Abstract

We experimentally demonstrated entanglement extraction scheme by using photons at the telecommunication band for optical-fiber-based quantum communications. We generated two pairs of non-degenerate polarization entangled photons at 780 nm and 1551 nm by spontaneous parametric down-conversion and distributed the two photons at 1551 nm through a collective phase damping channel which gives the same amount of random phase shift on the two photons. Through local operation and classical communication, we extracted an entangled photon pair from two phase-disturbed photon pairs. An observed fidelity of the extracted photon pair to a maximally entangled photon pair was 0.73 ± 0.07 which clearly shows the recovery of entanglement.

© 2015 Optical Society of America

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    [Crossref] [PubMed]
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    [Crossref] [PubMed]
  5. C. H. Bennett, H. J. Bernstein, S. Popescu, and B. Schumacher, “Concentrating partial entanglement by local operations,” Phys. Rev. A 53, 2046–2052 (1996).
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  6. D. Deutsch, A. Ekert, R. Jozsa, C. Macchiavello, S. Popescu, and A. Sanpera, “Quantum privacy amplification and the security of quantum cryptography over noisy channels,” Phys. Rev. Lett. 77, 2818–2821 (1996).
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  8. Z. Zhao, J.-W. Pan, and M. S. Zhan, “Practical scheme for entanglement concentration,” Phys. Rev. A 64, 014301 (2001).
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  9. J.-W. Pan, C. Simon, c. Brukner, and A. Zeilinger, “Entanglement purification for quantum communication,” Nature 410, 1067–1070 (2001).
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  10. Z. Zhao, T. Yang, Y.-A. Chen, A.-N. Zhang, and J.-W. Pan, “Experimental realization of entanglement concentration and a quantum repeater,” Phys. Rev. Lett. 90, 207901 (2003).
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  12. D. Stucki, N. Gisin, O. Guinnard, G. Ribordy, and H. Zbinden, “Quantum key distribution over 67 km with a plug & play system,” New J. Phys. 4, 41 (2002).
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  13. T. Yamamoto, R. Nagase, J. Shimamura, Ş. K. Özdemir, M. Koashi, and N. Imoto, “Experimental ancilla-assisted qubit transmission against correlated noise using quantum parity checking,” New J. Phys. 9, 191 (2007).
    [Crossref]
  14. K. Banaszek, A. Dragan, W. Wasilewski, and C. Radzewicz, “Experimental demonstration of entanglement-enhanced classical communication over a quantum channel with correlated noise,” Phys. Rev. Lett. 92, 257901 (2004).
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    [Crossref] [PubMed]
  20. M. Bourennane, M. Eibl, S. Gaertner, C. Kurtsiefer, A. Cabello, and H. Weinfurter, “Decoherence-free quantum information processing with four-photon entangled states,” Phys. Rev. Lett. 92, 107901 (2004).
    [Crossref] [PubMed]
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    [Crossref]
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    [Crossref] [PubMed]
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    [Crossref]
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    [Crossref]
  25. M. Mohseni, J. S. Lundeen, K. J. Resch, and A. M. Steinberg, “Experimental application of decoherence-free subspaces in an optical quantum-computing algorithm,” Phys. Rev. Lett. 91, 187903 (2003).
    [Crossref] [PubMed]
  26. J. E. Ollerenshaw, D. A. Lidar, and L. E. Kay, “Magnetic resonance realization of decoherence-free quantum computation,” Phys. Rev. Lett. 91, 217904 (2003).
    [Crossref] [PubMed]
  27. L.-A. Wu, P. Zanardi, and D. A. Lidar, “Holonomic quantum computation in decoherence-free subspaces,” Phys. Rev. Lett. 95, 130501 (2005).
    [Crossref] [PubMed]
  28. T. B. Pittman, B. C. Jacobs, and J. D. Franson, “Probabilistic quantum logic operations using polarizing beam splitters,” Phys. Rev. A 64, 062311 (2001).
    [Crossref]
  29. D. F. V. James, P. G. Kwiat, W. J. Munro, and A. G. White, “Measurement of qubits,” Phys. Rev. A 64, 052312 (2001).
    [Crossref]
  30. J. Řeháček, Z. Hradil, E. Knill, and A. I. Lvovsky, “Diluted maximum-likelihood algorithm for quantum tomog raphy,” Phys. Rev. A 75, 042108 (2007).
    [Crossref]
  31. C. K. Hong, Z. Y. Ou, and L. Mandel, “Measurement of subpicosecond time intervals between two photons by interference,” Phys. Rev. Lett. 59, 2044–2046 (1987).
    [Crossref] [PubMed]
  32. P. J. Mosley, J. S. Lundeen, B. J. Smith, P. Wasylczyk, A. B. U’Ren, C. Silberhorn, and I. A. Walmsley, “Heralded generation of ultrafast single photons in pure quantum states,” Phys. Rev. Lett. 100, 133601 (2008).
    [Crossref] [PubMed]
  33. B. Bell, A. Clark, M. Tame, M. Halder, J. Fulconis, W. Wadsworth, and J. Rarity, “Experimental characterization of photonic fusion using fiber sources,” New J. Phys. 14, 023021 (2012).
    [Crossref]

2014 (2)

P. Zhang, K. Aungskunsiri, E. Martín-López, J. Wabnig, M. Lobino, R. W. Nock, J. Munns, D. Bonneau, P. Jiang, H. W. Li, A. Laing, J. G. Rarity, A. O. Niskanen, M. G. Thompson, and J. L. O’Brien, “Reference-frame-independent quantum-key-distribution server with a telecom tether for an on-chip client,” Phys. Rev. Lett. 112, 130501 (2014).
[Crossref] [PubMed]

G. Vallone, V. D’Ambrosio, A. Sponselli, S. Slussarenko, L. Marrucci, F. Sciarrino, and P. Villoresi, “Free-space quantum key distribution by rotation-invariant twisted photons,” Phys. Rev. Lett. 113, 060503 (2014).
[Crossref] [PubMed]

2013 (2)

J. Wabnig, D. Bitauld, H. Li, A. Laing, J. O’Brien, and A. Niskanen, “Demonstration of free-space reference frame independent quantum key distribution,” New J. Phys. 15, 073001 (2013).
[Crossref]

H. Kumagai, T. Yamamoto, M. Koashi, and N. Imoto, “Robustness of quantum communication based on a decoherence-free subspace using a counter-propagating weak coherent light pulse,” Phys. Rev. A 87, 052325 (2013).
[Crossref]

2012 (1)

B. Bell, A. Clark, M. Tame, M. Halder, J. Fulconis, W. Wadsworth, and J. Rarity, “Experimental characterization of photonic fusion using fiber sources,” New J. Phys. 14, 023021 (2012).
[Crossref]

2011 (1)

R. Ikuta, Y. Ono, T. Tashima, T. Yamamoto, M. Koashi, and N. Imoto, “Efficient decoherence-free entanglement distribution over lossy quantum channels,” Phys. Rev. Lett. 106, 110503 (2011).
[Crossref] [PubMed]

2010 (1)

A. Laing, V. Scarani, J. G. Rarity, and J. L. O’Brien, “Reference-frame-independent quantum key distribution,” Phys. Rev. A 82, 012304 (2010).
[Crossref]

2008 (2)

T. Yamamoto, K. Hayashi, Ş. K. Özdemir, M. Koashi, and N. Imoto, “Robust photonic entanglement distribution by state-independent encoding onto decoherence-free subspace,” Nat. Photonics 2, 488–491 (2008).
[Crossref]

P. J. Mosley, J. S. Lundeen, B. J. Smith, P. Wasylczyk, A. B. U’Ren, C. Silberhorn, and I. A. Walmsley, “Heralded generation of ultrafast single photons in pure quantum states,” Phys. Rev. Lett. 100, 133601 (2008).
[Crossref] [PubMed]

2007 (3)

R. Prevedel, M. S. Tame, A. Stefanov, M. Paternostro, M. S. Kim, and A. Zeilinger, “Experimental demonstration of decoherence-free one-way information transfer,” Phys. Rev. Lett. 99, 250503 (2007).
[Crossref]

J. Řeháček, Z. Hradil, E. Knill, and A. I. Lvovsky, “Diluted maximum-likelihood algorithm for quantum tomog raphy,” Phys. Rev. A 75, 042108 (2007).
[Crossref]

T. Yamamoto, R. Nagase, J. Shimamura, Ş. K. Özdemir, M. Koashi, and N. Imoto, “Experimental ancilla-assisted qubit transmission against correlated noise using quantum parity checking,” New J. Phys. 9, 191 (2007).
[Crossref]

2005 (1)

L.-A. Wu, P. Zanardi, and D. A. Lidar, “Holonomic quantum computation in decoherence-free subspaces,” Phys. Rev. Lett. 95, 130501 (2005).
[Crossref] [PubMed]

2004 (2)

K. Banaszek, A. Dragan, W. Wasilewski, and C. Radzewicz, “Experimental demonstration of entanglement-enhanced classical communication over a quantum channel with correlated noise,” Phys. Rev. Lett. 92, 257901 (2004).
[Crossref] [PubMed]

M. Bourennane, M. Eibl, S. Gaertner, C. Kurtsiefer, A. Cabello, and H. Weinfurter, “Decoherence-free quantum information processing with four-photon entangled states,” Phys. Rev. Lett. 92, 107901 (2004).
[Crossref] [PubMed]

2003 (4)

Z. Zhao, T. Yang, Y.-A. Chen, A.-N. Zhang, and J.-W. Pan, “Experimental realization of entanglement concentration and a quantum repeater,” Phys. Rev. Lett. 90, 207901 (2003).
[Crossref] [PubMed]

T. Yamamoto, M. Koashi, Ş. K. Özdemir, and N. Imoto, “Experimental extraction of an entangled photon pair from two identically decohered pairs,” Nature 421, 343–346 (2003).
[Crossref] [PubMed]

M. Mohseni, J. S. Lundeen, K. J. Resch, and A. M. Steinberg, “Experimental application of decoherence-free subspaces in an optical quantum-computing algorithm,” Phys. Rev. Lett. 91, 187903 (2003).
[Crossref] [PubMed]

J. E. Ollerenshaw, D. A. Lidar, and L. E. Kay, “Magnetic resonance realization of decoherence-free quantum computation,” Phys. Rev. Lett. 91, 217904 (2003).
[Crossref] [PubMed]

2002 (1)

D. Stucki, N. Gisin, O. Guinnard, G. Ribordy, and H. Zbinden, “Quantum key distribution over 67 km with a plug & play system,” New J. Phys. 4, 41 (2002).
[Crossref]

2001 (5)

T. Yamamoto, M. Koashi, and N. Imoto, “Concentration and purification scheme for two partially entangled photon pairs,” Phys. Rev. A 64, 012304 (2001).
[Crossref]

Z. Zhao, J.-W. Pan, and M. S. Zhan, “Practical scheme for entanglement concentration,” Phys. Rev. A 64, 014301 (2001).
[Crossref]

J.-W. Pan, C. Simon, c. Brukner, and A. Zeilinger, “Entanglement purification for quantum communication,” Nature 410, 1067–1070 (2001).
[Crossref] [PubMed]

T. B. Pittman, B. C. Jacobs, and J. D. Franson, “Probabilistic quantum logic operations using polarizing beam splitters,” Phys. Rev. A 64, 062311 (2001).
[Crossref]

D. F. V. James, P. G. Kwiat, W. J. Munro, and A. G. White, “Measurement of qubits,” Phys. Rev. A 64, 052312 (2001).
[Crossref]

2000 (1)

P. G. Kwiat, A. J. Berglund, J. B. Altepeter, and A. G. White, “Experimental verification of decoherence-free subspaces,” Science 290, 498–501 (2000).
[Crossref] [PubMed]

1996 (3)

C. H. Bennett, D. P. DiVincenzo, J. A. Smolin, and W. K. Wootters, “Mixed-state entanglement and quantum error correction,” Phys. Rev. A 54, 3824–3851 (1996).
[Crossref] [PubMed]

C. H. Bennett, H. J. Bernstein, S. Popescu, and B. Schumacher, “Concentrating partial entanglement by local operations,” Phys. Rev. A 53, 2046–2052 (1996).
[Crossref] [PubMed]

D. Deutsch, A. Ekert, R. Jozsa, C. Macchiavello, S. Popescu, and A. Sanpera, “Quantum privacy amplification and the security of quantum cryptography over noisy channels,” Phys. Rev. Lett. 77, 2818–2821 (1996).
[Crossref] [PubMed]

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] [PubMed]

1992 (2)

C. H. Bennett and S. J. Wiesner, “Communication via one- and two-particle operators on einstein-podolsky-rosen states,” Phys. Rev. Lett. 69, 2881–2884 (1992).
[Crossref] [PubMed]

C. H. Bennett, G. Brassard, and N. D. Mermin, “Quantum cryptography without bell’s theorem,” Phys. Rev. Lett. 68, 557–559 (1992).
[Crossref] [PubMed]

1987 (1)

C. K. Hong, Z. Y. Ou, and L. Mandel, “Measurement of subpicosecond time intervals between two photons by interference,” Phys. Rev. Lett. 59, 2044–2046 (1987).
[Crossref] [PubMed]

Altepeter, J. B.

P. G. Kwiat, A. J. Berglund, J. B. Altepeter, and A. G. White, “Experimental verification of decoherence-free subspaces,” Science 290, 498–501 (2000).
[Crossref] [PubMed]

Aungskunsiri, K.

P. Zhang, K. Aungskunsiri, E. Martín-López, J. Wabnig, M. Lobino, R. W. Nock, J. Munns, D. Bonneau, P. Jiang, H. W. Li, A. Laing, J. G. Rarity, A. O. Niskanen, M. G. Thompson, and J. L. O’Brien, “Reference-frame-independent quantum-key-distribution server with a telecom tether for an on-chip client,” Phys. Rev. Lett. 112, 130501 (2014).
[Crossref] [PubMed]

Banaszek, K.

K. Banaszek, A. Dragan, W. Wasilewski, and C. Radzewicz, “Experimental demonstration of entanglement-enhanced classical communication over a quantum channel with correlated noise,” Phys. Rev. Lett. 92, 257901 (2004).
[Crossref] [PubMed]

Bell, B.

B. Bell, A. Clark, M. Tame, M. Halder, J. Fulconis, W. Wadsworth, and J. Rarity, “Experimental characterization of photonic fusion using fiber sources,” New J. Phys. 14, 023021 (2012).
[Crossref]

Bennett, C. H.

C. H. Bennett, D. P. DiVincenzo, J. A. Smolin, and W. K. Wootters, “Mixed-state entanglement and quantum error correction,” Phys. Rev. A 54, 3824–3851 (1996).
[Crossref] [PubMed]

C. H. Bennett, H. J. Bernstein, S. Popescu, and B. Schumacher, “Concentrating partial entanglement by local operations,” Phys. Rev. A 53, 2046–2052 (1996).
[Crossref] [PubMed]

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] [PubMed]

C. H. Bennett and S. J. Wiesner, “Communication via one- and two-particle operators on einstein-podolsky-rosen states,” Phys. Rev. Lett. 69, 2881–2884 (1992).
[Crossref] [PubMed]

C. H. Bennett, G. Brassard, and N. D. Mermin, “Quantum cryptography without bell’s theorem,” Phys. Rev. Lett. 68, 557–559 (1992).
[Crossref] [PubMed]

Berglund, A. J.

P. G. Kwiat, A. J. Berglund, J. B. Altepeter, and A. G. White, “Experimental verification of decoherence-free subspaces,” Science 290, 498–501 (2000).
[Crossref] [PubMed]

Bernstein, H. J.

C. H. Bennett, H. J. Bernstein, S. Popescu, and B. Schumacher, “Concentrating partial entanglement by local operations,” Phys. Rev. A 53, 2046–2052 (1996).
[Crossref] [PubMed]

Bitauld, D.

J. Wabnig, D. Bitauld, H. Li, A. Laing, J. O’Brien, and A. Niskanen, “Demonstration of free-space reference frame independent quantum key distribution,” New J. Phys. 15, 073001 (2013).
[Crossref]

Bonneau, D.

P. Zhang, K. Aungskunsiri, E. Martín-López, J. Wabnig, M. Lobino, R. W. Nock, J. Munns, D. Bonneau, P. Jiang, H. W. Li, A. Laing, J. G. Rarity, A. O. Niskanen, M. G. Thompson, and J. L. O’Brien, “Reference-frame-independent quantum-key-distribution server with a telecom tether for an on-chip client,” Phys. Rev. Lett. 112, 130501 (2014).
[Crossref] [PubMed]

Bourennane, M.

M. Bourennane, M. Eibl, S. Gaertner, C. Kurtsiefer, A. Cabello, and H. Weinfurter, “Decoherence-free quantum information processing with four-photon entangled states,” Phys. Rev. Lett. 92, 107901 (2004).
[Crossref] [PubMed]

Brassard, G.

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] [PubMed]

C. H. Bennett, G. Brassard, and N. D. Mermin, “Quantum cryptography without bell’s theorem,” Phys. Rev. Lett. 68, 557–559 (1992).
[Crossref] [PubMed]

Brukner, c.

J.-W. Pan, C. Simon, c. Brukner, and A. Zeilinger, “Entanglement purification for quantum communication,” Nature 410, 1067–1070 (2001).
[Crossref] [PubMed]

Cabello, A.

M. Bourennane, M. Eibl, S. Gaertner, C. Kurtsiefer, A. Cabello, and H. Weinfurter, “Decoherence-free quantum information processing with four-photon entangled states,” Phys. Rev. Lett. 92, 107901 (2004).
[Crossref] [PubMed]

Chen, Y.-A.

Z. Zhao, T. Yang, Y.-A. Chen, A.-N. Zhang, and J.-W. Pan, “Experimental realization of entanglement concentration and a quantum repeater,” Phys. Rev. Lett. 90, 207901 (2003).
[Crossref] [PubMed]

Clark, A.

B. Bell, A. Clark, M. Tame, M. Halder, J. Fulconis, W. Wadsworth, and J. Rarity, “Experimental characterization of photonic fusion using fiber sources,” New J. Phys. 14, 023021 (2012).
[Crossref]

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] [PubMed]

D’Ambrosio, V.

G. Vallone, V. D’Ambrosio, A. Sponselli, S. Slussarenko, L. Marrucci, F. Sciarrino, and P. Villoresi, “Free-space quantum key distribution by rotation-invariant twisted photons,” Phys. Rev. Lett. 113, 060503 (2014).
[Crossref] [PubMed]

Deutsch, D.

D. Deutsch, A. Ekert, R. Jozsa, C. Macchiavello, S. Popescu, and A. Sanpera, “Quantum privacy amplification and the security of quantum cryptography over noisy channels,” Phys. Rev. Lett. 77, 2818–2821 (1996).
[Crossref] [PubMed]

DiVincenzo, D. P.

C. H. Bennett, D. P. DiVincenzo, J. A. Smolin, and W. K. Wootters, “Mixed-state entanglement and quantum error correction,” Phys. Rev. A 54, 3824–3851 (1996).
[Crossref] [PubMed]

Dragan, A.

K. Banaszek, A. Dragan, W. Wasilewski, and C. Radzewicz, “Experimental demonstration of entanglement-enhanced classical communication over a quantum channel with correlated noise,” Phys. Rev. Lett. 92, 257901 (2004).
[Crossref] [PubMed]

Eibl, M.

M. Bourennane, M. Eibl, S. Gaertner, C. Kurtsiefer, A. Cabello, and H. Weinfurter, “Decoherence-free quantum information processing with four-photon entangled states,” Phys. Rev. Lett. 92, 107901 (2004).
[Crossref] [PubMed]

Ekert, A.

D. Deutsch, A. Ekert, R. Jozsa, C. Macchiavello, S. Popescu, and A. Sanpera, “Quantum privacy amplification and the security of quantum cryptography over noisy channels,” Phys. Rev. Lett. 77, 2818–2821 (1996).
[Crossref] [PubMed]

Franson, J. D.

T. B. Pittman, B. C. Jacobs, and J. D. Franson, “Probabilistic quantum logic operations using polarizing beam splitters,” Phys. Rev. A 64, 062311 (2001).
[Crossref]

Fulconis, J.

B. Bell, A. Clark, M. Tame, M. Halder, J. Fulconis, W. Wadsworth, and J. Rarity, “Experimental characterization of photonic fusion using fiber sources,” New J. Phys. 14, 023021 (2012).
[Crossref]

Gaertner, S.

M. Bourennane, M. Eibl, S. Gaertner, C. Kurtsiefer, A. Cabello, and H. Weinfurter, “Decoherence-free quantum information processing with four-photon entangled states,” Phys. Rev. Lett. 92, 107901 (2004).
[Crossref] [PubMed]

Gisin, N.

D. Stucki, N. Gisin, O. Guinnard, G. Ribordy, and H. Zbinden, “Quantum key distribution over 67 km with a plug & play system,” New J. Phys. 4, 41 (2002).
[Crossref]

Guinnard, O.

D. Stucki, N. Gisin, O. Guinnard, G. Ribordy, and H. Zbinden, “Quantum key distribution over 67 km with a plug & play system,” New J. Phys. 4, 41 (2002).
[Crossref]

Halder, M.

B. Bell, A. Clark, M. Tame, M. Halder, J. Fulconis, W. Wadsworth, and J. Rarity, “Experimental characterization of photonic fusion using fiber sources,” New J. Phys. 14, 023021 (2012).
[Crossref]

Hayashi, K.

T. Yamamoto, K. Hayashi, Ş. K. Özdemir, M. Koashi, and N. Imoto, “Robust photonic entanglement distribution by state-independent encoding onto decoherence-free subspace,” Nat. Photonics 2, 488–491 (2008).
[Crossref]

Hong, C. K.

C. K. Hong, Z. Y. Ou, and L. Mandel, “Measurement of subpicosecond time intervals between two photons by interference,” Phys. Rev. Lett. 59, 2044–2046 (1987).
[Crossref] [PubMed]

Hradil, Z.

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R. Ikuta, Y. Ono, T. Tashima, T. Yamamoto, M. Koashi, and N. Imoto, “Efficient decoherence-free entanglement distribution over lossy quantum channels,” Phys. Rev. Lett. 106, 110503 (2011).
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T. Yamamoto, K. Hayashi, Ş. K. Özdemir, M. Koashi, and N. Imoto, “Robust photonic entanglement distribution by state-independent encoding onto decoherence-free subspace,” Nat. Photonics 2, 488–491 (2008).
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T. Yamamoto, R. Nagase, J. Shimamura, Ş. K. Özdemir, M. Koashi, and N. Imoto, “Experimental ancilla-assisted qubit transmission against correlated noise using quantum parity checking,” New J. Phys. 9, 191 (2007).
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T. Yamamoto, M. Koashi, Ş. K. Özdemir, and N. Imoto, “Experimental extraction of an entangled photon pair from two identically decohered pairs,” Nature 421, 343–346 (2003).
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T. Yamamoto, M. Koashi, and N. Imoto, “Concentration and purification scheme for two partially entangled photon pairs,” Phys. Rev. A 64, 012304 (2001).
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T. B. Pittman, B. C. Jacobs, and J. D. Franson, “Probabilistic quantum logic operations using polarizing beam splitters,” Phys. Rev. A 64, 062311 (2001).
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D. F. V. James, P. G. Kwiat, W. J. Munro, and A. G. White, “Measurement of qubits,” Phys. Rev. A 64, 052312 (2001).
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P. Zhang, K. Aungskunsiri, E. Martín-López, J. Wabnig, M. Lobino, R. W. Nock, J. Munns, D. Bonneau, P. Jiang, H. W. Li, A. Laing, J. G. Rarity, A. O. Niskanen, M. G. Thompson, and J. L. O’Brien, “Reference-frame-independent quantum-key-distribution server with a telecom tether for an on-chip client,” Phys. Rev. Lett. 112, 130501 (2014).
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D. Deutsch, A. Ekert, R. Jozsa, C. Macchiavello, S. Popescu, and A. Sanpera, “Quantum privacy amplification and the security of quantum cryptography over noisy channels,” Phys. Rev. Lett. 77, 2818–2821 (1996).
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J. E. Ollerenshaw, D. A. Lidar, and L. E. Kay, “Magnetic resonance realization of decoherence-free quantum computation,” Phys. Rev. Lett. 91, 217904 (2003).
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R. Prevedel, M. S. Tame, A. Stefanov, M. Paternostro, M. S. Kim, and A. Zeilinger, “Experimental demonstration of decoherence-free one-way information transfer,” Phys. Rev. Lett. 99, 250503 (2007).
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J. Řeháček, Z. Hradil, E. Knill, and A. I. Lvovsky, “Diluted maximum-likelihood algorithm for quantum tomog raphy,” Phys. Rev. A 75, 042108 (2007).
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H. Kumagai, T. Yamamoto, M. Koashi, and N. Imoto, “Robustness of quantum communication based on a decoherence-free subspace using a counter-propagating weak coherent light pulse,” Phys. Rev. A 87, 052325 (2013).
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R. Ikuta, Y. Ono, T. Tashima, T. Yamamoto, M. Koashi, and N. Imoto, “Efficient decoherence-free entanglement distribution over lossy quantum channels,” Phys. Rev. Lett. 106, 110503 (2011).
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T. Yamamoto, K. Hayashi, Ş. K. Özdemir, M. Koashi, and N. Imoto, “Robust photonic entanglement distribution by state-independent encoding onto decoherence-free subspace,” Nat. Photonics 2, 488–491 (2008).
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T. Yamamoto, R. Nagase, J. Shimamura, Ş. K. Özdemir, M. Koashi, and N. Imoto, “Experimental ancilla-assisted qubit transmission against correlated noise using quantum parity checking,” New J. Phys. 9, 191 (2007).
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T. Yamamoto, M. Koashi, Ş. K. Özdemir, and N. Imoto, “Experimental extraction of an entangled photon pair from two identically decohered pairs,” Nature 421, 343–346 (2003).
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T. Yamamoto, M. Koashi, and N. Imoto, “Concentration and purification scheme for two partially entangled photon pairs,” Phys. Rev. A 64, 012304 (2001).
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H. Kumagai, T. Yamamoto, M. Koashi, and N. Imoto, “Robustness of quantum communication based on a decoherence-free subspace using a counter-propagating weak coherent light pulse,” Phys. Rev. A 87, 052325 (2013).
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J. Wabnig, D. Bitauld, H. Li, A. Laing, J. O’Brien, and A. Niskanen, “Demonstration of free-space reference frame independent quantum key distribution,” New J. Phys. 15, 073001 (2013).
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A. Laing, V. Scarani, J. G. Rarity, and J. L. O’Brien, “Reference-frame-independent quantum key distribution,” Phys. Rev. A 82, 012304 (2010).
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J. Wabnig, D. Bitauld, H. Li, A. Laing, J. O’Brien, and A. Niskanen, “Demonstration of free-space reference frame independent quantum key distribution,” New J. Phys. 15, 073001 (2013).
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P. Zhang, K. Aungskunsiri, E. Martín-López, J. Wabnig, M. Lobino, R. W. Nock, J. Munns, D. Bonneau, P. Jiang, H. W. Li, A. Laing, J. G. Rarity, A. O. Niskanen, M. G. Thompson, and J. L. O’Brien, “Reference-frame-independent quantum-key-distribution server with a telecom tether for an on-chip client,” Phys. Rev. Lett. 112, 130501 (2014).
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P. Zhang, K. Aungskunsiri, E. Martín-López, J. Wabnig, M. Lobino, R. W. Nock, J. Munns, D. Bonneau, P. Jiang, H. W. Li, A. Laing, J. G. Rarity, A. O. Niskanen, M. G. Thompson, and J. L. O’Brien, “Reference-frame-independent quantum-key-distribution server with a telecom tether for an on-chip client,” Phys. Rev. Lett. 112, 130501 (2014).
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M. Mohseni, J. S. Lundeen, K. J. Resch, and A. M. Steinberg, “Experimental application of decoherence-free subspaces in an optical quantum-computing algorithm,” Phys. Rev. Lett. 91, 187903 (2003).
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J. Řeháček, Z. Hradil, E. Knill, and A. I. Lvovsky, “Diluted maximum-likelihood algorithm for quantum tomog raphy,” Phys. Rev. A 75, 042108 (2007).
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D. Deutsch, A. Ekert, R. Jozsa, C. Macchiavello, S. Popescu, and A. Sanpera, “Quantum privacy amplification and the security of quantum cryptography over noisy channels,” Phys. Rev. Lett. 77, 2818–2821 (1996).
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D. F. V. James, P. G. Kwiat, W. J. Munro, and A. G. White, “Measurement of qubits,” Phys. Rev. A 64, 052312 (2001).
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T. Yamamoto, R. Nagase, J. Shimamura, Ş. K. Özdemir, M. Koashi, and N. Imoto, “Experimental ancilla-assisted qubit transmission against correlated noise using quantum parity checking,” New J. Phys. 9, 191 (2007).
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J. Wabnig, D. Bitauld, H. Li, A. Laing, J. O’Brien, and A. Niskanen, “Demonstration of free-space reference frame independent quantum key distribution,” New J. Phys. 15, 073001 (2013).
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P. Zhang, K. Aungskunsiri, E. Martín-López, J. Wabnig, M. Lobino, R. W. Nock, J. Munns, D. Bonneau, P. Jiang, H. W. Li, A. Laing, J. G. Rarity, A. O. Niskanen, M. G. Thompson, and J. L. O’Brien, “Reference-frame-independent quantum-key-distribution server with a telecom tether for an on-chip client,” Phys. Rev. Lett. 112, 130501 (2014).
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J. Wabnig, D. Bitauld, H. Li, A. Laing, J. O’Brien, and A. Niskanen, “Demonstration of free-space reference frame independent quantum key distribution,” New J. Phys. 15, 073001 (2013).
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P. Zhang, K. Aungskunsiri, E. Martín-López, J. Wabnig, M. Lobino, R. W. Nock, J. Munns, D. Bonneau, P. Jiang, H. W. Li, A. Laing, J. G. Rarity, A. O. Niskanen, M. G. Thompson, and J. L. O’Brien, “Reference-frame-independent quantum-key-distribution server with a telecom tether for an on-chip client,” Phys. Rev. Lett. 112, 130501 (2014).
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J. E. Ollerenshaw, D. A. Lidar, and L. E. Kay, “Magnetic resonance realization of decoherence-free quantum computation,” Phys. Rev. Lett. 91, 217904 (2003).
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R. Ikuta, Y. Ono, T. Tashima, T. Yamamoto, M. Koashi, and N. Imoto, “Efficient decoherence-free entanglement distribution over lossy quantum channels,” Phys. Rev. Lett. 106, 110503 (2011).
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C. K. Hong, Z. Y. Ou, and L. Mandel, “Measurement of subpicosecond time intervals between two photons by interference,” Phys. Rev. Lett. 59, 2044–2046 (1987).
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T. Yamamoto, K. Hayashi, Ş. K. Özdemir, M. Koashi, and N. Imoto, “Robust photonic entanglement distribution by state-independent encoding onto decoherence-free subspace,” Nat. Photonics 2, 488–491 (2008).
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T. Yamamoto, R. Nagase, J. Shimamura, Ş. K. Özdemir, M. Koashi, and N. Imoto, “Experimental ancilla-assisted qubit transmission against correlated noise using quantum parity checking,” New J. Phys. 9, 191 (2007).
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T. Yamamoto, M. Koashi, Ş. K. Özdemir, and N. Imoto, “Experimental extraction of an entangled photon pair from two identically decohered pairs,” Nature 421, 343–346 (2003).
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R. Prevedel, M. S. Tame, A. Stefanov, M. Paternostro, M. S. Kim, and A. Zeilinger, “Experimental demonstration of decoherence-free one-way information transfer,” Phys. Rev. Lett. 99, 250503 (2007).
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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).
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T. B. Pittman, B. C. Jacobs, and J. D. Franson, “Probabilistic quantum logic operations using polarizing beam splitters,” Phys. Rev. A 64, 062311 (2001).
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C. H. Bennett, H. J. Bernstein, S. Popescu, and B. Schumacher, “Concentrating partial entanglement by local operations,” Phys. Rev. A 53, 2046–2052 (1996).
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D. Deutsch, A. Ekert, R. Jozsa, C. Macchiavello, S. Popescu, and A. Sanpera, “Quantum privacy amplification and the security of quantum cryptography over noisy channels,” Phys. Rev. Lett. 77, 2818–2821 (1996).
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R. Prevedel, M. S. Tame, A. Stefanov, M. Paternostro, M. S. Kim, and A. Zeilinger, “Experimental demonstration of decoherence-free one-way information transfer,” Phys. Rev. Lett. 99, 250503 (2007).
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B. Bell, A. Clark, M. Tame, M. Halder, J. Fulconis, W. Wadsworth, and J. Rarity, “Experimental characterization of photonic fusion using fiber sources,” New J. Phys. 14, 023021 (2012).
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Rarity, J. G.

P. Zhang, K. Aungskunsiri, E. Martín-López, J. Wabnig, M. Lobino, R. W. Nock, J. Munns, D. Bonneau, P. Jiang, H. W. Li, A. Laing, J. G. Rarity, A. O. Niskanen, M. G. Thompson, and J. L. O’Brien, “Reference-frame-independent quantum-key-distribution server with a telecom tether for an on-chip client,” Phys. Rev. Lett. 112, 130501 (2014).
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A. Laing, V. Scarani, J. G. Rarity, and J. L. O’Brien, “Reference-frame-independent quantum key distribution,” Phys. Rev. A 82, 012304 (2010).
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J. Řeháček, Z. Hradil, E. Knill, and A. I. Lvovsky, “Diluted maximum-likelihood algorithm for quantum tomog raphy,” Phys. Rev. A 75, 042108 (2007).
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M. Mohseni, J. S. Lundeen, K. J. Resch, and A. M. Steinberg, “Experimental application of decoherence-free subspaces in an optical quantum-computing algorithm,” Phys. Rev. Lett. 91, 187903 (2003).
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D. Stucki, N. Gisin, O. Guinnard, G. Ribordy, and H. Zbinden, “Quantum key distribution over 67 km with a plug & play system,” New J. Phys. 4, 41 (2002).
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D. Deutsch, A. Ekert, R. Jozsa, C. Macchiavello, S. Popescu, and A. Sanpera, “Quantum privacy amplification and the security of quantum cryptography over noisy channels,” Phys. Rev. Lett. 77, 2818–2821 (1996).
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A. Laing, V. Scarani, J. G. Rarity, and J. L. O’Brien, “Reference-frame-independent quantum key distribution,” Phys. Rev. A 82, 012304 (2010).
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C. H. Bennett, H. J. Bernstein, S. Popescu, and B. Schumacher, “Concentrating partial entanglement by local operations,” Phys. Rev. A 53, 2046–2052 (1996).
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Sciarrino, F.

G. Vallone, V. D’Ambrosio, A. Sponselli, S. Slussarenko, L. Marrucci, F. Sciarrino, and P. Villoresi, “Free-space quantum key distribution by rotation-invariant twisted photons,” Phys. Rev. Lett. 113, 060503 (2014).
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T. Yamamoto, R. Nagase, J. Shimamura, Ş. K. Özdemir, M. Koashi, and N. Imoto, “Experimental ancilla-assisted qubit transmission against correlated noise using quantum parity checking,” New J. Phys. 9, 191 (2007).
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P. J. Mosley, J. S. Lundeen, B. J. Smith, P. Wasylczyk, A. B. U’Ren, C. Silberhorn, and I. A. Walmsley, “Heralded generation of ultrafast single photons in pure quantum states,” Phys. Rev. Lett. 100, 133601 (2008).
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Simon, C.

J.-W. Pan, C. Simon, c. Brukner, and A. Zeilinger, “Entanglement purification for quantum communication,” Nature 410, 1067–1070 (2001).
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G. Vallone, V. D’Ambrosio, A. Sponselli, S. Slussarenko, L. Marrucci, F. Sciarrino, and P. Villoresi, “Free-space quantum key distribution by rotation-invariant twisted photons,” Phys. Rev. Lett. 113, 060503 (2014).
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P. J. Mosley, J. S. Lundeen, B. J. Smith, P. Wasylczyk, A. B. U’Ren, C. Silberhorn, and I. A. Walmsley, “Heralded generation of ultrafast single photons in pure quantum states,” Phys. Rev. Lett. 100, 133601 (2008).
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R. Prevedel, M. S. Tame, A. Stefanov, M. Paternostro, M. S. Kim, and A. Zeilinger, “Experimental demonstration of decoherence-free one-way information transfer,” Phys. Rev. Lett. 99, 250503 (2007).
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M. Mohseni, J. S. Lundeen, K. J. Resch, and A. M. Steinberg, “Experimental application of decoherence-free subspaces in an optical quantum-computing algorithm,” Phys. Rev. Lett. 91, 187903 (2003).
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D. Stucki, N. Gisin, O. Guinnard, G. Ribordy, and H. Zbinden, “Quantum key distribution over 67 km with a plug & play system,” New J. Phys. 4, 41 (2002).
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B. Bell, A. Clark, M. Tame, M. Halder, J. Fulconis, W. Wadsworth, and J. Rarity, “Experimental characterization of photonic fusion using fiber sources,” New J. Phys. 14, 023021 (2012).
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Tame, M. S.

R. Prevedel, M. S. Tame, A. Stefanov, M. Paternostro, M. S. Kim, and A. Zeilinger, “Experimental demonstration of decoherence-free one-way information transfer,” Phys. Rev. Lett. 99, 250503 (2007).
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R. Ikuta, Y. Ono, T. Tashima, T. Yamamoto, M. Koashi, and N. Imoto, “Efficient decoherence-free entanglement distribution over lossy quantum channels,” Phys. Rev. Lett. 106, 110503 (2011).
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P. Zhang, K. Aungskunsiri, E. Martín-López, J. Wabnig, M. Lobino, R. W. Nock, J. Munns, D. Bonneau, P. Jiang, H. W. Li, A. Laing, J. G. Rarity, A. O. Niskanen, M. G. Thompson, and J. L. O’Brien, “Reference-frame-independent quantum-key-distribution server with a telecom tether for an on-chip client,” Phys. Rev. Lett. 112, 130501 (2014).
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P. J. Mosley, J. S. Lundeen, B. J. Smith, P. Wasylczyk, A. B. U’Ren, C. Silberhorn, and I. A. Walmsley, “Heralded generation of ultrafast single photons in pure quantum states,” Phys. Rev. Lett. 100, 133601 (2008).
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[Crossref] [PubMed]

Villoresi, P.

G. Vallone, V. D’Ambrosio, A. Sponselli, S. Slussarenko, L. Marrucci, F. Sciarrino, and P. Villoresi, “Free-space quantum key distribution by rotation-invariant twisted photons,” Phys. Rev. Lett. 113, 060503 (2014).
[Crossref] [PubMed]

Wabnig, J.

P. Zhang, K. Aungskunsiri, E. Martín-López, J. Wabnig, M. Lobino, R. W. Nock, J. Munns, D. Bonneau, P. Jiang, H. W. Li, A. Laing, J. G. Rarity, A. O. Niskanen, M. G. Thompson, and J. L. O’Brien, “Reference-frame-independent quantum-key-distribution server with a telecom tether for an on-chip client,” Phys. Rev. Lett. 112, 130501 (2014).
[Crossref] [PubMed]

J. Wabnig, D. Bitauld, H. Li, A. Laing, J. O’Brien, and A. Niskanen, “Demonstration of free-space reference frame independent quantum key distribution,” New J. Phys. 15, 073001 (2013).
[Crossref]

Wadsworth, W.

B. Bell, A. Clark, M. Tame, M. Halder, J. Fulconis, W. Wadsworth, and J. Rarity, “Experimental characterization of photonic fusion using fiber sources,” New J. Phys. 14, 023021 (2012).
[Crossref]

Walmsley, I. A.

P. J. Mosley, J. S. Lundeen, B. J. Smith, P. Wasylczyk, A. B. U’Ren, C. Silberhorn, and I. A. Walmsley, “Heralded generation of ultrafast single photons in pure quantum states,” Phys. Rev. Lett. 100, 133601 (2008).
[Crossref] [PubMed]

Wasilewski, W.

K. Banaszek, A. Dragan, W. Wasilewski, and C. Radzewicz, “Experimental demonstration of entanglement-enhanced classical communication over a quantum channel with correlated noise,” Phys. Rev. Lett. 92, 257901 (2004).
[Crossref] [PubMed]

Wasylczyk, P.

P. J. Mosley, J. S. Lundeen, B. J. Smith, P. Wasylczyk, A. B. U’Ren, C. Silberhorn, and I. A. Walmsley, “Heralded generation of ultrafast single photons in pure quantum states,” Phys. Rev. Lett. 100, 133601 (2008).
[Crossref] [PubMed]

Weinfurter, H.

M. Bourennane, M. Eibl, S. Gaertner, C. Kurtsiefer, A. Cabello, and H. Weinfurter, “Decoherence-free quantum information processing with four-photon entangled states,” Phys. Rev. Lett. 92, 107901 (2004).
[Crossref] [PubMed]

White, A. G.

D. F. V. James, P. G. Kwiat, W. J. Munro, and A. G. White, “Measurement of qubits,” Phys. Rev. A 64, 052312 (2001).
[Crossref]

P. G. Kwiat, A. J. Berglund, J. B. Altepeter, and A. G. White, “Experimental verification of decoherence-free subspaces,” Science 290, 498–501 (2000).
[Crossref] [PubMed]

Wiesner, S. J.

C. H. Bennett and S. J. Wiesner, “Communication via one- and two-particle operators on einstein-podolsky-rosen states,” Phys. Rev. Lett. 69, 2881–2884 (1992).
[Crossref] [PubMed]

Wootters, W. K.

C. H. Bennett, D. P. DiVincenzo, J. A. Smolin, and W. K. Wootters, “Mixed-state entanglement and quantum error correction,” Phys. Rev. A 54, 3824–3851 (1996).
[Crossref] [PubMed]

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] [PubMed]

Wu, L.-A.

L.-A. Wu, P. Zanardi, and D. A. Lidar, “Holonomic quantum computation in decoherence-free subspaces,” Phys. Rev. Lett. 95, 130501 (2005).
[Crossref] [PubMed]

Yamamoto, T.

H. Kumagai, T. Yamamoto, M. Koashi, and N. Imoto, “Robustness of quantum communication based on a decoherence-free subspace using a counter-propagating weak coherent light pulse,” Phys. Rev. A 87, 052325 (2013).
[Crossref]

R. Ikuta, Y. Ono, T. Tashima, T. Yamamoto, M. Koashi, and N. Imoto, “Efficient decoherence-free entanglement distribution over lossy quantum channels,” Phys. Rev. Lett. 106, 110503 (2011).
[Crossref] [PubMed]

T. Yamamoto, K. Hayashi, Ş. K. Özdemir, M. Koashi, and N. Imoto, “Robust photonic entanglement distribution by state-independent encoding onto decoherence-free subspace,” Nat. Photonics 2, 488–491 (2008).
[Crossref]

T. Yamamoto, R. Nagase, J. Shimamura, Ş. K. Özdemir, M. Koashi, and N. Imoto, “Experimental ancilla-assisted qubit transmission against correlated noise using quantum parity checking,” New J. Phys. 9, 191 (2007).
[Crossref]

T. Yamamoto, M. Koashi, Ş. K. Özdemir, and N. Imoto, “Experimental extraction of an entangled photon pair from two identically decohered pairs,” Nature 421, 343–346 (2003).
[Crossref] [PubMed]

T. Yamamoto, M. Koashi, and N. Imoto, “Concentration and purification scheme for two partially entangled photon pairs,” Phys. Rev. A 64, 012304 (2001).
[Crossref]

Yang, T.

Z. Zhao, T. Yang, Y.-A. Chen, A.-N. Zhang, and J.-W. Pan, “Experimental realization of entanglement concentration and a quantum repeater,” Phys. Rev. Lett. 90, 207901 (2003).
[Crossref] [PubMed]

Zanardi, P.

L.-A. Wu, P. Zanardi, and D. A. Lidar, “Holonomic quantum computation in decoherence-free subspaces,” Phys. Rev. Lett. 95, 130501 (2005).
[Crossref] [PubMed]

Zbinden, H.

D. Stucki, N. Gisin, O. Guinnard, G. Ribordy, and H. Zbinden, “Quantum key distribution over 67 km with a plug & play system,” New J. Phys. 4, 41 (2002).
[Crossref]

Zeilinger, A.

R. Prevedel, M. S. Tame, A. Stefanov, M. Paternostro, M. S. Kim, and A. Zeilinger, “Experimental demonstration of decoherence-free one-way information transfer,” Phys. Rev. Lett. 99, 250503 (2007).
[Crossref]

J.-W. Pan, C. Simon, c. Brukner, and A. Zeilinger, “Entanglement purification for quantum communication,” Nature 410, 1067–1070 (2001).
[Crossref] [PubMed]

Zhan, M. S.

Z. Zhao, J.-W. Pan, and M. S. Zhan, “Practical scheme for entanglement concentration,” Phys. Rev. A 64, 014301 (2001).
[Crossref]

Zhang, A.-N.

Z. Zhao, T. Yang, Y.-A. Chen, A.-N. Zhang, and J.-W. Pan, “Experimental realization of entanglement concentration and a quantum repeater,” Phys. Rev. Lett. 90, 207901 (2003).
[Crossref] [PubMed]

Zhang, P.

P. Zhang, K. Aungskunsiri, E. Martín-López, J. Wabnig, M. Lobino, R. W. Nock, J. Munns, D. Bonneau, P. Jiang, H. W. Li, A. Laing, J. G. Rarity, A. O. Niskanen, M. G. Thompson, and J. L. O’Brien, “Reference-frame-independent quantum-key-distribution server with a telecom tether for an on-chip client,” Phys. Rev. Lett. 112, 130501 (2014).
[Crossref] [PubMed]

Zhao, Z.

Z. Zhao, T. Yang, Y.-A. Chen, A.-N. Zhang, and J.-W. Pan, “Experimental realization of entanglement concentration and a quantum repeater,” Phys. Rev. Lett. 90, 207901 (2003).
[Crossref] [PubMed]

Z. Zhao, J.-W. Pan, and M. S. Zhan, “Practical scheme for entanglement concentration,” Phys. Rev. A 64, 014301 (2001).
[Crossref]

Nat. Photonics (1)

T. Yamamoto, K. Hayashi, Ş. K. Özdemir, M. Koashi, and N. Imoto, “Robust photonic entanglement distribution by state-independent encoding onto decoherence-free subspace,” Nat. Photonics 2, 488–491 (2008).
[Crossref]

Nature (2)

J.-W. Pan, C. Simon, c. Brukner, and A. Zeilinger, “Entanglement purification for quantum communication,” Nature 410, 1067–1070 (2001).
[Crossref] [PubMed]

T. Yamamoto, M. Koashi, Ş. K. Özdemir, and N. Imoto, “Experimental extraction of an entangled photon pair from two identically decohered pairs,” Nature 421, 343–346 (2003).
[Crossref] [PubMed]

New J. Phys. (4)

D. Stucki, N. Gisin, O. Guinnard, G. Ribordy, and H. Zbinden, “Quantum key distribution over 67 km with a plug & play system,” New J. Phys. 4, 41 (2002).
[Crossref]

T. Yamamoto, R. Nagase, J. Shimamura, Ş. K. Özdemir, M. Koashi, and N. Imoto, “Experimental ancilla-assisted qubit transmission against correlated noise using quantum parity checking,” New J. Phys. 9, 191 (2007).
[Crossref]

J. Wabnig, D. Bitauld, H. Li, A. Laing, J. O’Brien, and A. Niskanen, “Demonstration of free-space reference frame independent quantum key distribution,” New J. Phys. 15, 073001 (2013).
[Crossref]

B. Bell, A. Clark, M. Tame, M. Halder, J. Fulconis, W. Wadsworth, and J. Rarity, “Experimental characterization of photonic fusion using fiber sources,” New J. Phys. 14, 023021 (2012).
[Crossref]

Phys. Rev. A (9)

T. B. Pittman, B. C. Jacobs, and J. D. Franson, “Probabilistic quantum logic operations using polarizing beam splitters,” Phys. Rev. A 64, 062311 (2001).
[Crossref]

D. F. V. James, P. G. Kwiat, W. J. Munro, and A. G. White, “Measurement of qubits,” Phys. Rev. A 64, 052312 (2001).
[Crossref]

J. Řeháček, Z. Hradil, E. Knill, and A. I. Lvovsky, “Diluted maximum-likelihood algorithm for quantum tomog raphy,” Phys. Rev. A 75, 042108 (2007).
[Crossref]

A. Laing, V. Scarani, J. G. Rarity, and J. L. O’Brien, “Reference-frame-independent quantum key distribution,” Phys. Rev. A 82, 012304 (2010).
[Crossref]

H. Kumagai, T. Yamamoto, M. Koashi, and N. Imoto, “Robustness of quantum communication based on a decoherence-free subspace using a counter-propagating weak coherent light pulse,” Phys. Rev. A 87, 052325 (2013).
[Crossref]

T. Yamamoto, M. Koashi, and N. Imoto, “Concentration and purification scheme for two partially entangled photon pairs,” Phys. Rev. A 64, 012304 (2001).
[Crossref]

Z. Zhao, J.-W. Pan, and M. S. Zhan, “Practical scheme for entanglement concentration,” Phys. Rev. A 64, 014301 (2001).
[Crossref]

C. H. Bennett, D. P. DiVincenzo, J. A. Smolin, and W. K. Wootters, “Mixed-state entanglement and quantum error correction,” Phys. Rev. A 54, 3824–3851 (1996).
[Crossref] [PubMed]

C. H. Bennett, H. J. Bernstein, S. Popescu, and B. Schumacher, “Concentrating partial entanglement by local operations,” Phys. Rev. A 53, 2046–2052 (1996).
[Crossref] [PubMed]

Phys. Rev. Lett. (16)

D. Deutsch, A. Ekert, R. Jozsa, C. Macchiavello, S. Popescu, and A. Sanpera, “Quantum privacy amplification and the security of quantum cryptography over noisy channels,” Phys. Rev. Lett. 77, 2818–2821 (1996).
[Crossref] [PubMed]

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] [PubMed]

C. H. Bennett and S. J. Wiesner, “Communication via one- and two-particle operators on einstein-podolsky-rosen states,” Phys. Rev. Lett. 69, 2881–2884 (1992).
[Crossref] [PubMed]

C. H. Bennett, G. Brassard, and N. D. Mermin, “Quantum cryptography without bell’s theorem,” Phys. Rev. Lett. 68, 557–559 (1992).
[Crossref] [PubMed]

Z. Zhao, T. Yang, Y.-A. Chen, A.-N. Zhang, and J.-W. Pan, “Experimental realization of entanglement concentration and a quantum repeater,” Phys. Rev. Lett. 90, 207901 (2003).
[Crossref] [PubMed]

P. Zhang, K. Aungskunsiri, E. Martín-López, J. Wabnig, M. Lobino, R. W. Nock, J. Munns, D. Bonneau, P. Jiang, H. W. Li, A. Laing, J. G. Rarity, A. O. Niskanen, M. G. Thompson, and J. L. O’Brien, “Reference-frame-independent quantum-key-distribution server with a telecom tether for an on-chip client,” Phys. Rev. Lett. 112, 130501 (2014).
[Crossref] [PubMed]

G. Vallone, V. D’Ambrosio, A. Sponselli, S. Slussarenko, L. Marrucci, F. Sciarrino, and P. Villoresi, “Free-space quantum key distribution by rotation-invariant twisted photons,” Phys. Rev. Lett. 113, 060503 (2014).
[Crossref] [PubMed]

K. Banaszek, A. Dragan, W. Wasilewski, and C. Radzewicz, “Experimental demonstration of entanglement-enhanced classical communication over a quantum channel with correlated noise,” Phys. Rev. Lett. 92, 257901 (2004).
[Crossref] [PubMed]

R. Prevedel, M. S. Tame, A. Stefanov, M. Paternostro, M. S. Kim, and A. Zeilinger, “Experimental demonstration of decoherence-free one-way information transfer,” Phys. Rev. Lett. 99, 250503 (2007).
[Crossref]

M. Mohseni, J. S. Lundeen, K. J. Resch, and A. M. Steinberg, “Experimental application of decoherence-free subspaces in an optical quantum-computing algorithm,” Phys. Rev. Lett. 91, 187903 (2003).
[Crossref] [PubMed]

J. E. Ollerenshaw, D. A. Lidar, and L. E. Kay, “Magnetic resonance realization of decoherence-free quantum computation,” Phys. Rev. Lett. 91, 217904 (2003).
[Crossref] [PubMed]

L.-A. Wu, P. Zanardi, and D. A. Lidar, “Holonomic quantum computation in decoherence-free subspaces,” Phys. Rev. Lett. 95, 130501 (2005).
[Crossref] [PubMed]

M. Bourennane, M. Eibl, S. Gaertner, C. Kurtsiefer, A. Cabello, and H. Weinfurter, “Decoherence-free quantum information processing with four-photon entangled states,” Phys. Rev. Lett. 92, 107901 (2004).
[Crossref] [PubMed]

R. Ikuta, Y. Ono, T. Tashima, T. Yamamoto, M. Koashi, and N. Imoto, “Efficient decoherence-free entanglement distribution over lossy quantum channels,” Phys. Rev. Lett. 106, 110503 (2011).
[Crossref] [PubMed]

C. K. Hong, Z. Y. Ou, and L. Mandel, “Measurement of subpicosecond time intervals between two photons by interference,” Phys. Rev. Lett. 59, 2044–2046 (1987).
[Crossref] [PubMed]

P. J. Mosley, J. S. Lundeen, B. J. Smith, P. Wasylczyk, A. B. U’Ren, C. Silberhorn, and I. A. Walmsley, “Heralded generation of ultrafast single photons in pure quantum states,” Phys. Rev. Lett. 100, 133601 (2008).
[Crossref] [PubMed]

Science (1)

P. G. Kwiat, A. J. Berglund, J. B. Altepeter, and A. G. White, “Experimental verification of decoherence-free subspaces,” Science 290, 498–501 (2000).
[Crossref] [PubMed]

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Figures (5)

Fig. 1
Fig. 1

The schematic diagram of the entanglement extraction protocol. Alice generates two polarization entangled photon pairs and sends halves of the photon pairs to Bob through the collective phase-damping channel (CPC). When Alice performs the quantum parity check (QPC) on the two photons in modes 1 and 3, and Bob performs a projection on the photon in mode 4, a maximally entangled photon pair is shared in mode 2 and mode 5.

Fig. 2
Fig. 2

(a) The experimental setup for the entanglement extraction. The half wave plate R90 transforms |H〉 to |V〉 and vice versa. The half wave plate R45 transforms |H〉 to |+〉 and |V〉 to |−〉, and vice versa. HWP is a half wave plate and QWP is a quarter wave plate. (b) The experimental setup of photon sources A or B. The pulsed pump light (519 nm) is obtained by frequency doubling the output light of the mode locked fiber laser at 1037 nm. The details are shown in the main text.

Fig. 3
Fig. 3

The real parts and the imaginary parts of the matrix elements of (a) ρ ^ 12, (b) ρ ^ 34, (c) ρ ^ 12 and (d) ρ ^ 34.

Fig. 4
Fig. 4

The observed Hong-Ou-Mandel interference between two visible photons in modes 1 and 3. Each point was recorded for 1.0 × 104 s. The red solid curve is the Gaussian fit to the obtained data. The blue dashed curve is obtained by Eq. (4) with experimental parameters.

Fig. 5
Fig. 5

(left) the real part and (right) imaginary part of the density operator ρ ^ final of the extracted photon pair.

Equations (4)

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

ρ ^ 1234 = 1 2 π d θ Z ^ 2 ( θ ) Z ^ 4 ( θ ) ρ ^ 1234 Z ^ 2 ( θ ) Z ^ 4 ( θ )
= ( | HHHH HHHH | + | HHVV HHVV | + | HHVV VVHH | + | VVHH HHVV | + | VVHH VVHH | + | VVVV VVVV | ) / 4.
| ψ i j d ω d ω Φ ( ω , ω ) a ^ i ( ω ) a ^ j ( ω ) | vac ,
P 1234 1 δ ω P 2 ( δ ω P 2 + δ ω V 2 + δ ω t 2 ) ( δ ω V 2 + δ ω P 2 ) ( δ ω t 2 + δ ω P 2 ) e δ ω V 2 δ ω P 2 τ 2 δ ω V 2 + δ ω P 2 .

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