning machine,” Phys. Lett. A 374, 1966 (2010).
[CrossRef]

Phys. Rev. A (23)

H. Fan, H. Imai, K. Matsumoto, and X. B. Wang, “Phase-covariant quantum cloning of qudits,” Phys. Rev. A 67, 022317 (2003).
[CrossRef]

D. Bruss, M. Cinchetti, G. M. D’Ariano, and C. Macchiavello, “Phase-covariant quantum cloning,” Phys. Rev. A 62, 012302 (2000).
[CrossRef]

P. Navez and N. J. Cerf, “Cloning a real d-dimensional quantum state on the edge of the no-signaling condition,” Phys. Rev. A 68, 032313 (2003).
[CrossRef]

L. B. Yu, W. H. Zhang, and L. Ye, “Implementing an ancilla-free 1→M economical phase-covariant quantum cloning machine with superconducting quantum-interference devices in cavity QED,” Phys. Rev. A 76, 034303 (2007).
[CrossRef]

B. L. Fang, Z. Yang, and L. Ye, “Realizing a partial general quantum cloning machine with superconducting quantum-interference devices in a cavity QED,” Phys. Rev. A 79, 054308 (2009).
[CrossRef]

P. Milman, H. Ollivier, and J. M. Raimond, “Universal quantum cloning in cavity QED,” Phys. Rev. A 67, 012314 (2003).
[CrossRef]

X. B. Zou, K. Pahlke, and W. Mathis, “Scheme for the implementation of a universal quantum cloning machine via cavity-assisted atomic collisions in cavity QED,” Phys. Rev. A 67, 024304 (2003).
[CrossRef]

B. L. Fang, Q. M. Song, and L. Ye, “Realization of a universal and phase-covariant quantum cloning machine in separate cavities,” Phys. Rev. A 83, 042309 (2011).
[CrossRef]

V. Bužek and M. Hillery, “Quantum copying: beyond the nocloning theorem,” Phys. Rev. A 54, 1844–1852 (1996).
[CrossRef]

R. F. Werner, “Optimal cloning of pure states,” Phys. Rev. A 58, 1827–1832 (1998).
[CrossRef]

D. Bruss, D. P. DiVincenzo, A. Ekert, C. A. Fuchs, C. Macchiavello, and J. A. Smolin, “Optimal universal and state-dependent quantum cloning,” Phys. Rev. A 57, 2368–2378 (1998).
[CrossRef]

F. Buscemi, G. M. D’Ariano, and C. Macchiavello, “Economical phase-covariant cloning of qudits,” Phys. Rev. A 71, 042327 (2005).
[CrossRef]

C. S. Niu, and R. B. Griffiths, “Two-qubit copying machine for economical quantum eavesdropping,” Phys. Rev. A 60, 2764 (1999).
[CrossRef]

J. Fiurášek, “Optical implementations of the optimal phase-covariant quantum cloning machine,” Phys. Rev. A 67, 052314 (2003).
[CrossRef]

T. Durt, J. Fiurasek, and N. J. Cerf, “Economical quantum cloning in any dimension,” Phys. Rev. A 72, 052322 (2005).
[CrossRef]

T. Durt, and J. Du, “Characterization of low-cost one-to-two qubit cloning,” Phys. Rev. A 69, 062316 (2004).
[CrossRef]

W. H. Zhang, T. Wu, L. Ye, and J. L. Dai, “Optimal real state cloning in d dimensions,” Phys. Rev. A 75, 044303 (2007).
[CrossRef]

A. Černoch, L. Bartůšková, J. Soubusta, M. Ježek, J. Fiurášek, and M. Dušek, “Experimental phase-covariant cloning of polarization states of single photons,” Phys. Rev. A 74, 042327 (2006).
[CrossRef]

H. W. Chen, X. Y. Zhou, D. Suter, and J. F. Du, “Experimental realization of 1→2 asymmetric phase-covariant quantum cloning,” Phys. Rev. A 75, 012317 (2007).
[CrossRef]

K. A. Brickman, P. C. Haljan, P. J. Lee, M. Acton, L. Deslauriers, C. Monroe, and , “Implementation of Grover’s quantum search algorithm in a scalable system,” Phys. Rev. A 72, 050306(R) (2005).
[CrossRef]

S. B. Zheng, “Splitting quantum information via W states,” Phys. Rev. A 74, 054303 (2006).
[CrossRef]

P. Agrawal and A. Pati, “Perfect teleportation and superdense coding with W states,” Phys. Rev. A 74, 062320 (2006).
[CrossRef]

W. Dür, G. Vidal, and J. I. Cirac, “Three qubits can be entangled in two inequivalent ways,” Phys. Rev. A 62, 062314 (2000).
[CrossRef]

Phys. Rev. Lett. (10)

S. B. Zheng and G. C. Guo, “Efficient scheme for two-atom entanglement and quantum information processing in cavity QED,” Phys. Rev. Lett. 85, 2392–2395 (2000).
[CrossRef]

D. M. Meekhof, C. Monroe, B. E. King, W. M. Itano, and D. J. Wineland, “Generation of nonclassical motional states of a trapped atom,” Phys. Rev. Lett. 76, 1796–1799 (1996).
[CrossRef]

D. L. Moehring, M. J. Madsen, B. B. Blinov, and C. Monroe, “Experimental Bell inequality violation with an atom and a photon,” Phys. Rev. Lett. 93, 090410 (2004).
[CrossRef]

J. F. Du, T. Durt, P. Zou, H. Li, L. C. Kwek, C. H. Lai, C. H. Oh, and A. Ekert, “Experimental quantum cloning with prior partial information,” Phys. Rev. Lett. 94, 040505 (2005).
[CrossRef]

H. K. Cummins, C. Jones, A. Furze, N. F. Soffe, M. Mosca, J. M. Peach, and J. A. Jones, “Approximate quantum cloning with nuclear magnetic resonance,” Phys. Rev. Lett. 88, 187901 (2002).
[CrossRef]

K. Mølmer and A. Sørensen, “Multiparticle entanglement of hot trapped ions,” Phys. Rev. Lett. 82, 1835–1838 (1999).
[CrossRef]

D. Bruss, A. Ekert, and C. Macchiavello, “Optimal universal quantum cloning and state estimation,” Phys. Rev. Lett. 81, 2598–2601 (1998).
[CrossRef]

L. M. Duan and G. C. Guo, “Probabilistic cloning and identification of linearly independent quantum states,” Phys. Rev. Lett. 80, 4999–5002 (1998).
[CrossRef]

N. J. Cerf, “Pauli cloning of a quantum bit,” Phys. Rev. Lett. 84, 4497–4500 (2000).
[CrossRef]

C. Simon, G. Weihs, and A. Zeilinger, “Optimal quantum cloning via stimulated emission,” Phys. Rev. Lett. 84, 2993–2996 (2000).
[CrossRef]

Quantum Inf. Comput. (1)

B. L. Fang, T. Wu, and L Ye, “Realization of an economical phase-covariant telecloning in separate cavities,” Quantum Inf. Comput. 12, 0334–0345 (2012).

Rev. Mod. Phys. (2)

N. Gisin, G. Ribordy, W. Tittel, and H. Zbinden, “Quantum cryptography,” Rev. Mod. Phys. 74, 145–195 (2002).
[CrossRef]

V. Scarani, S. Iblisdir, and N. Gisin, “Quantum cloning,” Rev. Mod. Phys. 77, 1225–1256 (2005).
[CrossRef]

Science (2)

A. Lamas-Linares, C. Simon, J. C. Howell, and D. Bouwmeester, “Experimental quantum cloning of single photons,” Science 296, 712–714 (2002).
[CrossRef]

J. Chiaverini, J. Britton, D. Leibfried, E. Knill, M. D. Barrett, R. B. Blakestad, W. M. Itano, J. D. Jost, C. Langer, R. Ozeri, T. Schaetz, and D. J. Wineland, “Implementation of the semiclassical quantum Fourier transform in a scalable system,” Science 308, 997–1000 (2005).
[CrossRef]

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Equations (19)

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He,1=λ(i=1N|eiie|+i,j=1Nσi+σj),ij,
He,2=λ[i=1N|eiie|+|giig|+i,j=1N(σi+σj++σi+σj+H.C.)],ij.
U=12(1111111111111111).
Gc-not=R1+UR1=(1000010000010010).
|ψ1234in=(α|g+eiϕβ|e)1|g2|g3|e4.
He,1=λ(i=24|eiie|+i,j=24σi+σj),ij.
|ψ234=ei3λt1/2{[cos(3λt1/2)+13isin(3λt1/2)]|g2|g3|e423isin(3λt1/2)(|g2|e3|g4+|e2|g3|g4)}.
|ψ234=23eiφ|g2|g3|e4+16(|g2|e3|g4+|e2|g3|g4).
|ψ234=23|g2|g3|e4+16(|g2|e3|g4+|e2|g3|g4).
|ψ1234in=α|g1[23|g2|g3|e4+16(|g2|e3|g4+|e2|g3|g4)]+eiϕβ|e1[23|g2|g3|e4+16(|g2|e3|g4+|e2|g3|g4)].
|ψ1=α|g1[23|g2|g3|e4+16(|g2|e3|g4+|e2|g3|g4)]+eiϕβ|e1[23|e2|e3|g4+16(|e2|g3|e4+|g2|e3|e4)].
|ψ2={12α[23|g2|g3|e4+16(|g2|e3|g4+|e2|g3|g4)]+12βeiϕ[23|e2|e3|g4+16(|e2|g3|e4+|g2|e3|e4)]}|g1+{12α[23|g2|g3|e4+16(|g2|e3|g4+|e2|g3|g4)]12βeiϕ[23|e2|e3|g4+16(|e2|g3|e4+|g2|e3|e4)]}|e1.
|ψ3=α[23|g2|g3|e4+16(|g2|e3|g4+|e2|g3|g4)]+βeiϕ[23|e2|e3|g4+16(|e2|g3|e4+|g2|e3|e4)].
|ψ4=α[23|g2|g3|e4+16(|g2|e3|g4+|e2|g3|g4)]βeiϕ[23|e2|e3|g4+16(|e2|g3|e4+|g2|e3|e4)],
|ψSUQC=α[23|g2|g3|g4+16(|g2|e3+|e2|g3)|e4]+βeiϕ[23|e2|e3|e4+16(|e2|g3+|g2|e3)|g4].
|ψ234=12eiφ|g2|g3|e4+12(|g2|e3|g4+|e2|g3|g4),
|ψPCCM=12α[|g2|g3|g4+12(|g2|e3+|e2|g3)|e4]+12βeiϕ[|e2|e3|e4+12(|e2|g3+|g2|e3)|g4].
ρj=2,3=12(|gjg|+|eje|)+122(eiϕ|gje|+eiϕ|ejg|).
|ψ234=13eiφ|g2|g3|e4+13(|g2|e3|g4+|e2|g3|g4).

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