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We are interested in the properties and relations of entanglement measures.
E. H. Lieb and M. B. Ruskai, “Proof of the strong subadditivity of quantum-mechanical entropy”, J. Math. Phys. 14
1973
Earlier work this paper cites.
G. Lindblad, “Completely positive maps and entropy inequalities”, Comm. Math. Phys. 40
1975
Earlier work this paper cites.
A. Uhlmann, “Relative entropy and the Wigner-Yanase-Dyson-Lieb concavity in an interpolation theory”, Comm. Math. Phys. 54
1977
Earlier work this paper cites.
F. Hiai and D. Petz, “The proper formula for relative entropy and its asymptotics in quantum probability”, Comm. Math. Phys. 143
1991
Earlier work this paper cites.
T. M. Cover and J. A. Thomas, Elements of Information Theory (New York: Wiley, 1991)
1991
Earlier work this paper cites.
V. Vedral, M. B. Plenio, M. A. Rippin and P. L. Knight, “Quantifying entanglement”, Phys. Rev. Lett. 78
1997
Earlier work this paper cites.
V. Vedral and M. B. Plenio, “Entanglement measures and purification procedures”, Phys. Rev. A 57
1998
Earlier work this paper cites.
M. Horodecki, P. Horodecki and R. Horodecki, “Mixed-state entanglement and distillation: Is there a ‘bound’ entanglement in nature?”, Phys. Rev. Lett. 80
1998
Earlier work this paper cites.
R. R. Tucci, “Quantum entanglement and conditional information transmission”, arXiv:quant-ph/9909041 (1999)
1999
Earlier work this paper cites.
U. M. Maurer and S. Wolf, “Unconditionally secure key agreement and the intrinsic conditional information”, IEEE Trans. Inf. Theory 45
1999
Earlier work this paper cites.
C. A. Fuchs and J. van de Graaf, “Cryptographic distinguishability measures for quantum-mechanical states”, IEEE. Tran. Inf. Theory 45
1999
Earlier work this paper cites.
A. Winter, “Coding theorem and strong converse for quantum channels”, IEEE. Tran. Inf. Theory 45
1999
Earlier work this paper cites.
M. Donald and M. Horodecki, “Continuity of relative entropy of entanglement”, Phys. Lett. A 264
1999
Earlier work this paper cites.
M. Horodecki and P. Horodecki, “Reduction criterion of separability and limits for a class of distillation protocols”, Phys. Rev. A 59
1999
Earlier work this paper cites.
T. Ogawa and H. Nagaoka, “Strong converse and Stein’s lemma in quantum hypothesis testing”, IEEE. Tran. Inf. Theory 46
2000
Earlier work this paper cites.
K. G. H. Vollbrecht and R. F. Werner, “Entanglement measures under symmetry”, Phys. Rev. A 64
2001
Cited alongside, same era.
R. R. Tucci, “Entanglement of distillation and conditional mutual information”, arXiv:quant-ph/0202144 (2002)
2002
Cited alongside, same era.
2003
Cited alongside, same era.
M. Christandl and A. Winter, “ ‘Squashed entanglement’ - an additive entanglement measure”, J. Math. Phys. 45
2004
Cited alongside, same era.
R. Alicki and M. Fannes, “Continuity of quantum conditional information”, J. Phys. A: Math. Gen. 37
2004
Cited alongside, same era.
F. G. S. L. Brandão and M. B. Plenio, “Entanglement theory and the second law of thermodynamics”, Nature Physics 4
2008
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W. Matthews and A. Winter, “On the Chernoff distance for asymptotic LOCC discrimination of bipartite quantum states”, Comm. Math. Phys. 285
2008
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D. Yang, M. Horodecki and Z. Wang, “An additive and operational entanglement measure: conditional entanglement of mutual information”, Phys. Rev. Lett. 101
2008
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R. Horodecki, P. Horodecki, M. Horodecki and K. Horodecki, “Quantum entanglement”, Rev. Mod. Phys. 81
2009
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J. Yard and I. Devetak, “Optimal quantum source coding with quantum information at the encoder and decoder”, IEEE Trans. Inf. Theory 55
2009
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M. Koashi and A. Winter, “Monogamy of entanglement and other correlations”, Phys. Rev. A 69
2004
Cited alongside, same era.
K. Horodecki, M. Horodecki, P. Horodecki and J. Oppenheim, “Secure key from bound entanglement”, Phys. Rev. Lett. 94
2005
Cited alongside, same era.
K. Horodecki, M. Horodecki, P. Horodecki and J. Oppenheim, “Locking entanglement measures with a single qubit”, Phys. Rev. Lett. 94
2005
Cited alongside, same era.
M. Christandl and A. Winter, “Uncertainty, monogamy, and locking of quantum correlations”, IEEE Trans. Inf. Theory 51
2005
Cited alongside, same era.
M. Christandl, “The structure of bipartite quantum states – insights from group theory and cryptography”, Ph. D. thesis, University of Cambridge (2006); arXiv:quant-ph/0604183 (2006)
2006
Cited alongside, same era.
D. Yang, M. Horodecki and Z. Wang, “Conditional entanglement”, arXiv:quant-ph/0701149 (2007)
2007
Cited alongside, same era.
I. Devetak and J. Yard, “Exact cost of redistributing quantum states”, Phys. Rev. Lett. 100
2008
Cited alongside, same era.
W. Matthews, S. Wehner and A. Winter, “Distinguishability of quantum states under restricted families of measurements with an application to quantum data hiding”, Comm. Math. Phys. 291
2009
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M. Piani, “Relative entropy of entanglement and restricted measurements”, Phys. Rev. Lett. 103
2009
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D. Yang, K. Horodecki, M. Horodecki, P. Horodecki, J. Oppenheim and W. Song, “Squashed entanglement for multipartite states and entanglement measures based on the mixed convex roof”, IEEE Trans. Inf. Theory 55
2009
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M. B. Hastings, “Superadditivity of communication capacity using entangled inputs”, Nature Physics 5
2009
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F. G. S. L. Brandão and M. B. Plenio, “A reversible theory of entanglement and its relation to the second law”, Comm. Math. Phys. 295
2010
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F. G. S. L. Brandão and M. B. Plenio, “A generalization of quantum Stein’s lemma”, Comm. Math. Phys. 295
2010
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M. Christandl, N. Schuch and A. Winter, “Highly entangled states with almost no secrecy”, Phys. Rev. Lett. 104
2010
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F. G. S. L. Brandão, M. Christandl and J. Yard, “Faithful squashed entanglement”, Comm. Math. Phys. 306
2011
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M. Christandl, N. Schuch and A. Winter, “Entanglement of the antisymmetric state”, Comm. Math. Phys. 311
2012
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