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The data processing inequality is central to information theory and motivates the study of monotonic divergences.
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Information and information stability of random variables and processes (in russian)
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Imre Csiszár · 1967
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A lower bound for discrimination information in terms of variation (corresp.)
Solomon Kullback · 1967
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One-variable calculus, with an introduction to linear algebra , volume 1
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Johannes HB Kemperman · 1969
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Note on discrimination information and variation (corresp.)
Igor Vajda · 1970
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Roland L’vovich Dobrushin · 1970
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Expectations and entropy inequalities for finite quantum systems
Göran Lindblad · 1974
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Hans S Witsenhausen · 1975
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Dénes Petz · 1985
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Persi Diaconis and Daniel Stroock · 1991
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Eigenvalue bounds on convergence to stationarity for nonreversible Markov chains, with an application to the exclusion process
James Allen Fill · 1991
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Cornelius Gutenbrunner · 1992
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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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Statistical information and discrimination
Ferdinand Osterreicher and Igor Vajda · 1993
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Approximations of the spectral radius corresponding eigenvector, and second largest modulus of an eigenvalue for square, nonnegative, irreducible matrices
Orna Gross and Uriel G Rothblum · 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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Beyond strong subadditivity? improved bounds on the contraction of generalized relative entropy
Mary Beth Ruskai · 1994
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Matrix analysis , volume 169
Rajendra Bhatia · 1997
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Contraction of generalized relative entropy under stochastic mappings on matrices
Dénes Petz and Mary Beth Ruskai · 1998
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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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Broadcasting on trees and the ising model
William Evans, Claire Kenyon, Yuval Peres, and Leonard J Schulman · 2000
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Approximating csiszar f-divergence by the use of taylor’s formula with integral remainder
Neil S Barnett, Pietro Cerone, Sever Silvestru Dragomir, and Anthony Sofo · 2002
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Refinements of Pinsker’s inequality
Alexei A Fedotov, Peter Harremoës, and Flemming Topsoe · 2003
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On asymptotic properties of information-theoretic divergences
Mdel C Pardo and Igor Vajda · 2003
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Vector calculus
Jerrold E Marsden and Anthony Tromba · 2003
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The Analysis of Linear Partial Differential Operators I
Lars Hörmander · 2003
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Information theory and statistics: A tutorial
Imre Csiszár, Paul C Shields, et al · 2004
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Relative information of type s, csiszár’s f-divergence, and information inequalities
Inder Jeet Taneja and Pranesh Kumar · 2004
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A distribution dependent refinement of Pinsker’s inequality
Erik Ordentlich and Marcelo J Weinberger · 2005
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Elements of Information Theory
Thomas M. Cover and Joy A. Thomas · 2006
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On the minimum f-divergence for given total variation
Gustavo L Gilardoni · 2006
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Strong data-processing inequalities for channels and bayesian networks
Yury Polyanskiy and Yihong Wu · 2017
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Markov chains and mixing times , volume 107
David A Levin and Yuval Peres · 2017
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Different quantum f-divergences and the reversibility of quantum operations
Fumio Hiai and Milán Mosonyi · 2017
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On f-divergences: Integral representations, local behavior, and inequalities
Igal Sason · 2018
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Optimized quantum f-divergences and data processing
Mark M Wilde · 2018
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Sandwiched Rényi convergence for quantum evolutions
Alexander Müller-Hermes and Daniel Stilck Franca · 2018
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Corrigendum to the note “on the minimum f-divergence for given total variation”[cr acad. sci. paris, ser. i 343 (2006) 763–766]
Gustavo L Gilardoni · 2006
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On divergences and informations in statistics and information theory
Friedrich Liese and Igor Vajda · 2006
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Context tree estimation for not necessarily finite memory processes, via bic and mdl
Imre Csiszár and Zsolt Talata · 2006
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Non-negative matrices and Markov chains
Eugene Seneta · 2006
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Generalised pinsker inequalities
Mark D Reid and Robert C Williamson · 2009
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The Chernoff lower bound for symmetric quantum hypothesis testing
Michael Nussbaum and Arleta Szkoła · 2009
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The Theory of Quantum Information
John Watrous · 2018
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A new quantum version of f-divergence
Keiji Matsumoto · 2018
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Approximation of f-divergence measures by using two points taylor’s type representations with integral remainders
Sever S Dragomir · 2019
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A note on reverse Pinsker inequalities
Olivier Binette · 2019
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Information contraction and decomposition
Anuran Makur · 2019
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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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Principles of quantum communication theory: A modern approach
Sumeet Khatri and Mark M Wilde · 2020
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Comparison of contraction coefficients for f-divergences
Anuran Makur and Lizhong Zheng · 2020
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On relations between the relative entropy and χ \chi 2-divergence, generalizations and applications
Tomohiro Nishiyama and Igal Sason · 2020
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Entropy and relative entropy from information-theoretic principles
Gilad Gour and Marco Tomamichel · 2021
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Strong data processing constant is achieved by binary inputs
Or Ordentlich and Yury Polyanskiy · 2021
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On contraction coefficients, partial orders and approximation of capacities for quantum channels
Christoph Hirche, Cambyse Rouzé, and Daniel Stilck França · 2022
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A lower bound on the space overhead of fault-tolerant quantum computation
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Quantum differential privacy: An information theory perspective
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