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The data processing inequality is the most basic requirement for any meaningful measure of information.
Quantum Brascamp-Lieb Dualities, 2019
Mario Berta, David Sutter, and Michael Walter · 1909
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The theory of groups and quantum mechanics
Hermann Weyl · 1950
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On the repeated measurement of continuous observables in quantum mechanics
E Brian Davies · 1970
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Broadcast channels
Thomas Cover · 1972
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Random coding theorem for broadcast channels with degraded components
P Bergmans · 1973
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Entropy, information and quantum measurements
Göran Lindblad · 1973
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Expectations and entropy inequalities for finite quantum systems
Göran Lindblad · 1974
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Spreading of sets in product spaces and hypercontraction of the markov operator
Rudolf Ahlswede and Peter Gács · 1976
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Comparison of two noisy channels
J Korner and K Marton · 1977
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Broadcast channels with confidential messages
Imre Csiszár and Janos Korner · 1978
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A coding theorem for the discrete memoryless broadcast channel
Katalin Marton · 1979
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Sufficient subalgebras and the relative entropy of states of a von neumann algebra
Denes Petz · 1986
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The proper formula for relative entropy and its asymptotics in quantum probability
Fumio Hiai and Dénes Petz · 1991
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Relative entropy under mappings by stochastic matrices
Joel E Cohen, Yoh Iwasa, Gh Rautu, Mary Beth Ruskai, Eugene Seneta, and Gh Zbaganu · 1993
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A note on covariant dynamical semigroups
Alexander S Holevo · 1993
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Quantum Entropy and Its Use
M. Ohya and D. Petz · 1993
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Equivalence of certain entropy contraction coefficients
Man-Duen Choi, Mary Beth Ruskai, and Eugene Seneta · 1994
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An extended Cencov characterization of the information metric
LL Campbel · 1996
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Logarithmic Sobolev inequalities for finite Markov chains
P. Diaconis and L. Saloff-Coste · 1996
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Covariant quantum markovian evolutions
Alexander S Holevo · 1996
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Remarques sur l’hypercontractivité et l’évolution de l’entropie pour des chaînes de markov finies
Laurent Miclo · 1997
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Comparisons of stochastic matrices with applications in information theory, statistics, economics and population
Joel Cohen, Johannes HB Kempermann, and Gheorghe Zbaganu · 1998
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Hypercontractivity in Noncommutative Lp Spaces
Robert Olkiewicz and Bogusław Zegarlinski · 1998
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Hypercontractivity in noncommutative LpSpaces
Robert Olkiewicz and Bogusław Zegarlinski · 1998
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Reduction criterion of separability and limits for a class of distillation protocols
Michał Horodecki and Paweł Horodecki · 1999
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Monotone riemannian metrics and relative entropy on noncommutative probability spaces
Andrew Lesniewski and Mary Beth Ruskai · 1999
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Monotone Riemannian metrics and relative entropy on noncommutative probability spaces
Andrew Lesniewski and Mary Beth Ruskai · 1999
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Statistical decision rules and optimal inference
Nikolai Nikolaevich Cencov · 2000
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Strong converse and Stein’s lemma in quantum hypothesis testing
Tomohiro Ogawa and Hiroshi Nagaoka · 2000
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On contraction properties of Markov kernels
Pierre Del Moral, Michel Ledoux, and Laurent Miclo · 2003
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Minimum output entropy of bosonic channels: a conjecture
Vittorio Giovannetti, Saikat Guha, Seth Lloyd, Lorenzo Maccone, and Jeffrey H Shapiro · 2004
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On relations between the relative entropy and
Tomohiro Nishiyama and Igal Sason · 2004
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A sharp continuity estimate for the von Neumann entropy
Koenraad M R Audenaert · 2007
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Classical capacity of bosonic broadcast communication and a minimum output entropy conjecture
Saikat Guha, Jeffrey H Shapiro, and Baris I Erkmen · 2007
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Quantum systems, channels, information: a mathematical introduction
Alexander S Holevo · 2012
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Private and quantum capacities of more capable and less noisy quantum channels
Shun Watanabe · 2012
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Sandwiched Rényi divergence satisfies data processing inequality
The conditional entropy power inequality for quantum additive noise channels
Giacomo De Palma and Stefan Huber · 2018
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The conditional entropy power inequality for bosonic quantum systems
Giacomo De Palma and Dario Trevisan · 2018
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Bounds on information combining with quantum side information
Christoph Hirche and David Reeb · 2018
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Approaches for approximate additivity of the holevo information of quantum channels
Felix Leditzky, Eneet Kaur, Nilanjana Datta, and Mark M Wilde · 2018
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Dephrasure channel and superadditivity of coherent information
Felix Leditzky, Debbie Leung, and Graeme Smith · 2018
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Comparison of channels: criteria for domination by a symmetric channel
Anuran Makur and Yury Polyanskiy · 2018
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Salman Beigi · 2013
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On dimension bounds for auxiliary quantum systems
Salman Beigi and Amin Gohari · 2013
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Quantum logarithmic Sobolev inequalities and rapid mixing
Michael J. Kastoryano and Kristan Temme · 2013
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On quantum Rényi entropies: A new generalization and some properties
Martin Muller-Lennert, Frédéric Dupuis, Oleg Szehr, Serge Fehr, and Marco Tomamichel · 2013
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Logarithmic sobolev inequalities and strong data processing theorems for discrete channels
Maxim Raginsky · 2013
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Quantum information theory
Mark M Wilde · 2013
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Universal polar codes for more capable and less noisy channels and sources
David Sutter and Joseph M Renes · 2014
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Sandwiched rényi convergence for quantum evolutions
Alexander Müller-Hermes and Daniel Stilck Franca · 2018
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The theory of quantum information
John Watrous · 2018
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Optimized quantum f-divergences and data processing
Mark M Wilde · 2018
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Tensorization of the strong data processing inequality for quantum chi-square divergences
Yu Cao and Jianfeng Lu · 2019
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Convexity and operational interpretation of the quantum information bottleneck function
Nilanjana Datta, Christoph Hirche, and Andreas Winter · 2019
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New lower bounds to the output entropy of multi-mode quantum gaussian channels
G. De Palma · 2019
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Relationships between certain f-divergences
James Melbourne, Mokshay Madiman, and Murti V Salapaka · 2019
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A new lower bound for kullback-leibler divergence based on hammersley-chapman-robbins bound
Tomohiro Nishiyama · 2019
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Quantum reverse hypercontractivity: Its tensorization and application to strong converses
Salman Beigi, Nilanjana Datta, and Cambyse Rouzé · 2020
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Recovery map stability for the data processing inequality
Eric A Carlen and Anna Vershynina · 2020
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Quantum flags and new bounds on the quantum capacity of the depolarizing channel
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An alphabet-size bound for the information bottleneck function
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Quantum blahut-arimoto algorithms
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Non-additivity in classical-quantum wiretap channels
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Amortized channel divergence for asymptotic quantum channel discrimination
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in preparation
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Limitations of optimization algorithms on noisy quantum devices
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Can error mitigation improve trainability of noisy variational quantum algorithms?, 2021
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Noise-induced barren plateaus in variational quantum algorithms
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Pursuing the fundamental limits for quantum communication
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