Abstract

The need for high-fidelity quantum teleportation arises in a variety of quantum algorithms and protocols. Unfortunately, conventional continuous-variable teleportation schemes rely on Einstein–Podolsky–Rosen states that yield a fidelity that approaches unity only in the limit of an unphysical amount of squeezing. A new method that utilizes an ensemble of single photon entangled states, qubits, to teleport continuous variable (CV) states with fidelity approaching unity with finite resources was recently proposed by Andersen and Ralph [Phys. Rev. Lett. 111, 050504 (2013)]. We extend these ideas to consider the general case of using maximally entangled d-level states, qudits, to teleport a CV state and discuss how the corresponding results are affected. In particular, we find that, by using qudits with dimension greater than two, we can achieve a higher fidelity with comparable resources.

© 2014 Optical Society of America

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  1. C. H. Bennett, G. Brassard, C. Crépeau, R. Jozsa, A. Peres, and W. K. Wootters, “Teleporting an unknown quantum state via dual classical and Einstein–Podolsky–Rosen channels,” Phys. Rev. Lett. 70, 1895–1899 (1993).
    [CrossRef]
  2. M. A. Sols-Prosser, O. Jimnez, L. Neves, and A. Delgado, “Quantum teleportation via quantum channels with non-maximal Schmidt rank,” Phys. Scr. 2013, 014058 (2013).
    [CrossRef]
  3. D. Bouwmeester, J.-W. Pan, K. Mattle, M. Eibl, H. Weinfurter, and A. Zeilinger, “Experimental quantum teleportation,” Nature 390, 575–579 (1997).
    [CrossRef]
  4. D. Boschi, S. Branca, F. De Martini, L. Hardy, and S. Popescu, “Experimental realization of teleporting an unknown pure quantum state via dual classical and Einstein-Podolsky-Rosen channels,” Phys. Rev. Lett 80, 1121–1125 (1998).
    [CrossRef]
  5. R. Blatt and D. Wineland, “Entangled states of trapped atomic ions,” Nature 453, 1008–1015 (2008).
    [CrossRef]
  6. L. Vaidman, “Teleportation of quantum states,” Phys. Rev. A 49, 1473–1476 (1994).
    [CrossRef]
  7. S. Pirandola and S. Mancini, “Quantum teleportation with continuous variables: a survey,” Laser Phys. 16, 1418–1438 (2006).
    [CrossRef]
  8. G. Brassard, S. L. Braunstein, and R. Cleve, “Teleportation as a quantum computation,” Phys. D 120, 43–47 (1998).
    [CrossRef]
  9. S. Ishizaka and T. Hiroshima, “Asymptotic teleportation scheme as a universal programmable quantum processor,” Phys. Rev. Lett. 101, 240501 (2008).
    [CrossRef]
  10. S. Ishizaka and T. Hiroshima, “Quantum teleportation scheme by selecting one of multiple output ports,” Phys. Rev. A 79, 042306 (2009).
    [CrossRef]
  11. S. Clark, B. Coecke, E. Grefenstette, S. Pulman, and M. Sadrzadeh, “A quantum teleportation inspired algorithm produces sentence meaning from word meaning and grammatical structure,” arXiv:1305.0556 (2013).
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    [CrossRef]
  13. M. Yukawa, H. Benichi, and A. Furusawa, “High-fidelity continuous-variable quantum teleportation toward multistep quantum operations,” Phys. Rev. A 77, 022314 (2008).
    [CrossRef]
  14. T. Eberle, V. Händchen, and R. Schnabel, “Stable control of 10  db two-mode squeezed vacuum states of light,” Opt. Express 21, 11546–11553 (2013).
    [CrossRef]
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    [CrossRef]
  16. S. K. Özdemir, A. Miranowicz, M. Koashi, and N. Imoto, “Quantum-scissors device for optical state truncation: a proposal for practical realization,” Phys. Rev. A 64, 063818 (2001).
    [CrossRef]
  17. R. Cleve and J. Watrous, “Fast parallel circuits for the quantum Fourier transform,” in Proceedings 41st Annual Symposium on Foundations of Computer Science (2000), pp. 526–536.
  18. M. Takeoka, M. Sasaki, and N. Lütkenhaus, “Binary projective measurement via linear optics and photon counting,” Phys. Rev. Lett. 97, 040502 (2006).
    [CrossRef]
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  21. L.-M. Duan, G. Giedke, J. I. Cirac, and P. Zoller, “Entanglement purification of Gaussian continuous variable quantum states,” Phys. Rev. Lett. 84, 4002–4005 (2000).
    [CrossRef]
  22. J. Kim, J. Lee, S.-W. Ji, H. Nha, P. M. Anisimov, and J. P. Dowling, “Coherent-state optical qudit cluster state generation and teleportation via homodyne detection,” arXiv:1012.5872 (2010).
  23. S. Strelchuk, M. Horodecki, and J. Oppenheim, “Generalized teleportation and entanglement recycling,” Phys. Rev. Lett. 110, 010505 (2013).
    [CrossRef]
  24. S. Beigi and R. Knig, “Simplified instantaneous non-local quantum computation with applications to position-based cryptography,” New J. Phys. 13, 093036 (2011).
    [CrossRef]
  25. M. Horodecki, P. Horodecki, and R. Horodecki, “General teleportation channel, singlet fraction, and quasidistillation,” Phys. Rev. A 60, 1888–1898 (1999).
    [CrossRef]
  26. L.-M. Duan, G. Giedke, J. I. Cirac, and P. Zoller, “Physical implementation for entanglement purification of Gaussian continuous-variable quantum states,” Phys. Rev. A 62, 032304 (2000).
    [CrossRef]
  27. A. Miranowicz, “Optical-state truncation and teleportation of qudits by conditional eight-port interferometry,” J. Opt. B Quantum Semiclass. Opt. 7, 142–150 (2005).
    [CrossRef]
  28. S. M. Barnett, L. S. Phillips, and D. T. Pegg, “Imperfect photodetection as projection onto mixed states,” Opt. Commun. 158, 45–49 (1998).
    [CrossRef]
  29. G. Alber, A. Delgado, N. Gisin, and I. Jex, “Efficient bipartite quantum state purification in arbitrary dimensional Hilbert spaces,” J. Phys. A 34, 8821–8833 (2001).
    [CrossRef]
  30. S. Takeuchi, J. Kim, Y. Yamamoto, and H. H. Hogue, “Development of a high-quantum-efficiency single-photon counting system,” Appl. Phys. Lett. 74, 1063–1065 (1999).
    [CrossRef]
  31. S. Takeda, T. Mizuta, M. Fuwa, H. Yonezawa, P. van Loock, and A. Furusawa, “Gain tuning for continuous-variable quantum teleportation of discrete-variable states,” Phys. Rev. A 88, 042327 (2013).
    [CrossRef]
  32. S. Takeda, T. Mizuta, M. Fuwa, P. van Loock, and A. Furusawa, “Deterministic quantum teleportation of photonic quantum bits by a hybrid technique,” Nature 500, 315–318 (2013).
    [CrossRef]

2013 (6)

M. A. Sols-Prosser, O. Jimnez, L. Neves, and A. Delgado, “Quantum teleportation via quantum channels with non-maximal Schmidt rank,” Phys. Scr. 2013, 014058 (2013).
[CrossRef]

U. L. Andersen and T. C. Ralph, “High-fidelity teleportation of continuous-variable quantum states using delocalized single photons,” Phys. Rev. Lett. 111, 050504 (2013).
[CrossRef]

S. Strelchuk, M. Horodecki, and J. Oppenheim, “Generalized teleportation and entanglement recycling,” Phys. Rev. Lett. 110, 010505 (2013).
[CrossRef]

S. Takeda, T. Mizuta, M. Fuwa, H. Yonezawa, P. van Loock, and A. Furusawa, “Gain tuning for continuous-variable quantum teleportation of discrete-variable states,” Phys. Rev. A 88, 042327 (2013).
[CrossRef]

S. Takeda, T. Mizuta, M. Fuwa, P. van Loock, and A. Furusawa, “Deterministic quantum teleportation of photonic quantum bits by a hybrid technique,” Nature 500, 315–318 (2013).
[CrossRef]

T. Eberle, V. Händchen, and R. Schnabel, “Stable control of 10  db two-mode squeezed vacuum states of light,” Opt. Express 21, 11546–11553 (2013).
[CrossRef]

2012 (1)

2011 (1)

S. Beigi and R. Knig, “Simplified instantaneous non-local quantum computation with applications to position-based cryptography,” New J. Phys. 13, 093036 (2011).
[CrossRef]

2009 (1)

S. Ishizaka and T. Hiroshima, “Quantum teleportation scheme by selecting one of multiple output ports,” Phys. Rev. A 79, 042306 (2009).
[CrossRef]

2008 (3)

S. Ishizaka and T. Hiroshima, “Asymptotic teleportation scheme as a universal programmable quantum processor,” Phys. Rev. Lett. 101, 240501 (2008).
[CrossRef]

M. Yukawa, H. Benichi, and A. Furusawa, “High-fidelity continuous-variable quantum teleportation toward multistep quantum operations,” Phys. Rev. A 77, 022314 (2008).
[CrossRef]

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

2006 (2)

S. Pirandola and S. Mancini, “Quantum teleportation with continuous variables: a survey,” Laser Phys. 16, 1418–1438 (2006).
[CrossRef]

M. Takeoka, M. Sasaki, and N. Lütkenhaus, “Binary projective measurement via linear optics and photon counting,” Phys. Rev. Lett. 97, 040502 (2006).
[CrossRef]

2005 (1)

A. Miranowicz, “Optical-state truncation and teleportation of qudits by conditional eight-port interferometry,” J. Opt. B Quantum Semiclass. Opt. 7, 142–150 (2005).
[CrossRef]

2003 (1)

S. A. Babichev, J. Ries, and A. I. Lvovsky, “Quantum scissors: teleportation of single-mode optical states by means of a nonlocal single photon,” Europhys. Lett. 64, 1–7 (2003).
[CrossRef]

2001 (2)

S. K. Özdemir, A. Miranowicz, M. Koashi, and N. Imoto, “Quantum-scissors device for optical state truncation: a proposal for practical realization,” Phys. Rev. A 64, 063818 (2001).
[CrossRef]

G. Alber, A. Delgado, N. Gisin, and I. Jex, “Efficient bipartite quantum state purification in arbitrary dimensional Hilbert spaces,” J. Phys. A 34, 8821–8833 (2001).
[CrossRef]

2000 (2)

L.-M. Duan, G. Giedke, J. I. Cirac, and P. Zoller, “Physical implementation for entanglement purification of Gaussian continuous-variable quantum states,” Phys. Rev. A 62, 032304 (2000).
[CrossRef]

L.-M. Duan, G. Giedke, J. I. Cirac, and P. Zoller, “Entanglement purification of Gaussian continuous variable quantum states,” Phys. Rev. Lett. 84, 4002–4005 (2000).
[CrossRef]

1999 (2)

M. Horodecki, P. Horodecki, and R. Horodecki, “General teleportation channel, singlet fraction, and quasidistillation,” Phys. Rev. A 60, 1888–1898 (1999).
[CrossRef]

S. Takeuchi, J. Kim, Y. Yamamoto, and H. H. Hogue, “Development of a high-quantum-efficiency single-photon counting system,” Appl. Phys. Lett. 74, 1063–1065 (1999).
[CrossRef]

1998 (3)

S. M. Barnett, L. S. Phillips, and D. T. Pegg, “Imperfect photodetection as projection onto mixed states,” Opt. Commun. 158, 45–49 (1998).
[CrossRef]

G. Brassard, S. L. Braunstein, and R. Cleve, “Teleportation as a quantum computation,” Phys. D 120, 43–47 (1998).
[CrossRef]

D. Boschi, S. Branca, F. De Martini, L. Hardy, and S. Popescu, “Experimental realization of teleporting an unknown pure quantum state via dual classical and Einstein-Podolsky-Rosen channels,” Phys. Rev. Lett 80, 1121–1125 (1998).
[CrossRef]

1997 (1)

D. Bouwmeester, J.-W. Pan, K. Mattle, M. Eibl, H. Weinfurter, and A. Zeilinger, “Experimental quantum teleportation,” Nature 390, 575–579 (1997).
[CrossRef]

1994 (1)

L. Vaidman, “Teleportation of quantum states,” Phys. Rev. A 49, 1473–1476 (1994).
[CrossRef]

1993 (1)

C. H. Bennett, G. Brassard, C. Crépeau, R. Jozsa, A. Peres, and W. K. Wootters, “Teleporting an unknown quantum state via dual classical and Einstein–Podolsky–Rosen channels,” Phys. Rev. Lett. 70, 1895–1899 (1993).
[CrossRef]

Alber, G.

G. Alber, A. Delgado, N. Gisin, and I. Jex, “Efficient bipartite quantum state purification in arbitrary dimensional Hilbert spaces,” J. Phys. A 34, 8821–8833 (2001).
[CrossRef]

Andersen, U. L.

U. L. Andersen and T. C. Ralph, “High-fidelity teleportation of continuous-variable quantum states using delocalized single photons,” Phys. Rev. Lett. 111, 050504 (2013).
[CrossRef]

Anisimov, P. M.

J. Kim, J. Lee, S.-W. Ji, H. Nha, P. M. Anisimov, and J. P. Dowling, “Coherent-state optical qudit cluster state generation and teleportation via homodyne detection,” arXiv:1012.5872 (2010).

Babichev, S. A.

S. A. Babichev, J. Ries, and A. I. Lvovsky, “Quantum scissors: teleportation of single-mode optical states by means of a nonlocal single photon,” Europhys. Lett. 64, 1–7 (2003).
[CrossRef]

Barnett, S. M.

S. M. Barnett, L. S. Phillips, and D. T. Pegg, “Imperfect photodetection as projection onto mixed states,” Opt. Commun. 158, 45–49 (1998).
[CrossRef]

Beigi, S.

S. Beigi and R. Knig, “Simplified instantaneous non-local quantum computation with applications to position-based cryptography,” New J. Phys. 13, 093036 (2011).
[CrossRef]

Benichi, H.

M. Yukawa, H. Benichi, and A. Furusawa, “High-fidelity continuous-variable quantum teleportation toward multistep quantum operations,” Phys. Rev. A 77, 022314 (2008).
[CrossRef]

Bennett, C. H.

C. H. Bennett, G. Brassard, C. Crépeau, R. Jozsa, A. Peres, and W. K. Wootters, “Teleporting an unknown quantum state via dual classical and Einstein–Podolsky–Rosen channels,” Phys. Rev. Lett. 70, 1895–1899 (1993).
[CrossRef]

Blatt, R.

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

Boschi, D.

D. Boschi, S. Branca, F. De Martini, L. Hardy, and S. Popescu, “Experimental realization of teleporting an unknown pure quantum state via dual classical and Einstein-Podolsky-Rosen channels,” Phys. Rev. Lett 80, 1121–1125 (1998).
[CrossRef]

Bouwmeester, D.

D. Bouwmeester, J.-W. Pan, K. Mattle, M. Eibl, H. Weinfurter, and A. Zeilinger, “Experimental quantum teleportation,” Nature 390, 575–579 (1997).
[CrossRef]

Branca, S.

D. Boschi, S. Branca, F. De Martini, L. Hardy, and S. Popescu, “Experimental realization of teleporting an unknown pure quantum state via dual classical and Einstein-Podolsky-Rosen channels,” Phys. Rev. Lett 80, 1121–1125 (1998).
[CrossRef]

Brassard, G.

G. Brassard, S. L. Braunstein, and R. Cleve, “Teleportation as a quantum computation,” Phys. D 120, 43–47 (1998).
[CrossRef]

C. H. Bennett, G. Brassard, C. Crépeau, R. Jozsa, A. Peres, and W. K. Wootters, “Teleporting an unknown quantum state via dual classical and Einstein–Podolsky–Rosen channels,” Phys. Rev. Lett. 70, 1895–1899 (1993).
[CrossRef]

Braunstein, S. L.

G. Brassard, S. L. Braunstein, and R. Cleve, “Teleportation as a quantum computation,” Phys. D 120, 43–47 (1998).
[CrossRef]

Chuang, I.

M. Nielsen and I. Chuang, Quantum Computation and Quantum Information, Cambridge Series on Information and the Natural Sciences (Cambridge University, 2000).

Cirac, J. I.

L.-M. Duan, G. Giedke, J. I. Cirac, and P. Zoller, “Entanglement purification of Gaussian continuous variable quantum states,” Phys. Rev. Lett. 84, 4002–4005 (2000).
[CrossRef]

L.-M. Duan, G. Giedke, J. I. Cirac, and P. Zoller, “Physical implementation for entanglement purification of Gaussian continuous-variable quantum states,” Phys. Rev. A 62, 032304 (2000).
[CrossRef]

Clark, S.

S. Clark, B. Coecke, E. Grefenstette, S. Pulman, and M. Sadrzadeh, “A quantum teleportation inspired algorithm produces sentence meaning from word meaning and grammatical structure,” arXiv:1305.0556 (2013).

Cleve, R.

G. Brassard, S. L. Braunstein, and R. Cleve, “Teleportation as a quantum computation,” Phys. D 120, 43–47 (1998).
[CrossRef]

R. Cleve and J. Watrous, “Fast parallel circuits for the quantum Fourier transform,” in Proceedings 41st Annual Symposium on Foundations of Computer Science (2000), pp. 526–536.

Coecke, B.

S. Clark, B. Coecke, E. Grefenstette, S. Pulman, and M. Sadrzadeh, “A quantum teleportation inspired algorithm produces sentence meaning from word meaning and grammatical structure,” arXiv:1305.0556 (2013).

Crépeau, C.

C. H. Bennett, G. Brassard, C. Crépeau, R. Jozsa, A. Peres, and W. K. Wootters, “Teleporting an unknown quantum state via dual classical and Einstein–Podolsky–Rosen channels,” Phys. Rev. Lett. 70, 1895–1899 (1993).
[CrossRef]

De Martini, F.

D. Boschi, S. Branca, F. De Martini, L. Hardy, and S. Popescu, “Experimental realization of teleporting an unknown pure quantum state via dual classical and Einstein-Podolsky-Rosen channels,” Phys. Rev. Lett 80, 1121–1125 (1998).
[CrossRef]

Delgado, A.

M. A. Sols-Prosser, O. Jimnez, L. Neves, and A. Delgado, “Quantum teleportation via quantum channels with non-maximal Schmidt rank,” Phys. Scr. 2013, 014058 (2013).
[CrossRef]

G. Alber, A. Delgado, N. Gisin, and I. Jex, “Efficient bipartite quantum state purification in arbitrary dimensional Hilbert spaces,” J. Phys. A 34, 8821–8833 (2001).
[CrossRef]

Dowling, J. P.

J. Kim, J. Lee, S.-W. Ji, H. Nha, P. M. Anisimov, and J. P. Dowling, “Coherent-state optical qudit cluster state generation and teleportation via homodyne detection,” arXiv:1012.5872 (2010).

Duan, L.-M.

L.-M. Duan, G. Giedke, J. I. Cirac, and P. Zoller, “Physical implementation for entanglement purification of Gaussian continuous-variable quantum states,” Phys. Rev. A 62, 032304 (2000).
[CrossRef]

L.-M. Duan, G. Giedke, J. I. Cirac, and P. Zoller, “Entanglement purification of Gaussian continuous variable quantum states,” Phys. Rev. Lett. 84, 4002–4005 (2000).
[CrossRef]

Eberle, T.

Eibl, M.

D. Bouwmeester, J.-W. Pan, K. Mattle, M. Eibl, H. Weinfurter, and A. Zeilinger, “Experimental quantum teleportation,” Nature 390, 575–579 (1997).
[CrossRef]

Furusawa, A.

S. Takeda, T. Mizuta, M. Fuwa, H. Yonezawa, P. van Loock, and A. Furusawa, “Gain tuning for continuous-variable quantum teleportation of discrete-variable states,” Phys. Rev. A 88, 042327 (2013).
[CrossRef]

S. Takeda, T. Mizuta, M. Fuwa, P. van Loock, and A. Furusawa, “Deterministic quantum teleportation of photonic quantum bits by a hybrid technique,” Nature 500, 315–318 (2013).
[CrossRef]

M. Yukawa, H. Benichi, and A. Furusawa, “High-fidelity continuous-variable quantum teleportation toward multistep quantum operations,” Phys. Rev. A 77, 022314 (2008).
[CrossRef]

Fuwa, M.

S. Takeda, T. Mizuta, M. Fuwa, H. Yonezawa, P. van Loock, and A. Furusawa, “Gain tuning for continuous-variable quantum teleportation of discrete-variable states,” Phys. Rev. A 88, 042327 (2013).
[CrossRef]

S. Takeda, T. Mizuta, M. Fuwa, P. van Loock, and A. Furusawa, “Deterministic quantum teleportation of photonic quantum bits by a hybrid technique,” Nature 500, 315–318 (2013).
[CrossRef]

Giedke, G.

L.-M. Duan, G. Giedke, J. I. Cirac, and P. Zoller, “Entanglement purification of Gaussian continuous variable quantum states,” Phys. Rev. Lett. 84, 4002–4005 (2000).
[CrossRef]

L.-M. Duan, G. Giedke, J. I. Cirac, and P. Zoller, “Physical implementation for entanglement purification of Gaussian continuous-variable quantum states,” Phys. Rev. A 62, 032304 (2000).
[CrossRef]

Gisin, N.

G. Alber, A. Delgado, N. Gisin, and I. Jex, “Efficient bipartite quantum state purification in arbitrary dimensional Hilbert spaces,” J. Phys. A 34, 8821–8833 (2001).
[CrossRef]

Grefenstette, E.

S. Clark, B. Coecke, E. Grefenstette, S. Pulman, and M. Sadrzadeh, “A quantum teleportation inspired algorithm produces sentence meaning from word meaning and grammatical structure,” arXiv:1305.0556 (2013).

Händchen, V.

Hardy, L.

D. Boschi, S. Branca, F. De Martini, L. Hardy, and S. Popescu, “Experimental realization of teleporting an unknown pure quantum state via dual classical and Einstein-Podolsky-Rosen channels,” Phys. Rev. Lett 80, 1121–1125 (1998).
[CrossRef]

Hiroshima, T.

S. Ishizaka and T. Hiroshima, “Quantum teleportation scheme by selecting one of multiple output ports,” Phys. Rev. A 79, 042306 (2009).
[CrossRef]

S. Ishizaka and T. Hiroshima, “Asymptotic teleportation scheme as a universal programmable quantum processor,” Phys. Rev. Lett. 101, 240501 (2008).
[CrossRef]

Hogue, H. H.

S. Takeuchi, J. Kim, Y. Yamamoto, and H. H. Hogue, “Development of a high-quantum-efficiency single-photon counting system,” Appl. Phys. Lett. 74, 1063–1065 (1999).
[CrossRef]

Horodecki, M.

S. Strelchuk, M. Horodecki, and J. Oppenheim, “Generalized teleportation and entanglement recycling,” Phys. Rev. Lett. 110, 010505 (2013).
[CrossRef]

M. Horodecki, P. Horodecki, and R. Horodecki, “General teleportation channel, singlet fraction, and quasidistillation,” Phys. Rev. A 60, 1888–1898 (1999).
[CrossRef]

Horodecki, P.

M. Horodecki, P. Horodecki, and R. Horodecki, “General teleportation channel, singlet fraction, and quasidistillation,” Phys. Rev. A 60, 1888–1898 (1999).
[CrossRef]

Horodecki, R.

M. Horodecki, P. Horodecki, and R. Horodecki, “General teleportation channel, singlet fraction, and quasidistillation,” Phys. Rev. A 60, 1888–1898 (1999).
[CrossRef]

Imoto, N.

S. K. Özdemir, A. Miranowicz, M. Koashi, and N. Imoto, “Quantum-scissors device for optical state truncation: a proposal for practical realization,” Phys. Rev. A 64, 063818 (2001).
[CrossRef]

Ishizaka, S.

S. Ishizaka and T. Hiroshima, “Quantum teleportation scheme by selecting one of multiple output ports,” Phys. Rev. A 79, 042306 (2009).
[CrossRef]

S. Ishizaka and T. Hiroshima, “Asymptotic teleportation scheme as a universal programmable quantum processor,” Phys. Rev. Lett. 101, 240501 (2008).
[CrossRef]

Jex, I.

G. Alber, A. Delgado, N. Gisin, and I. Jex, “Efficient bipartite quantum state purification in arbitrary dimensional Hilbert spaces,” J. Phys. A 34, 8821–8833 (2001).
[CrossRef]

Ji, S.-W.

J. Kim, J. Lee, S.-W. Ji, H. Nha, P. M. Anisimov, and J. P. Dowling, “Coherent-state optical qudit cluster state generation and teleportation via homodyne detection,” arXiv:1012.5872 (2010).

Jimnez, O.

M. A. Sols-Prosser, O. Jimnez, L. Neves, and A. Delgado, “Quantum teleportation via quantum channels with non-maximal Schmidt rank,” Phys. Scr. 2013, 014058 (2013).
[CrossRef]

Jozsa, R.

C. H. Bennett, G. Brassard, C. Crépeau, R. Jozsa, A. Peres, and W. K. Wootters, “Teleporting an unknown quantum state via dual classical and Einstein–Podolsky–Rosen channels,” Phys. Rev. Lett. 70, 1895–1899 (1993).
[CrossRef]

Kim, J.

S. Takeuchi, J. Kim, Y. Yamamoto, and H. H. Hogue, “Development of a high-quantum-efficiency single-photon counting system,” Appl. Phys. Lett. 74, 1063–1065 (1999).
[CrossRef]

J. Kim, J. Lee, S.-W. Ji, H. Nha, P. M. Anisimov, and J. P. Dowling, “Coherent-state optical qudit cluster state generation and teleportation via homodyne detection,” arXiv:1012.5872 (2010).

Knig, R.

S. Beigi and R. Knig, “Simplified instantaneous non-local quantum computation with applications to position-based cryptography,” New J. Phys. 13, 093036 (2011).
[CrossRef]

Koashi, M.

S. K. Özdemir, A. Miranowicz, M. Koashi, and N. Imoto, “Quantum-scissors device for optical state truncation: a proposal for practical realization,” Phys. Rev. A 64, 063818 (2001).
[CrossRef]

Lee, J.

J. Kim, J. Lee, S.-W. Ji, H. Nha, P. M. Anisimov, and J. P. Dowling, “Coherent-state optical qudit cluster state generation and teleportation via homodyne detection,” arXiv:1012.5872 (2010).

Lin, Q.

Lütkenhaus, N.

M. Takeoka, M. Sasaki, and N. Lütkenhaus, “Binary projective measurement via linear optics and photon counting,” Phys. Rev. Lett. 97, 040502 (2006).
[CrossRef]

Lvovsky, A. I.

S. A. Babichev, J. Ries, and A. I. Lvovsky, “Quantum scissors: teleportation of single-mode optical states by means of a nonlocal single photon,” Europhys. Lett. 64, 1–7 (2003).
[CrossRef]

Mancini, S.

S. Pirandola and S. Mancini, “Quantum teleportation with continuous variables: a survey,” Laser Phys. 16, 1418–1438 (2006).
[CrossRef]

Mattle, K.

D. Bouwmeester, J.-W. Pan, K. Mattle, M. Eibl, H. Weinfurter, and A. Zeilinger, “Experimental quantum teleportation,” Nature 390, 575–579 (1997).
[CrossRef]

Miranowicz, A.

A. Miranowicz, “Optical-state truncation and teleportation of qudits by conditional eight-port interferometry,” J. Opt. B Quantum Semiclass. Opt. 7, 142–150 (2005).
[CrossRef]

S. K. Özdemir, A. Miranowicz, M. Koashi, and N. Imoto, “Quantum-scissors device for optical state truncation: a proposal for practical realization,” Phys. Rev. A 64, 063818 (2001).
[CrossRef]

Mizuta, T.

S. Takeda, T. Mizuta, M. Fuwa, H. Yonezawa, P. van Loock, and A. Furusawa, “Gain tuning for continuous-variable quantum teleportation of discrete-variable states,” Phys. Rev. A 88, 042327 (2013).
[CrossRef]

S. Takeda, T. Mizuta, M. Fuwa, P. van Loock, and A. Furusawa, “Deterministic quantum teleportation of photonic quantum bits by a hybrid technique,” Nature 500, 315–318 (2013).
[CrossRef]

Neves, L.

M. A. Sols-Prosser, O. Jimnez, L. Neves, and A. Delgado, “Quantum teleportation via quantum channels with non-maximal Schmidt rank,” Phys. Scr. 2013, 014058 (2013).
[CrossRef]

Nha, H.

J. Kim, J. Lee, S.-W. Ji, H. Nha, P. M. Anisimov, and J. P. Dowling, “Coherent-state optical qudit cluster state generation and teleportation via homodyne detection,” arXiv:1012.5872 (2010).

Nielsen, M.

M. Nielsen and I. Chuang, Quantum Computation and Quantum Information, Cambridge Series on Information and the Natural Sciences (Cambridge University, 2000).

Oppenheim, J.

S. Strelchuk, M. Horodecki, and J. Oppenheim, “Generalized teleportation and entanglement recycling,” Phys. Rev. Lett. 110, 010505 (2013).
[CrossRef]

Özdemir, S. K.

S. K. Özdemir, A. Miranowicz, M. Koashi, and N. Imoto, “Quantum-scissors device for optical state truncation: a proposal for practical realization,” Phys. Rev. A 64, 063818 (2001).
[CrossRef]

Pan, J.-W.

D. Bouwmeester, J.-W. Pan, K. Mattle, M. Eibl, H. Weinfurter, and A. Zeilinger, “Experimental quantum teleportation,” Nature 390, 575–579 (1997).
[CrossRef]

Pegg, D. T.

S. M. Barnett, L. S. Phillips, and D. T. Pegg, “Imperfect photodetection as projection onto mixed states,” Opt. Commun. 158, 45–49 (1998).
[CrossRef]

Peres, A.

C. H. Bennett, G. Brassard, C. Crépeau, R. Jozsa, A. Peres, and W. K. Wootters, “Teleporting an unknown quantum state via dual classical and Einstein–Podolsky–Rosen channels,” Phys. Rev. Lett. 70, 1895–1899 (1993).
[CrossRef]

Phillips, L. S.

S. M. Barnett, L. S. Phillips, and D. T. Pegg, “Imperfect photodetection as projection onto mixed states,” Opt. Commun. 158, 45–49 (1998).
[CrossRef]

Pirandola, S.

S. Pirandola and S. Mancini, “Quantum teleportation with continuous variables: a survey,” Laser Phys. 16, 1418–1438 (2006).
[CrossRef]

Popescu, S.

D. Boschi, S. Branca, F. De Martini, L. Hardy, and S. Popescu, “Experimental realization of teleporting an unknown pure quantum state via dual classical and Einstein-Podolsky-Rosen channels,” Phys. Rev. Lett 80, 1121–1125 (1998).
[CrossRef]

Pulman, S.

S. Clark, B. Coecke, E. Grefenstette, S. Pulman, and M. Sadrzadeh, “A quantum teleportation inspired algorithm produces sentence meaning from word meaning and grammatical structure,” arXiv:1305.0556 (2013).

Ralph, T. C.

U. L. Andersen and T. C. Ralph, “High-fidelity teleportation of continuous-variable quantum states using delocalized single photons,” Phys. Rev. Lett. 111, 050504 (2013).
[CrossRef]

Ries, J.

S. A. Babichev, J. Ries, and A. I. Lvovsky, “Quantum scissors: teleportation of single-mode optical states by means of a nonlocal single photon,” Europhys. Lett. 64, 1–7 (2003).
[CrossRef]

Sadrzadeh, M.

S. Clark, B. Coecke, E. Grefenstette, S. Pulman, and M. Sadrzadeh, “A quantum teleportation inspired algorithm produces sentence meaning from word meaning and grammatical structure,” arXiv:1305.0556 (2013).

Sasaki, M.

M. Takeoka, M. Sasaki, and N. Lütkenhaus, “Binary projective measurement via linear optics and photon counting,” Phys. Rev. Lett. 97, 040502 (2006).
[CrossRef]

Schnabel, R.

Sols-Prosser, M. A.

M. A. Sols-Prosser, O. Jimnez, L. Neves, and A. Delgado, “Quantum teleportation via quantum channels with non-maximal Schmidt rank,” Phys. Scr. 2013, 014058 (2013).
[CrossRef]

Strelchuk, S.

S. Strelchuk, M. Horodecki, and J. Oppenheim, “Generalized teleportation and entanglement recycling,” Phys. Rev. Lett. 110, 010505 (2013).
[CrossRef]

Takeda, S.

S. Takeda, T. Mizuta, M. Fuwa, P. van Loock, and A. Furusawa, “Deterministic quantum teleportation of photonic quantum bits by a hybrid technique,” Nature 500, 315–318 (2013).
[CrossRef]

S. Takeda, T. Mizuta, M. Fuwa, H. Yonezawa, P. van Loock, and A. Furusawa, “Gain tuning for continuous-variable quantum teleportation of discrete-variable states,” Phys. Rev. A 88, 042327 (2013).
[CrossRef]

Takeoka, M.

M. Takeoka, M. Sasaki, and N. Lütkenhaus, “Binary projective measurement via linear optics and photon counting,” Phys. Rev. Lett. 97, 040502 (2006).
[CrossRef]

Takeuchi, S.

S. Takeuchi, J. Kim, Y. Yamamoto, and H. H. Hogue, “Development of a high-quantum-efficiency single-photon counting system,” Appl. Phys. Lett. 74, 1063–1065 (1999).
[CrossRef]

Vaidman, L.

L. Vaidman, “Teleportation of quantum states,” Phys. Rev. A 49, 1473–1476 (1994).
[CrossRef]

van Loock, P.

S. Takeda, T. Mizuta, M. Fuwa, P. van Loock, and A. Furusawa, “Deterministic quantum teleportation of photonic quantum bits by a hybrid technique,” Nature 500, 315–318 (2013).
[CrossRef]

S. Takeda, T. Mizuta, M. Fuwa, H. Yonezawa, P. van Loock, and A. Furusawa, “Gain tuning for continuous-variable quantum teleportation of discrete-variable states,” Phys. Rev. A 88, 042327 (2013).
[CrossRef]

Watrous, J.

R. Cleve and J. Watrous, “Fast parallel circuits for the quantum Fourier transform,” in Proceedings 41st Annual Symposium on Foundations of Computer Science (2000), pp. 526–536.

Weinfurter, H.

D. Bouwmeester, J.-W. Pan, K. Mattle, M. Eibl, H. Weinfurter, and A. Zeilinger, “Experimental quantum teleportation,” Nature 390, 575–579 (1997).
[CrossRef]

Wineland, D.

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

Wootters, W. K.

C. H. Bennett, G. Brassard, C. Crépeau, R. Jozsa, A. Peres, and W. K. Wootters, “Teleporting an unknown quantum state via dual classical and Einstein–Podolsky–Rosen channels,” Phys. Rev. Lett. 70, 1895–1899 (1993).
[CrossRef]

Yamamoto, Y.

S. Takeuchi, J. Kim, Y. Yamamoto, and H. H. Hogue, “Development of a high-quantum-efficiency single-photon counting system,” Appl. Phys. Lett. 74, 1063–1065 (1999).
[CrossRef]

Ye, X. L.

Yonezawa, H.

S. Takeda, T. Mizuta, M. Fuwa, H. Yonezawa, P. van Loock, and A. Furusawa, “Gain tuning for continuous-variable quantum teleportation of discrete-variable states,” Phys. Rev. A 88, 042327 (2013).
[CrossRef]

Yukawa, M.

M. Yukawa, H. Benichi, and A. Furusawa, “High-fidelity continuous-variable quantum teleportation toward multistep quantum operations,” Phys. Rev. A 77, 022314 (2008).
[CrossRef]

Zeilinger, A.

D. Bouwmeester, J.-W. Pan, K. Mattle, M. Eibl, H. Weinfurter, and A. Zeilinger, “Experimental quantum teleportation,” Nature 390, 575–579 (1997).
[CrossRef]

Zoller, P.

L.-M. Duan, G. Giedke, J. I. Cirac, and P. Zoller, “Physical implementation for entanglement purification of Gaussian continuous-variable quantum states,” Phys. Rev. A 62, 032304 (2000).
[CrossRef]

L.-M. Duan, G. Giedke, J. I. Cirac, and P. Zoller, “Entanglement purification of Gaussian continuous variable quantum states,” Phys. Rev. Lett. 84, 4002–4005 (2000).
[CrossRef]

Appl. Phys. Lett. (1)

S. Takeuchi, J. Kim, Y. Yamamoto, and H. H. Hogue, “Development of a high-quantum-efficiency single-photon counting system,” Appl. Phys. Lett. 74, 1063–1065 (1999).
[CrossRef]

Europhys. Lett. (1)

S. A. Babichev, J. Ries, and A. I. Lvovsky, “Quantum scissors: teleportation of single-mode optical states by means of a nonlocal single photon,” Europhys. Lett. 64, 1–7 (2003).
[CrossRef]

J. Opt. B Quantum Semiclass. Opt. (1)

A. Miranowicz, “Optical-state truncation and teleportation of qudits by conditional eight-port interferometry,” J. Opt. B Quantum Semiclass. Opt. 7, 142–150 (2005).
[CrossRef]

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

J. Phys. A (1)

G. Alber, A. Delgado, N. Gisin, and I. Jex, “Efficient bipartite quantum state purification in arbitrary dimensional Hilbert spaces,” J. Phys. A 34, 8821–8833 (2001).
[CrossRef]

Laser Phys. (1)

S. Pirandola and S. Mancini, “Quantum teleportation with continuous variables: a survey,” Laser Phys. 16, 1418–1438 (2006).
[CrossRef]

Nature (3)

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

D. Bouwmeester, J.-W. Pan, K. Mattle, M. Eibl, H. Weinfurter, and A. Zeilinger, “Experimental quantum teleportation,” Nature 390, 575–579 (1997).
[CrossRef]

S. Takeda, T. Mizuta, M. Fuwa, P. van Loock, and A. Furusawa, “Deterministic quantum teleportation of photonic quantum bits by a hybrid technique,” Nature 500, 315–318 (2013).
[CrossRef]

New J. Phys. (1)

S. Beigi and R. Knig, “Simplified instantaneous non-local quantum computation with applications to position-based cryptography,” New J. Phys. 13, 093036 (2011).
[CrossRef]

Opt. Commun. (1)

S. M. Barnett, L. S. Phillips, and D. T. Pegg, “Imperfect photodetection as projection onto mixed states,” Opt. Commun. 158, 45–49 (1998).
[CrossRef]

Opt. Express (1)

Phys. D (1)

G. Brassard, S. L. Braunstein, and R. Cleve, “Teleportation as a quantum computation,” Phys. D 120, 43–47 (1998).
[CrossRef]

Phys. Rev. A (7)

L. Vaidman, “Teleportation of quantum states,” Phys. Rev. A 49, 1473–1476 (1994).
[CrossRef]

M. Horodecki, P. Horodecki, and R. Horodecki, “General teleportation channel, singlet fraction, and quasidistillation,” Phys. Rev. A 60, 1888–1898 (1999).
[CrossRef]

L.-M. Duan, G. Giedke, J. I. Cirac, and P. Zoller, “Physical implementation for entanglement purification of Gaussian continuous-variable quantum states,” Phys. Rev. A 62, 032304 (2000).
[CrossRef]

S. Ishizaka and T. Hiroshima, “Quantum teleportation scheme by selecting one of multiple output ports,” Phys. Rev. A 79, 042306 (2009).
[CrossRef]

M. Yukawa, H. Benichi, and A. Furusawa, “High-fidelity continuous-variable quantum teleportation toward multistep quantum operations,” Phys. Rev. A 77, 022314 (2008).
[CrossRef]

S. Takeda, T. Mizuta, M. Fuwa, H. Yonezawa, P. van Loock, and A. Furusawa, “Gain tuning for continuous-variable quantum teleportation of discrete-variable states,” Phys. Rev. A 88, 042327 (2013).
[CrossRef]

S. K. Özdemir, A. Miranowicz, M. Koashi, and N. Imoto, “Quantum-scissors device for optical state truncation: a proposal for practical realization,” Phys. Rev. A 64, 063818 (2001).
[CrossRef]

Phys. Rev. Lett (1)

D. Boschi, S. Branca, F. De Martini, L. Hardy, and S. Popescu, “Experimental realization of teleporting an unknown pure quantum state via dual classical and Einstein-Podolsky-Rosen channels,” Phys. Rev. Lett 80, 1121–1125 (1998).
[CrossRef]

Phys. Rev. Lett. (6)

C. H. Bennett, G. Brassard, C. Crépeau, R. Jozsa, A. Peres, and W. K. Wootters, “Teleporting an unknown quantum state via dual classical and Einstein–Podolsky–Rosen channels,” Phys. Rev. Lett. 70, 1895–1899 (1993).
[CrossRef]

S. Ishizaka and T. Hiroshima, “Asymptotic teleportation scheme as a universal programmable quantum processor,” Phys. Rev. Lett. 101, 240501 (2008).
[CrossRef]

L.-M. Duan, G. Giedke, J. I. Cirac, and P. Zoller, “Entanglement purification of Gaussian continuous variable quantum states,” Phys. Rev. Lett. 84, 4002–4005 (2000).
[CrossRef]

U. L. Andersen and T. C. Ralph, “High-fidelity teleportation of continuous-variable quantum states using delocalized single photons,” Phys. Rev. Lett. 111, 050504 (2013).
[CrossRef]

S. Strelchuk, M. Horodecki, and J. Oppenheim, “Generalized teleportation and entanglement recycling,” Phys. Rev. Lett. 110, 010505 (2013).
[CrossRef]

M. Takeoka, M. Sasaki, and N. Lütkenhaus, “Binary projective measurement via linear optics and photon counting,” Phys. Rev. Lett. 97, 040502 (2006).
[CrossRef]

Phys. Scr. (1)

M. A. Sols-Prosser, O. Jimnez, L. Neves, and A. Delgado, “Quantum teleportation via quantum channels with non-maximal Schmidt rank,” Phys. Scr. 2013, 014058 (2013).
[CrossRef]

Other (4)

J. Kim, J. Lee, S.-W. Ji, H. Nha, P. M. Anisimov, and J. P. Dowling, “Coherent-state optical qudit cluster state generation and teleportation via homodyne detection,” arXiv:1012.5872 (2010).

S. Clark, B. Coecke, E. Grefenstette, S. Pulman, and M. Sadrzadeh, “A quantum teleportation inspired algorithm produces sentence meaning from word meaning and grammatical structure,” arXiv:1305.0556 (2013).

M. Nielsen and I. Chuang, Quantum Computation and Quantum Information, Cambridge Series on Information and the Natural Sciences (Cambridge University, 2000).

R. Cleve and J. Watrous, “Fast parallel circuits for the quantum Fourier transform,” in Proceedings 41st Annual Symposium on Foundations of Computer Science (2000), pp. 526–536.

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Figures (6)

Fig. 1.
Fig. 1.

Recombining N modes on an N-splitter.

Fig. 2.
Fig. 2.

Teleportation of Fock basis via N-splitters. To provide a fair comparison, mN is fixed at a value of 20. It is readily seen that the amplitudes associated with the teleported number states, given by Eq. (12), remain higher for larger m.

Fig. 3.
Fig. 3.

Teleportation of one arm of an EPR pair with Vs=10. Fidelity is plotted against the size of the N-splitter for a variety of different Hilbert space dimensions m associated with each mode.

Fig. 4.
Fig. 4.

Teleportation of one arm of an EPR pair with Vs=10. Success probability is plotted against the size of the N-splitter for a variety of different Hilbert space dimensions m associated with each mode.

Fig. 5.
Fig. 5.

Teleporting a quartit via a multimode interferometer; image based off Fig. 2 in Ref. [27].

Fig. 6.
Fig. 6.

Subset of parameter space where scheme II outperforms scheme I in the specific case of teleporting quartits with a multimode interferometer approach.

Equations (23)

Equations on this page are rendered with MathJax. Learn more.

|ψ23=1dm=0d1|m2|m3,
XOR^21|j1|i2=|ij1|i2,
Z^3|m1=ωm|m3,
X^3|m1=|m13,
XOR^21|ϕ1|ψ23=1d,k=0d1Z^3dX^3k|k1|ν2|ϕ3,
|ν2=1dZ^2k=0d1|k2.
|α=e|α|2/2n=0αnn!(a^)n|0,
|α/NN[exp(|α|22N)(I^+αNa^+α22N(a^)2++αmm!(N)m(a^)m)|0]N,
|ϕ=N(I^+αNa^f++αmm!Nm(a^f)m)N|0,
ck={Nk}m(αN)kk!,
{Nk}m{r1,r2,,rN}r1+r2++rn=krimirj1rj!
|ϕ=e|α|2/2Psuck=0mN{Nk}m(αN)kk!|k,
Psuc=e|α|2k=0mN{Nk}m2(|α|2N2)kk!
|k{Nk}mk!Nk|k,
|Φtele=1Psuck=0mNck{Nk}mk!Nk|k,
Psuc=k=0mN|ck|2{Nk}m2k!2N2k,
|EPR=1χ2n=0χn|na|nb,
|EPRtele=1χ2Psuck=0mNχn{Nk}mk!Nk|ka|kb,
Psuc=(1χ2)k=0mNχ2k{Nk}m2k!2N2k,
f=1χ2Psuck=0mNχ2k{Nk}mk!Nk,
Π^N(a)=n=0Nm=neννNn(Nn)!ηn(1η)mn(mn)|mm|,
iNαriri!Nri(a^f)ri|0.
ck={r1,r2,,rN}r1+r2++rn=krimirj1rj!(αN)kk!,

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