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Many quantum information measures can be written as an optimization of the quantum relative entropy between sets of states.
Sufficiency of channels over von Neumann algebras
Dénes Petz · 1988
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Quantifying entanglement
Vlatko Vedral, Martin B. Plenio, Michael A. Rippin, and Peter L. Knight · 1997
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Entanglement-assisted capacity of a quantum channel and the reverse shannon theorem
Charles H. Bennett, Peter W. Shor, John A. Smolin, and Ashish V. Thapliyal · 2002
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Classical deterministic complexity of Edmonds’ problem and quantum entanglement
Leonid Gurvits · 2003
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Complete family of separability criteria
Andrew C. Doherty, Pablo A. Parrilo, and Federico M. Spedalieri · 2004
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The capacity of a quantum channel for simultaneous transmission of classical and quantum information
Igor Devetak and Peter W. Shor · 2005
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Information-capacity description of spin-chain correlations
Vittorio Giovannetti and Rosario Fazio · 2005
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Numerical estimation of the relative entropy of entanglement
Yuriy Zinchenko, Shmuel Friedland, and Gilad Gour · 2010
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Quantum channels and their entropic characteristics
Alexander S. Holevo and Vittorio Giovannetti · 2012
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Quantum systems, channels, information: a mathematical introduction
Alexander S. Holevo · 2013
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Venkat Chandrasekaran and Parikshit Shah · 2015
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Quantum conditional mutual information and approximate Markov chains
Omar Fawzi and Renato Renner · 2015
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Erratum: Numerical estimation of the relative entropy of entanglement [phys. rev. a 82, 052336 (2010)]
Mark W. Girard, Yuriy Zinchenko, Shmuel Friedland, and Gilad Gour · 2015
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Efficient approximation of quantum channel capacities
David Sutter, Tobias Sutter, Peyman Mohajerin Esfahani, and Renato Renner · 2016
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From classical to quantum Shannon theory
Mark M. Wilde · 2016
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Lieb’s concavity theorem, matrix geometric means, and semidefinite optimization
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David Sutter, Volkher B. Scholz, Andreas Winter, and Renato Renner · 2014
Cited alongside, same era.
Quantum conditional mutual information, reconstructed states, and state redistribution
Fernando G. S. L. Brandão, Aram W. Harrow, Jonathan Oppenheim, and Sergii Strelchuk · 2015
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Quantinf package for Matlab
Toby Cubitt
Cited in the paper.
Hamza Fawzi and James Saunderson · 2017
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Semidefinite approximations of the matrix logarithm
Hamza Fawzi, James Saunderson, and Pablo A. Parrilo · 2018
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