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We introduce symmetric extensions of bipartite quantum states as a tool for analyzing protocols that distill secret key from quantum correlations.
C. H. Bennett and G. Brassard, in Proceedings of IEEE International Conference on Computers, Systems, and Signal Processing, Bangalore, India (IEEE, New York, 1984), pp. 175–179
1984
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C. H. Bennett, G. Brassard, and N. D. Mermin, Quantum cryptography without Bell‘s theorem , Phys. Rev. Lett. 68
1992
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U. M. Maurer, Secret key agreement by public discussion from common information , IEEE Trans. Inf. Theory 39
1993
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C. H. Bennett, D. P. DiVincenzo, J. A. Smolin, and W. K. Wootters, Mixed state entanglement and quantum error correction , Phys. Rev. A 54
1996
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R. Horodecki and M. Horodecki, Information-theoretic aspects of inseparability of mixed states , Phys. Rev. A 54
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L. Vandenberghe and S. Boyd, Semidefinite programming , SIAM Review 38
1996
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M. Horodecki, P. Horodecki, and R. Horodecki, Separability of mixed states: necessary and sufficient conditions , Phys. Lett. A 223
1996
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D. Bruß, Optimal eavesdropping in quantum cryptography with six states , Phys. Rev. Lett. 81
1998
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F. Verstraete, J. Dehaene, and B. DeMoor, Local filtering operations on two qubits , Phys. Rev. A 64
2001
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H. F. Chau, Practical scheme to share a secret key through a quantum channel with a 27.6% bit error rate , Phys. Rev. A 66
2002
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A. C. Doherty, P. A. Parrilo, and F. M. Spedalieri, Distinguishing separable and entangled states , Phys. Rev. Lett. 88
2002
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B. M. Terhal, A. C. Doherty, and D. Schwab, Symmetric extensions of quantum states and local hidden variable theories , Phys. Rev. Lett. 90
2003
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D. Gottesman and H.-K. Lo, Proof of security of quantum key distribution with two-way classical communications , IEEE Trans. Inf. Theory 49
2003
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V. Scarani, A. Acín, G. Ribordy, and N. Gisin, Quantum cryptography protocols robust against photon number splitting attacks for weak laser pulse implementations , Phys. Rev. Lett. 92
2004
J. M. Renes, Spherical-code key-distribution protocols for qubits , Phys. Rev. A 70
2004
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K. Horodecki, M. Horodecki, P. Horodecki, and J. Oppenheim, Secure key from bound entanglement , Phys. Rev. Lett. 94
2005
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C. Portmann, Master’s thesis, ETH Zurich (2005)
2005
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T. Moroder, M. Curty, and N. Lütkenhaus, One-way quantum key distribution: Simple upper bound on the secret key rate , Phys. Rev. A 74
2006
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A. Acín, J. Bae, E. Bagan, M. Baig, L. Masanes, and R. Muñoz-Tapia, Secrecy properties of quantum channels , Phys. Rev. A 73
2006
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J. Bae and A. Acín, Key distillation from quantum channels using two-way communication protocols , Phys. Rev. A 75
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Cited alongside, same era.
S. Boyd and L. Vandenberghe, Convex Optimization (Cambridge University Press, Cambridge, 2004)
2004
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A. C. Doherty, P. A. Parrilo, and F. M. Spedalieri, Complete family of separability criteria , Phys. Rev. A 69
2004
Cited alongside, same era.
K. Gatermann and P. A. Parrilo, Symmetry groups, semidefinite programmings, and sums of squares , J. Pure Appl. Alg. 192
2004
Cited alongside, same era.
2007
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G. O. Myhr and N. Lütkenhaus, Spectrum conditions for symmetric extendible states (2008), eprint 0812.3667
2008
Closest in time.
M. L. Nowakowski and P. Horodecki, Simple test for quantum channel capacity , J. Phys. A: Math. Theor. 42
2009
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