Abstract

We propose unified scheme to realize optimal 1→3 symmetric economical phase-covariant cloning (EPCC) and optimal 1→3 symmetric economical real state cloning (SERS) in the context of an ion-trap system. In this approach, the vibrational mode is not used to act as memory and the two cloners work without ancilla, thus it is likely to be much less sensitive to noise and decoherence. By adjusting tunable time parameters, our system can also perform optimal symmetric (asymmetric) universal quantum cloning and optimal symmetric (asymmetric) phase-covariant quantum cloning. Based on the advancement of experimental technique in an ion-trap system, the scheme is feasible and the symmetric economical state-dependent cloning is optimal.

© 2010 Optical Society of America

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    [CrossRef]
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    [CrossRef]
  3. D. Bruss, M. Cinchetti, G. M. D'Ariano, and C. Macchiavello, “Phase-covariant quantum cloning,” Phys. Rev. A 62, 012302 (2000).
    [CrossRef]
  4. 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]
  5. W. H. Zhang and L. Ye, “Optimal asymmetric phase-covariant and real state cloning in d dimensions,” New J. Phys. 9, 318 (2007).
    [CrossRef]
  6. C. S. Niu and R. B. Griffiths, “Two-qubit copying machine for economical quantum eavesdropping,” Phys. Rev. A 60, 2764-2776 (1999).
    [CrossRef]
  7. F. Buscemi, G. M. D'Ariano, and Chiara Macchiavello, “Economical phase-covariant cloning of qudits,” Phys. Rev. A 71, 042327 (2005).
    [CrossRef]
  8. T. Durt, J. Fiurášek, and N. J. Cerf, “Economical quantum cloning in any dimension,” Phys. Rev. A 72, 052322 (2005).
    [CrossRef]
  9. T. Durt and J. Du, “Characterization of low-cost one-to-two qubit cloning,” Phys. Rev. A 69, 062316 (2004).
    [CrossRef]
  10. X. B. Zou, Y. L. Dong, and G. C. Guo, “Scheme for realization ancilla-free 1-->∞ economical phase-covariant quantum cloning of qubit and qutrits,” Phys. Lett. A 360, 44-48 (2006).
    [CrossRef]
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    [CrossRef]
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    [CrossRef]
  14. 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]
  15. M. Sabuncu, U. L. Andersen, and G. Leuchs, “Experimental demonstration of continuous variable cloning with phase-conjugate inputs,” Phys. Rev. Lett. 98, 170503 (2007).
    [CrossRef]
  16. M. Sabuncu, G. Leuchs, and U. L. Andersen, “Experimental continuous-variable cloning of partial quantum information,” Phys. Rev. A 78, 052312 (2008).
    [CrossRef]
  17. J. S. Xu, C. F. Li, L. Chen, X. B. Zou and G. C. Guo, “Experimental realization of the optimal universal and phase-covariant quantum cloning machines,” Phys. Rev. A 78, 032322 (2008).
    [CrossRef]
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    [CrossRef]
  25. L. Deslauriers, S. Olmschenk, D. Stick, W. K. Hensinger, J. Sterk, and C. Monroe, “Scaling and suppression of anomalous heating in ion traps,” Phys. Rev. Lett. 97, 103007 (2006).
    [CrossRef]
  26. J. Labaziewicz, Y. Ge, P. Antohi, D. Leibrandt, K. R. Brown, and I. L. Chuang, “Suppression of heating rates in cryogenic surface-electrode ion traps,” Phys. Rev. Lett. 100, 013001 (2008).
    [CrossRef]
  27. R. Dubessy, T. Coudreau, and L. Guidoni, “Electric field noise above surfaces: A model for heating-rate scaling law in ion traps,” Phys. Rev. A 80, 031402(R) (2009).
    [CrossRef]
  28. R. Blatt and D. Wineland, “Entangled states of trapped atomic ions,” Nature 453, 1008-1015 (2008).
    [CrossRef]
  29. L.-M. Duan, M. J. Madsen, D. L. Moehring, P. Maunz, R. N. Kohn, Jr., and C. Monroe, “Probabilistic quantum gates between remote atoms through interference of optical frequency qubits,” Phys. Rev. A 73, 062324 (2006).
    [CrossRef]
  30. D. B. Hume, C. W. Chou, T. Rosenband, and D. J. Wineland, “Preparation of Dicke states in an ion chain,” Phys. Rev. A 80, 052302 (2009).
    [CrossRef]
  31. V. Bužek, V. Vedral, M. Plenio, P. Knight, and M. Hillery, “Broadcasting of entanglement via local copying,” Phys. Rev. A 55, 3327-3332 (1997).
    [CrossRef]
  32. J. Bae and A. Acín, “Asymptotic quantum cloning is state estimation,” Phys. Rev. Lett. 97, 030402 (2006).
    [CrossRef]
  33. 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]
  34. N. Gisin, G. Ribordy, W. Tittel, and H. Zbinden, “Quantum cryptography,” Rev. Mod. Phys. 74, 145-149 (2002).
    [CrossRef]
  35. H. Fan, K. Matsumoto, X. B. Wang, and M. Wadati, “Quantum cloning machines for equatorial qubits,” Phys. Rev. A 65, 012304 (2001).
    [CrossRef]
  36. S. B. Zheng, “Splitting quantum information via W states,” Phys. Rev. A 74, 054303 (2006).
    [CrossRef]
  37. S. B. Zheng, “Generation of entangled states for many multilevel atoms in a thermal cavity and ions in thermal motion,” Phys. Rev. A 68, 035801 (2003).
    [CrossRef]
  38. A. Sørensen and K. Mølmer, “Quantum computation with ions in thermal motion,” Phys. Rev. Lett. 82, 1971-1974 (1999).
    [CrossRef]
  39. M. Riebe, H. Haffner, C. F. Roos, W. Hansel, J. Benhelm, G. P. T. Lancaster, T. W. Korber, C. Becher, F. Schmidt-kaler, and D. F. V. James, “Deterministic quantum teleportation with atoms,” Nature 429, 734-737 (2004).
    [CrossRef]
  40. 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]
  41. C. A. Sackett, D. Kielpinski, B. E. King, C. Langer, V. Meyer, C. J. Myatt, M. Rowe, Q. A. Turchette, W. M. Itano, and D. J. Wineland, “Experimental entanglement of four particles,” Nature 404, 256-259 (2000).
    [CrossRef]
  42. C. Ospelkaus, C. E. Langer, J. M. Amini, K. R. Brown, D. Leibfried, and D. J. Wineland, “Trapped-ion quantum logic gates based on oscillating magnetic fields,” Phys. Rev. Lett. 101, 090502 (2008).
    [CrossRef]

2009 (3)

A. T. Grier, M. Cetina, F. Orucevic, and V. Vuletic, “Observation of cold collisions between trapped ions and trapped atoms,” Phys. Rev. Lett. 102, 223201 (2009).
[CrossRef]

R. Dubessy, T. Coudreau, and L. Guidoni, “Electric field noise above surfaces: A model for heating-rate scaling law in ion traps,” Phys. Rev. A 80, 031402(R) (2009).
[CrossRef]

D. B. Hume, C. W. Chou, T. Rosenband, and D. J. Wineland, “Preparation of Dicke states in an ion chain,” Phys. Rev. A 80, 052302 (2009).
[CrossRef]

2008 (7)

R. Blatt and D. Wineland, “Entangled states of trapped atomic ions,” Nature 453, 1008-1015 (2008).
[CrossRef]

J. Labaziewicz, Y. Ge, P. Antohi, D. Leibrandt, K. R. Brown, and I. L. Chuang, “Suppression of heating rates in cryogenic surface-electrode ion traps,” Phys. Rev. Lett. 100, 013001 (2008).
[CrossRef]

X. L. Deng, D. Porras, and J. I. Cirac, “Quantum phases of interacting phonons in ion traps,” Phys. Rev. A 77, 033403 (2008).
[CrossRef]

D. Wang, T. Hansson, A. Larson, H. O. Karlsson, and J. Larson, “Quantum interference structures in trapped-ion dynamics beyond the Lamb-Dicke and rotating wave approximations,” Phys. Rev. A 77, 053808 (2008).
[CrossRef]

M. Sabuncu, G. Leuchs, and U. L. Andersen, “Experimental continuous-variable cloning of partial quantum information,” Phys. Rev. A 78, 052312 (2008).
[CrossRef]

J. S. Xu, C. F. Li, L. Chen, X. B. Zou and G. C. Guo, “Experimental realization of the optimal universal and phase-covariant quantum cloning machines,” Phys. Rev. A 78, 032322 (2008).
[CrossRef]

C. Ospelkaus, C. E. Langer, J. M. Amini, K. R. Brown, D. Leibfried, and D. J. Wineland, “Trapped-ion quantum logic gates based on oscillating magnetic fields,” Phys. Rev. Lett. 101, 090502 (2008).
[CrossRef]

2007 (5)

I. Lizuain and G. Muga, “Vibronic Rabi resonances in harmonic and hard-wall ion traps for arbitrary laser intensity and detuning,” Phys. Rev. A 75, 033613 (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]

M. Sabuncu, U. L. Andersen, and G. Leuchs, “Experimental demonstration of continuous variable cloning with phase-conjugate inputs,” Phys. Rev. Lett. 98, 170503 (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 and L. Ye, “Optimal asymmetric phase-covariant and real state cloning in d dimensions,” New J. Phys. 9, 318 (2007).
[CrossRef]

2006 (7)

X. B. Zou, Y. L. Dong, and G. C. Guo, “Scheme for realization ancilla-free 1-->∞ economical phase-covariant quantum cloning of qubit and qutrits,” Phys. Lett. A 360, 44-48 (2006).
[CrossRef]

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

D. K. L. Oi, S. J. Dwvitt, and L. C. L. Hollenberg, “Scalable error correction in distributed ion trap computers,” Phys. Rev. A 74, 052313 (2006).
[CrossRef]

L. Deslauriers, S. Olmschenk, D. Stick, W. K. Hensinger, J. Sterk, and C. Monroe, “Scaling and suppression of anomalous heating in ion traps,” Phys. Rev. Lett. 97, 103007 (2006).
[CrossRef]

L.-M. Duan, M. J. Madsen, D. L. Moehring, P. Maunz, R. N. Kohn, Jr., and C. Monroe, “Probabilistic quantum gates between remote atoms through interference of optical frequency qubits,” Phys. Rev. A 73, 062324 (2006).
[CrossRef]

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

J. Bae and A. Acín, “Asymptotic quantum cloning is state estimation,” Phys. Rev. Lett. 97, 030402 (2006).
[CrossRef]

2005 (6)

D. Leibfried, E. Knill, S. Seidelin, J. Britton, R. B. Blakestad, J. Chiaverini, D. B. Hume, W. M. Itano, J. D. Jost, and C. Langer, “Creation of a six-atom 'Schrödinger cat' state,” Nature 438, 639-642 (2005).
[CrossRef]

H. Haffner, W. Hansel, C. F. Roos, J. Benhelm, D. Chek-al-kar, M. Chwalla, T. Korber, U. D. Rapol, M. Riebe, and P. O. Schmidt, “Scalable multiparticle entanglement of trapped ions,” Nature 438, 643-646 (2005).
[CrossRef]

J. F. Du, T. Durt, P. Zou, H. L, and A. Ekert, “Experimental quantum cloning with prior partial information,” Phys. Rev. Lett. 95, 030502 (2005).
[CrossRef]

S. B. Zheng and G. C. Guo, “Entangling and cloning machine with increasing robustness against decoherence as the number of qubits increases,” Phys. Rev. A 72, 064303 (2005).
[CrossRef]

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

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

2004 (2)

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

M. Riebe, H. Haffner, C. F. Roos, W. Hansel, J. Benhelm, G. P. T. Lancaster, T. W. Korber, C. Becher, F. Schmidt-kaler, and D. F. V. James, “Deterministic quantum teleportation with atoms,” Nature 429, 734-737 (2004).
[CrossRef]

2003 (2)

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]

S. B. Zheng, “Generation of entangled states for many multilevel atoms in a thermal cavity and ions in thermal motion,” Phys. Rev. A 68, 035801 (2003).
[CrossRef]

2002 (1)

N. Gisin, G. Ribordy, W. Tittel, and H. Zbinden, “Quantum cryptography,” Rev. Mod. Phys. 74, 145-149 (2002).
[CrossRef]

2001 (1)

H. Fan, K. Matsumoto, X. B. Wang, and M. Wadati, “Quantum cloning machines for equatorial qubits,” Phys. Rev. A 65, 012304 (2001).
[CrossRef]

2000 (2)

D. Bruss, M. Cinchetti, G. M. D'Ariano, and C. Macchiavello, “Phase-covariant quantum cloning,” Phys. Rev. A 62, 012302 (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, and D. J. Wineland, “Experimental entanglement of four particles,” Nature 404, 256-259 (2000).
[CrossRef]

1999 (2)

C. S. Niu and R. B. Griffiths, “Two-qubit copying machine for economical quantum eavesdropping,” Phys. Rev. A 60, 2764-2776 (1999).
[CrossRef]

A. Sørensen and K. Mølmer, “Quantum computation with ions in thermal motion,” Phys. Rev. Lett. 82, 1971-1974 (1999).
[CrossRef]

1997 (1)

V. Bužek, V. Vedral, M. Plenio, P. Knight, and M. Hillery, “Broadcasting of entanglement via local copying,” Phys. Rev. A 55, 3327-3332 (1997).
[CrossRef]

1996 (2)

V. Bužek and M. Hillery, “Quantum copying: Beyond the no-cloning 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]

Acín, A.

J. Bae and A. Acín, “Asymptotic quantum cloning is state estimation,” Phys. Rev. Lett. 97, 030402 (2006).
[CrossRef]

Amini, J. M.

C. Ospelkaus, C. E. Langer, J. M. Amini, K. R. Brown, D. Leibfried, and D. J. Wineland, “Trapped-ion quantum logic gates based on oscillating magnetic fields,” Phys. Rev. Lett. 101, 090502 (2008).
[CrossRef]

Andersen, U. L.

M. Sabuncu, G. Leuchs, and U. L. Andersen, “Experimental continuous-variable cloning of partial quantum information,” Phys. Rev. A 78, 052312 (2008).
[CrossRef]

M. Sabuncu, U. L. Andersen, and G. Leuchs, “Experimental demonstration of continuous variable cloning with phase-conjugate inputs,” Phys. Rev. Lett. 98, 170503 (2007).
[CrossRef]

Antohi, P.

J. Labaziewicz, Y. Ge, P. Antohi, D. Leibrandt, K. R. Brown, and I. L. Chuang, “Suppression of heating rates in cryogenic surface-electrode ion traps,” Phys. Rev. Lett. 100, 013001 (2008).
[CrossRef]

Bae, J.

J. Bae and A. Acín, “Asymptotic quantum cloning is state estimation,” Phys. Rev. Lett. 97, 030402 (2006).
[CrossRef]

Becher, C.

M. Riebe, H. Haffner, C. F. Roos, W. Hansel, J. Benhelm, G. P. T. Lancaster, T. W. Korber, C. Becher, F. Schmidt-kaler, and D. F. V. James, “Deterministic quantum teleportation with atoms,” Nature 429, 734-737 (2004).
[CrossRef]

Benhelm, J.

H. Haffner, W. Hansel, C. F. Roos, J. Benhelm, D. Chek-al-kar, M. Chwalla, T. Korber, U. D. Rapol, M. Riebe, and P. O. Schmidt, “Scalable multiparticle entanglement of trapped ions,” Nature 438, 643-646 (2005).
[CrossRef]

M. Riebe, H. Haffner, C. F. Roos, W. Hansel, J. Benhelm, G. P. T. Lancaster, T. W. Korber, C. Becher, F. Schmidt-kaler, and D. F. V. James, “Deterministic quantum teleportation with atoms,” Nature 429, 734-737 (2004).
[CrossRef]

Blakestad, R. B.

D. Leibfried, E. Knill, S. Seidelin, J. Britton, R. B. Blakestad, J. Chiaverini, D. B. Hume, W. M. Itano, J. D. Jost, and C. Langer, “Creation of a six-atom 'Schrödinger cat' state,” Nature 438, 639-642 (2005).
[CrossRef]

Blatt, R.

R. Blatt and D. Wineland, “Entangled states of trapped atomic ions,” Nature 453, 1008-1015 (2008).
[CrossRef]

Britton, J.

D. Leibfried, E. Knill, S. Seidelin, J. Britton, R. B. Blakestad, J. Chiaverini, D. B. Hume, W. M. Itano, J. D. Jost, and C. Langer, “Creation of a six-atom 'Schrödinger cat' state,” Nature 438, 639-642 (2005).
[CrossRef]

Brown, K. R.

J. Labaziewicz, Y. Ge, P. Antohi, D. Leibrandt, K. R. Brown, and I. L. Chuang, “Suppression of heating rates in cryogenic surface-electrode ion traps,” Phys. Rev. Lett. 100, 013001 (2008).
[CrossRef]

C. Ospelkaus, C. E. Langer, J. M. Amini, K. R. Brown, D. Leibfried, and D. J. Wineland, “Trapped-ion quantum logic gates based on oscillating magnetic fields,” Phys. Rev. Lett. 101, 090502 (2008).
[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]

Buscemi, F.

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

Bužek, V.

V. Bužek, V. Vedral, M. Plenio, P. Knight, and M. Hillery, “Broadcasting of entanglement via local copying,” Phys. Rev. A 55, 3327-3332 (1997).
[CrossRef]

V. Bužek and M. Hillery, “Quantum copying: Beyond the no-cloning theorem,” Phys. Rev. A 54, 1844-1852 (1996).
[CrossRef]

Cerf, N. J.

T. Durt, J. Fiurášek, 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]

Cetina, M.

A. T. Grier, M. Cetina, F. Orucevic, and V. Vuletic, “Observation of cold collisions between trapped ions and trapped atoms,” Phys. Rev. Lett. 102, 223201 (2009).
[CrossRef]

Chek-al-kar, D.

H. Haffner, W. Hansel, C. F. Roos, J. Benhelm, D. Chek-al-kar, M. Chwalla, T. Korber, U. D. Rapol, M. Riebe, and P. O. Schmidt, “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]

Chen, L.

J. S. Xu, C. F. Li, L. Chen, X. B. Zou and G. C. Guo, “Experimental realization of the optimal universal and phase-covariant quantum cloning machines,” Phys. Rev. A 78, 032322 (2008).
[CrossRef]

Chiaverini, J.

D. Leibfried, E. Knill, S. Seidelin, J. Britton, R. B. Blakestad, J. Chiaverini, D. B. Hume, W. M. Itano, J. D. Jost, and C. Langer, “Creation of a six-atom 'Schrödinger cat' state,” Nature 438, 639-642 (2005).
[CrossRef]

Chou, C. W.

D. B. Hume, C. W. Chou, T. Rosenband, and D. J. Wineland, “Preparation of Dicke states in an ion chain,” Phys. Rev. A 80, 052302 (2009).
[CrossRef]

Chuang, I. L.

J. Labaziewicz, Y. Ge, P. Antohi, D. Leibrandt, K. R. Brown, and I. L. Chuang, “Suppression of heating rates in cryogenic surface-electrode ion traps,” Phys. Rev. Lett. 100, 013001 (2008).
[CrossRef]

Chwalla, M.

H. Haffner, W. Hansel, C. F. Roos, J. Benhelm, D. Chek-al-kar, M. Chwalla, T. Korber, U. D. Rapol, M. Riebe, and P. O. Schmidt, “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.

X. L. Deng, D. Porras, and J. I. Cirac, “Quantum phases of interacting phonons in ion traps,” Phys. Rev. A 77, 033403 (2008).
[CrossRef]

Coudreau, T.

R. Dubessy, T. Coudreau, and L. Guidoni, “Electric field noise above surfaces: A model for heating-rate scaling law in ion traps,” Phys. Rev. A 80, 031402(R) (2009).
[CrossRef]

Dai, J. L.

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]

D'Ariano, G. M.

F. Buscemi, G. M. D'Ariano, and Chiara 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]

Deng, X. L.

X. L. Deng, D. Porras, and J. I. Cirac, “Quantum phases of interacting phonons in ion traps,” Phys. Rev. A 77, 033403 (2008).
[CrossRef]

Deslauriers, L.

L. Deslauriers, S. Olmschenk, D. Stick, W. K. Hensinger, J. Sterk, and C. Monroe, “Scaling and suppression of anomalous heating in ion traps,” Phys. Rev. Lett. 97, 103007 (2006).
[CrossRef]

Dong, Y. L.

X. B. Zou, Y. L. Dong, and G. C. Guo, “Scheme for realization ancilla-free 1-->∞ economical phase-covariant quantum cloning of qubit and qutrits,” Phys. Lett. A 360, 44-48 (2006).
[CrossRef]

Du, J.

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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).
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J. F. Du, T. Durt, P. Zou, H. L, and A. Ekert, “Experimental quantum cloning with prior partial information,” Phys. Rev. Lett. 95, 030502 (2005).
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Duan, L.-M.

L.-M. Duan, M. J. Madsen, D. L. Moehring, P. Maunz, R. N. Kohn, Jr., and C. Monroe, “Probabilistic quantum gates between remote atoms through interference of optical frequency qubits,” Phys. Rev. A 73, 062324 (2006).
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R. Dubessy, T. Coudreau, and L. Guidoni, “Electric field noise above surfaces: A model for heating-rate scaling law in ion traps,” Phys. Rev. A 80, 031402(R) (2009).
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T. Durt, J. Fiurášek, and N. J. Cerf, “Economical quantum cloning in any dimension,” Phys. Rev. A 72, 052322 (2005).
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J. F. Du, T. Durt, P. Zou, H. L, and A. Ekert, “Experimental quantum cloning with prior partial information,” Phys. Rev. Lett. 95, 030502 (2005).
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T. Durt and J. Du, “Characterization of low-cost one-to-two qubit cloning,” Phys. Rev. A 69, 062316 (2004).
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D. K. L. Oi, S. J. Dwvitt, and L. C. L. Hollenberg, “Scalable error correction in distributed ion trap computers,” Phys. Rev. A 74, 052313 (2006).
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J. F. Du, T. Durt, P. Zou, H. L, and A. Ekert, “Experimental quantum cloning with prior partial information,” Phys. Rev. Lett. 95, 030502 (2005).
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H. Fan, K. Matsumoto, X. B. Wang, and M. Wadati, “Quantum cloning machines for equatorial qubits,” Phys. Rev. A 65, 012304 (2001).
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T. Durt, J. Fiurášek, and N. J. Cerf, “Economical quantum cloning in any dimension,” Phys. Rev. A 72, 052322 (2005).
[CrossRef]

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J. Labaziewicz, Y. Ge, P. Antohi, D. Leibrandt, K. R. Brown, and I. L. Chuang, “Suppression of heating rates in cryogenic surface-electrode ion traps,” Phys. Rev. Lett. 100, 013001 (2008).
[CrossRef]

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N. Gisin, G. Ribordy, W. Tittel, and H. Zbinden, “Quantum cryptography,” Rev. Mod. Phys. 74, 145-149 (2002).
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A. T. Grier, M. Cetina, F. Orucevic, and V. Vuletic, “Observation of cold collisions between trapped ions and trapped atoms,” Phys. Rev. Lett. 102, 223201 (2009).
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C. S. Niu and R. B. Griffiths, “Two-qubit copying machine for economical quantum eavesdropping,” Phys. Rev. A 60, 2764-2776 (1999).
[CrossRef]

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R. Dubessy, T. Coudreau, and L. Guidoni, “Electric field noise above surfaces: A model for heating-rate scaling law in ion traps,” Phys. Rev. A 80, 031402(R) (2009).
[CrossRef]

Guo, G. C.

J. S. Xu, C. F. Li, L. Chen, X. B. Zou and G. C. Guo, “Experimental realization of the optimal universal and phase-covariant quantum cloning machines,” Phys. Rev. A 78, 032322 (2008).
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X. B. Zou, Y. L. Dong, and G. C. Guo, “Scheme for realization ancilla-free 1-->∞ economical phase-covariant quantum cloning of qubit and qutrits,” Phys. Lett. A 360, 44-48 (2006).
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S. B. Zheng and G. C. Guo, “Entangling and cloning machine with increasing robustness against decoherence as the number of qubits increases,” Phys. Rev. A 72, 064303 (2005).
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H. Haffner, W. Hansel, C. F. Roos, J. Benhelm, D. Chek-al-kar, M. Chwalla, T. Korber, U. D. Rapol, M. Riebe, and P. O. Schmidt, “Scalable multiparticle entanglement of trapped ions,” Nature 438, 643-646 (2005).
[CrossRef]

M. Riebe, H. Haffner, C. F. Roos, W. Hansel, J. Benhelm, G. P. T. Lancaster, T. W. Korber, C. Becher, F. Schmidt-kaler, and D. F. V. James, “Deterministic quantum teleportation with atoms,” Nature 429, 734-737 (2004).
[CrossRef]

Hansel, W.

H. Haffner, W. Hansel, C. F. Roos, J. Benhelm, D. Chek-al-kar, M. Chwalla, T. Korber, U. D. Rapol, M. Riebe, and P. O. Schmidt, “Scalable multiparticle entanglement of trapped ions,” Nature 438, 643-646 (2005).
[CrossRef]

M. Riebe, H. Haffner, C. F. Roos, W. Hansel, J. Benhelm, G. P. T. Lancaster, T. W. Korber, C. Becher, F. Schmidt-kaler, and D. F. V. James, “Deterministic quantum teleportation with atoms,” Nature 429, 734-737 (2004).
[CrossRef]

Hansson, T.

D. Wang, T. Hansson, A. Larson, H. O. Karlsson, and J. Larson, “Quantum interference structures in trapped-ion dynamics beyond the Lamb-Dicke and rotating wave approximations,” Phys. Rev. A 77, 053808 (2008).
[CrossRef]

Hensinger, W. K.

L. Deslauriers, S. Olmschenk, D. Stick, W. K. Hensinger, J. Sterk, and C. Monroe, “Scaling and suppression of anomalous heating in ion traps,” Phys. Rev. Lett. 97, 103007 (2006).
[CrossRef]

Hillery, M.

V. Bužek, V. Vedral, M. Plenio, P. Knight, and M. Hillery, “Broadcasting of entanglement via local copying,” Phys. Rev. A 55, 3327-3332 (1997).
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V. Bužek and M. Hillery, “Quantum copying: Beyond the no-cloning theorem,” Phys. Rev. A 54, 1844-1852 (1996).
[CrossRef]

Hollenberg, L. C. L.

D. K. L. Oi, S. J. Dwvitt, and L. C. L. Hollenberg, “Scalable error correction in distributed ion trap computers,” Phys. Rev. A 74, 052313 (2006).
[CrossRef]

Hume, D. B.

D. B. Hume, C. W. Chou, T. Rosenband, and D. J. Wineland, “Preparation of Dicke states in an ion chain,” Phys. Rev. A 80, 052302 (2009).
[CrossRef]

D. Leibfried, E. Knill, S. Seidelin, J. Britton, R. B. Blakestad, J. Chiaverini, D. B. Hume, W. M. Itano, J. D. Jost, and C. Langer, “Creation of a six-atom 'Schrödinger cat' state,” Nature 438, 639-642 (2005).
[CrossRef]

Itano, W. M.

D. Leibfried, E. Knill, S. Seidelin, J. Britton, R. B. Blakestad, J. Chiaverini, D. B. Hume, W. M. Itano, J. D. Jost, and C. Langer, “Creation of a six-atom 'Schrödinger cat' state,” Nature 438, 639-642 (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, and D. J. Wineland, “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]

James, D. F. V.

M. Riebe, H. Haffner, C. F. Roos, W. Hansel, J. Benhelm, G. P. T. Lancaster, T. W. Korber, C. Becher, F. Schmidt-kaler, and D. F. V. James, “Deterministic quantum teleportation with atoms,” Nature 429, 734-737 (2004).
[CrossRef]

Jost, J. D.

D. Leibfried, E. Knill, S. Seidelin, J. Britton, R. B. Blakestad, J. Chiaverini, D. B. Hume, W. M. Itano, J. D. Jost, and C. Langer, “Creation of a six-atom 'Schrödinger cat' state,” Nature 438, 639-642 (2005).
[CrossRef]

Karlsson, H. O.

D. Wang, T. Hansson, A. Larson, H. O. Karlsson, and J. Larson, “Quantum interference structures in trapped-ion dynamics beyond the Lamb-Dicke and rotating wave approximations,” Phys. Rev. A 77, 053808 (2008).
[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, and D. J. Wineland, “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, and D. J. Wineland, “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]

Knight, P.

V. Bužek, V. Vedral, M. Plenio, P. Knight, and M. Hillery, “Broadcasting of entanglement via local copying,” Phys. Rev. A 55, 3327-3332 (1997).
[CrossRef]

Knill, E.

D. Leibfried, E. Knill, S. Seidelin, J. Britton, R. B. Blakestad, J. Chiaverini, D. B. Hume, W. M. Itano, J. D. Jost, and C. Langer, “Creation of a six-atom 'Schrödinger cat' state,” Nature 438, 639-642 (2005).
[CrossRef]

Kohn, R. N.

L.-M. Duan, M. J. Madsen, D. L. Moehring, P. Maunz, R. N. Kohn, Jr., and C. Monroe, “Probabilistic quantum gates between remote atoms through interference of optical frequency qubits,” Phys. Rev. A 73, 062324 (2006).
[CrossRef]

Korber, T.

H. Haffner, W. Hansel, C. F. Roos, J. Benhelm, D. Chek-al-kar, M. Chwalla, T. Korber, U. D. Rapol, M. Riebe, and P. O. Schmidt, “Scalable multiparticle entanglement of trapped ions,” Nature 438, 643-646 (2005).
[CrossRef]

Korber, T. W.

M. Riebe, H. Haffner, C. F. Roos, W. Hansel, J. Benhelm, G. P. T. Lancaster, T. W. Korber, C. Becher, F. Schmidt-kaler, and D. F. V. James, “Deterministic quantum teleportation with atoms,” Nature 429, 734-737 (2004).
[CrossRef]

L, H.

J. F. Du, T. Durt, P. Zou, H. L, and A. Ekert, “Experimental quantum cloning with prior partial information,” Phys. Rev. Lett. 95, 030502 (2005).
[CrossRef]

Labaziewicz, J.

J. Labaziewicz, Y. Ge, P. Antohi, D. Leibrandt, K. R. Brown, and I. L. Chuang, “Suppression of heating rates in cryogenic surface-electrode ion traps,” Phys. Rev. Lett. 100, 013001 (2008).
[CrossRef]

Lancaster, G. P. T.

M. Riebe, H. Haffner, C. F. Roos, W. Hansel, J. Benhelm, G. P. T. Lancaster, T. W. Korber, C. Becher, F. Schmidt-kaler, and D. F. V. James, “Deterministic quantum teleportation with atoms,” Nature 429, 734-737 (2004).
[CrossRef]

Langer, C.

D. Leibfried, E. Knill, S. Seidelin, J. Britton, R. B. Blakestad, J. Chiaverini, D. B. Hume, W. M. Itano, J. D. Jost, and C. Langer, “Creation of a six-atom 'Schrödinger cat' state,” Nature 438, 639-642 (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, and D. J. Wineland, “Experimental entanglement of four particles,” Nature 404, 256-259 (2000).
[CrossRef]

Langer, C. E.

C. Ospelkaus, C. E. Langer, J. M. Amini, K. R. Brown, D. Leibfried, and D. J. Wineland, “Trapped-ion quantum logic gates based on oscillating magnetic fields,” Phys. Rev. Lett. 101, 090502 (2008).
[CrossRef]

Larson, A.

D. Wang, T. Hansson, A. Larson, H. O. Karlsson, and J. Larson, “Quantum interference structures in trapped-ion dynamics beyond the Lamb-Dicke and rotating wave approximations,” Phys. Rev. A 77, 053808 (2008).
[CrossRef]

Larson, J.

D. Wang, T. Hansson, A. Larson, H. O. Karlsson, and J. Larson, “Quantum interference structures in trapped-ion dynamics beyond the Lamb-Dicke and rotating wave approximations,” Phys. Rev. A 77, 053808 (2008).
[CrossRef]

Leibfried, D.

C. Ospelkaus, C. E. Langer, J. M. Amini, K. R. Brown, D. Leibfried, and D. J. Wineland, “Trapped-ion quantum logic gates based on oscillating magnetic fields,” Phys. Rev. Lett. 101, 090502 (2008).
[CrossRef]

D. Leibfried, E. Knill, S. Seidelin, J. Britton, R. B. Blakestad, J. Chiaverini, D. B. Hume, W. M. Itano, J. D. Jost, and C. Langer, “Creation of a six-atom 'Schrödinger cat' state,” Nature 438, 639-642 (2005).
[CrossRef]

Leibrandt, D.

J. Labaziewicz, Y. Ge, P. Antohi, D. Leibrandt, K. R. Brown, and I. L. Chuang, “Suppression of heating rates in cryogenic surface-electrode ion traps,” Phys. Rev. Lett. 100, 013001 (2008).
[CrossRef]

Leuchs, G.

M. Sabuncu, G. Leuchs, and U. L. Andersen, “Experimental continuous-variable cloning of partial quantum information,” Phys. Rev. A 78, 052312 (2008).
[CrossRef]

M. Sabuncu, U. L. Andersen, and G. Leuchs, “Experimental demonstration of continuous variable cloning with phase-conjugate inputs,” Phys. Rev. Lett. 98, 170503 (2007).
[CrossRef]

Li, C. F.

J. S. Xu, C. F. Li, L. Chen, X. B. Zou and G. C. Guo, “Experimental realization of the optimal universal and phase-covariant quantum cloning machines,” Phys. Rev. A 78, 032322 (2008).
[CrossRef]

Lizuain, I.

I. Lizuain and G. Muga, “Vibronic Rabi resonances in harmonic and hard-wall ion traps for arbitrary laser intensity and detuning,” Phys. Rev. A 75, 033613 (2007).
[CrossRef]

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

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

Madsen, M. J.

L.-M. Duan, M. J. Madsen, D. L. Moehring, P. Maunz, R. N. Kohn, Jr., and C. Monroe, “Probabilistic quantum gates between remote atoms through interference of optical frequency qubits,” Phys. Rev. A 73, 062324 (2006).
[CrossRef]

Matsumoto, K.

H. Fan, K. Matsumoto, X. B. Wang, and M. Wadati, “Quantum cloning machines for equatorial qubits,” Phys. Rev. A 65, 012304 (2001).
[CrossRef]

Maunz, P.

L.-M. Duan, M. J. Madsen, D. L. Moehring, P. Maunz, R. N. Kohn, Jr., and C. Monroe, “Probabilistic quantum gates between remote atoms through interference of optical frequency qubits,” Phys. Rev. A 73, 062324 (2006).
[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, and D. J. Wineland, “Experimental entanglement of four particles,” Nature 404, 256-259 (2000).
[CrossRef]

Moehring, D. L.

L.-M. Duan, M. J. Madsen, D. L. Moehring, P. Maunz, R. N. Kohn, Jr., and C. Monroe, “Probabilistic quantum gates between remote atoms through interference of optical frequency qubits,” Phys. Rev. A 73, 062324 (2006).
[CrossRef]

Mølmer, K.

A. Sørensen and K. Mølmer, “Quantum computation with ions in thermal motion,” Phys. Rev. Lett. 82, 1971-1974 (1999).
[CrossRef]

Monroe, C.

L. Deslauriers, S. Olmschenk, D. Stick, W. K. Hensinger, J. Sterk, and C. Monroe, “Scaling and suppression of anomalous heating in ion traps,” Phys. Rev. Lett. 97, 103007 (2006).
[CrossRef]

L.-M. Duan, M. J. Madsen, D. L. Moehring, P. Maunz, R. N. Kohn, Jr., and C. Monroe, “Probabilistic quantum gates between remote atoms through interference of optical frequency qubits,” Phys. Rev. A 73, 062324 (2006).
[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]

Muga, G.

I. Lizuain and G. Muga, “Vibronic Rabi resonances in harmonic and hard-wall ion traps for arbitrary laser intensity and detuning,” Phys. Rev. A 75, 033613 (2007).
[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, and D. J. Wineland, “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, 2764-2776 (1999).
[CrossRef]

Oi, D. K. L.

D. K. L. Oi, S. J. Dwvitt, and L. C. L. Hollenberg, “Scalable error correction in distributed ion trap computers,” Phys. Rev. A 74, 052313 (2006).
[CrossRef]

Olmschenk, S.

L. Deslauriers, S. Olmschenk, D. Stick, W. K. Hensinger, J. Sterk, and C. Monroe, “Scaling and suppression of anomalous heating in ion traps,” Phys. Rev. Lett. 97, 103007 (2006).
[CrossRef]

Orucevic, F.

A. T. Grier, M. Cetina, F. Orucevic, and V. Vuletic, “Observation of cold collisions between trapped ions and trapped atoms,” Phys. Rev. Lett. 102, 223201 (2009).
[CrossRef]

Ospelkaus, C.

C. Ospelkaus, C. E. Langer, J. M. Amini, K. R. Brown, D. Leibfried, and D. J. Wineland, “Trapped-ion quantum logic gates based on oscillating magnetic fields,” Phys. Rev. Lett. 101, 090502 (2008).
[CrossRef]

Plenio, M.

V. Bužek, V. Vedral, M. Plenio, P. Knight, and M. Hillery, “Broadcasting of entanglement via local copying,” Phys. Rev. A 55, 3327-3332 (1997).
[CrossRef]

Porras, D.

X. L. Deng, D. Porras, and J. I. Cirac, “Quantum phases of interacting phonons in ion traps,” Phys. Rev. A 77, 033403 (2008).
[CrossRef]

Rapol, U. D.

H. Haffner, W. Hansel, C. F. Roos, J. Benhelm, D. Chek-al-kar, M. Chwalla, T. Korber, U. D. Rapol, M. Riebe, and P. O. Schmidt, “Scalable multiparticle entanglement of trapped ions,” Nature 438, 643-646 (2005).
[CrossRef]

Ribordy, G.

N. Gisin, G. Ribordy, W. Tittel, and H. Zbinden, “Quantum cryptography,” Rev. Mod. Phys. 74, 145-149 (2002).
[CrossRef]

Riebe, M.

H. Haffner, W. Hansel, C. F. Roos, J. Benhelm, D. Chek-al-kar, M. Chwalla, T. Korber, U. D. Rapol, M. Riebe, and P. O. Schmidt, “Scalable multiparticle entanglement of trapped ions,” Nature 438, 643-646 (2005).
[CrossRef]

M. Riebe, H. Haffner, C. F. Roos, W. Hansel, J. Benhelm, G. P. T. Lancaster, T. W. Korber, C. Becher, F. Schmidt-kaler, and D. F. V. James, “Deterministic quantum teleportation with atoms,” Nature 429, 734-737 (2004).
[CrossRef]

Roos, C. F.

H. Haffner, W. Hansel, C. F. Roos, J. Benhelm, D. Chek-al-kar, M. Chwalla, T. Korber, U. D. Rapol, M. Riebe, and P. O. Schmidt, “Scalable multiparticle entanglement of trapped ions,” Nature 438, 643-646 (2005).
[CrossRef]

M. Riebe, H. Haffner, C. F. Roos, W. Hansel, J. Benhelm, G. P. T. Lancaster, T. W. Korber, C. Becher, F. Schmidt-kaler, and D. F. V. James, “Deterministic quantum teleportation with atoms,” Nature 429, 734-737 (2004).
[CrossRef]

Rosenband, T.

D. B. Hume, C. W. Chou, T. Rosenband, and D. J. Wineland, “Preparation of Dicke states in an ion chain,” Phys. Rev. A 80, 052302 (2009).
[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, and D. J. Wineland, “Experimental entanglement of four particles,” Nature 404, 256-259 (2000).
[CrossRef]

Sabuncu, M.

M. Sabuncu, G. Leuchs, and U. L. Andersen, “Experimental continuous-variable cloning of partial quantum information,” Phys. Rev. A 78, 052312 (2008).
[CrossRef]

M. Sabuncu, U. L. Andersen, and G. Leuchs, “Experimental demonstration of continuous variable cloning with phase-conjugate inputs,” Phys. Rev. Lett. 98, 170503 (2007).
[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, and D. J. Wineland, “Experimental entanglement of four particles,” Nature 404, 256-259 (2000).
[CrossRef]

Schmidt, P. O.

H. Haffner, W. Hansel, C. F. Roos, J. Benhelm, D. Chek-al-kar, M. Chwalla, T. Korber, U. D. Rapol, M. Riebe, and P. O. Schmidt, “Scalable multiparticle entanglement of trapped ions,” Nature 438, 643-646 (2005).
[CrossRef]

Schmidt-kaler, F.

M. Riebe, H. Haffner, C. F. Roos, W. Hansel, J. Benhelm, G. P. T. Lancaster, T. W. Korber, C. Becher, F. Schmidt-kaler, and D. F. V. James, “Deterministic quantum teleportation with atoms,” Nature 429, 734-737 (2004).
[CrossRef]

Seidelin, S.

D. Leibfried, E. Knill, S. Seidelin, J. Britton, R. B. Blakestad, J. Chiaverini, D. B. Hume, W. M. Itano, J. D. Jost, and C. Langer, “Creation of a six-atom 'Schrödinger cat' state,” Nature 438, 639-642 (2005).
[CrossRef]

Sørensen, A.

A. Sørensen and K. Mølmer, “Quantum computation with ions in thermal motion,” Phys. Rev. Lett. 82, 1971-1974 (1999).
[CrossRef]

Sterk, J.

L. Deslauriers, S. Olmschenk, D. Stick, W. K. Hensinger, J. Sterk, and C. Monroe, “Scaling and suppression of anomalous heating in ion traps,” Phys. Rev. Lett. 97, 103007 (2006).
[CrossRef]

Stick, D.

L. Deslauriers, S. Olmschenk, D. Stick, W. K. Hensinger, J. Sterk, and C. Monroe, “Scaling and suppression of anomalous heating in ion traps,” Phys. Rev. Lett. 97, 103007 (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, 145-149 (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, and D. J. Wineland, “Experimental entanglement of four particles,” Nature 404, 256-259 (2000).
[CrossRef]

Vedral, V.

V. Bužek, V. Vedral, M. Plenio, P. Knight, and M. Hillery, “Broadcasting of entanglement via local copying,” Phys. Rev. A 55, 3327-3332 (1997).
[CrossRef]

Vuletic, V.

A. T. Grier, M. Cetina, F. Orucevic, and V. Vuletic, “Observation of cold collisions between trapped ions and trapped atoms,” Phys. Rev. Lett. 102, 223201 (2009).
[CrossRef]

Wadati, M.

H. Fan, K. Matsumoto, X. B. Wang, and M. Wadati, “Quantum cloning machines for equatorial qubits,” Phys. Rev. A 65, 012304 (2001).
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