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All correlation measures, classical and quantum, must be monotonic under local operations.
E. Sperner, “Ein satz über untermengen einer endlichen menge,” Mathematische Zeitschrift , vol. 27, no. 1, pp. 544–548, Dec. 1928. [Online]. Available: https://doi.org/10.1007/BF01171114
1928
Earlier work this paper cites.
C. E. Shannon, “A mathematical theory of communication,” The Bell System Technical Journal , vol. 27, no. 3, pp. 379–423, 7 1948. [Online]. Available: https://ieeexplore.ieee.org/document/6773024/
1948
Earlier work this paper cites.
W. F. Stinespring, “Positive functions on C ∗ C^{*} -algebras,” Proc. Amer. Math. Soc. , vol. 6, pp. 211–216, 1955. [Online]. Available: https://doi.org/10.2307/2032342
1955
Earlier work this paper cites.
E. H. Lieb and M. B. Ruskai, “Proof of the strong subadditivity of quantum‐mechanical entropy,” Journal of Mathematical Physics , vol. 14, no. 12, pp. 1938–1941, 1973. [Online]. Available: https://doi.org/10.1063/1.1666274
1973
Earlier work this paper cites.
G. Lindblad, “Completely positive maps and entropy inequalities,” Comm. Math. Phys. , vol. 40, no. 2, pp. 147–151, 1975. [Online]. Available: https://projecteuclid.org:443/euclid.cmp/1103860462
1975
Earlier work this paper cites.
S. Fujishige, “Polymatroidal dependence structure of a set of random variables,” Information and Control , vol. 39, no. 1, pp. 55 – 72, 1978. [Online]. Available: http://www.sciencedirect.com/science/article/pii/S001999587891063X
1978
Earlier work this paper cites.
T. S. Han, “Nonnegative entropy measures of multivariate symmetric correlations,” Information and Control , vol. 36, no. 2, pp. 133 – 156, 1978. [Online]. Available: http://www.sciencedirect.com/science/article/pii/S0019995878902759
1978
Earlier work this paper cites.
A. Shamir, “How to share a secret,” Commun. ACM , vol. 22, no. 11, pp. 612–613, Nov. 1979. [Online]. Available: http://doi.acm.org/10.1145/359168.359176
1979
Earlier work this paper cites.
G. Blakley, in Proceedings of the 1979 AFIPS National Computer Conference , Monval, NJ, USA, pp. 313–317
1979
Earlier work this paper cites.
M. Ito, A. Saito, and T. Nishizeki, “Secret sharing scheme realizing general access structure,” Electronics and Communications in Japan (Part III: Fundamental Electronic Science) , vol. 72, no. 9, pp. 56–64, 1989. [Online]. Available: https://onlinelibrary.wiley.com/doi/abs/10.1002/ecjc.4430720906
1989
Earlier work this paper cites.
B. Schumacher, “Quantum coding,” Phys. Rev. A , vol. 51, pp. 2738–2747, Apr 1995. [Online]. Available: https://link.aps.org/doi/10.1103/PhysRevA.51.2738
1995
Cited alongside, same era.
K. Fukuda and A. Prodon, “Double description method revisited,” in Combinatorics and Computer Science , M. Deza, R. Euler, and I. Manoussakis, Eds. Berlin, Heidelberg: Springer Berlin Heidelberg, 1996, pp. 91–111
1996
Cited alongside, same era.
Z. Zhang and R. W. Yeung, “A non-shannon-type conditional inequality of information quantities,” IEEE Transactions on Information Theory , vol. 43, no. 6, pp. 1982–1986, Nov 1997
1997
Cited alongside, same era.
G. Vidal, “Entanglement monotones,” Journal of Modern Optics , vol. 47, no. 2-3, pp. 355–376, 2000. [Online]. Available: https://www.tandfonline.com/doi/abs/10.1080/09500340008244048
2000
Cited alongside, same era.
M. B. Plenio and S. Virmani, “An introduction to entanglement measures,” Quant. Inf. Comput. , vol. 7, pp. 1–51, 2007
2007
Later among the works it cites.
M. Horodecki, J. Oppenheim, and A. Winter, “Quantum State Merging and Negative Information,” Communications in Mathematical Physics , vol. 269, pp. 107–136, Jan. 2007
2007
Later among the works it cites.
B. Ibinson, N. Linden, and A. Winter, “All inequalities for the relative entropy,” Communications in Mathematical Physics , vol. 269, no. 1, pp. 223–238, Jan 2007. [Online]. Available: https://doi.org/10.1007/s00220-006-0081-6
2007
Later among the works it cites.
B. Ibinson, N. Linden, and A. Winter, “Robustness of quantum markov chains,” Communications in Mathematical Physics , vol. 277, no. 2, pp. 289–304, Jan 2008. [Online]. Available: https://doi.org/10.1007/s00220-007-0362-8
2008
Later among the works it cites.
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H. Barnum, E. Knill, and M. A. Nielsen, “On quantum fidelities and channel capacities,” IEEE Transactions on Information Theory , vol. 46, no. 4, pp. 1317–1329, July 2000
2000
Cited alongside, same era.
C. H. Bennett, P. W. Shor, J. A. Smolin, and A. V. Thapliyal, “Entanglement-assisted capacity of a quantum channel and the reverse shannon theorem,” IEEE Transactions on Information Theory , vol. 48, no. 10, pp. 2637–2655, Oct 2002
2002
Cited alongside, same era.
N. J. Cerf, S. Massar, and S. Schneider, “Multipartite classical and quantum secrecy monotones,” Phys. Rev. A , vol. 66, p. 042309, Oct 2002. [Online]. Available: https://link.aps.org/doi/10.1103/PhysRevA.66.042309
2002
Cited alongside, same era.
N. Pippenger, “The inequalities of quantum information theory,” IEEE Transactions on Information Theory , vol. 49, no. 4, pp. 773–789, April 2003
2003
Cited alongside, same era.
N. Linden and A. Winter, “A new inequality for the von neumann entropy,” Communications in Mathematical Physics , vol. 259, no. 1, pp. 129–138, Oct 2005. [Online]. Available: https://doi.org/10.1007/s00220-005-1361-2
2005
Cited alongside, same era.
T. M. Cover and J. A. Thomas, Elements of Information Theory (Wiley Series in Telecommunications and Signal Processing) . New York, NY, USA: Wiley-Interscience, 2006
2006
Cited alongside, same era.
A. Beimel, “Secret-sharing schemes: A survey,” in Proceedings of the Third International Conference on Coding and Cryptology , ser. IWCC’11. Berlin, Heidelberg: Springer-Verlag, 2011, pp. 11–46. [Online]. Available: http://dl.acm.org/citation.cfm?id=2017916.2017918
2011
Later among the works it cites.
F. G. S. L. Brandão, M. Horodecki, J. Oppenheim, J. M. Renes, and R. W. Spekkens, “Resource Theory of Quantum States Out of Thermal Equilibrium,” Phys. Rev. Lett. , vol. 111, p. 250404, Dec 2013. [Online]. Available: https://link.aps.org/doi/10.1103/PhysRevLett.111.250404
2013
Later among the works it cites.
F. G. S. L. Brandão and G. Gour, “Reversible Framework for Quantum Resource Theories,” Phys. Rev. Lett. , vol. 115, p. 070503, Aug 2015. [Online]. Available: https://link.aps.org/doi/10.1103/PhysRevLett.115.070503
2015
Later among the works it cites.
E. Chitambar and M.-H. Hsieh, “Relating the Resource Theories of Entanglement and Quantum Coherence,” Phys. Rev. Lett. , vol. 117, p. 020402, Jul 2016. [Online]. Available: https://link.aps.org/doi/10.1103/PhysRevLett.117.020402
2016
Later among the works it cites.
L. Gao, M. Junge, and N. Laracuente, “Heralded channel holevo superadditivity bounds from entanglement monogamy,” Journal of Mathematical Physics , vol. 59, no. 6, p. 062203, 2018. [Online]. Available: https://doi.org/10.1063/1.5011660
2018
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