Fetching the paper…
Reading the bibliography…
The quantum data processing inequality asserts that two quantum states become harder to distinguish when a noisy channel is applied.
“Completely positive maps and entropy inequalities”
G. Lindblad · 1975
Earlier work this paper cites.
Quantum Theory of Open Systems
E. B. Davies · 1976
Earlier work this paper cites.
“Relative entropy and the Wigner-Yanase-Dyson-Lieb concavity in an interpolation theory”
A. Uhlmann · 1977
Earlier work this paper cites.
“Quasi-entropies for States of a von Neumann Algebra”
D. Petz · 1985
Earlier work this paper cites.
“The proper formula for relative entropy and its asymptotics in quantum probability”
F. Hiai and D. Petz · 1991
Earlier work this paper cites.
“The proper formula for relative entropy and its asymptotics in quantum probability”
F. Hiai and D. Petz · 1991
Earlier work this paper cites.
“Capacity of the noisy quantum channel”
S. Lloyd · 1997
Earlier work this paper cites.
“Lecture Notes for Physics 229: Quantum Information and Computation”
J. Preskill · 1998
Earlier work this paper cites.
“Monotone Riemannian metrics and relative entropy on noncommutative probability spaces”
A. Lesniewski and M. B. Ruskai · 1999
Earlier work this paper cites.
“A reverse log-Sobolev inequality in the Segal-Bargmann space”
S. B. Sontz · 1999
Earlier work this paper cites.
“Strong converse and Stein’s lemma in quantum hypothesis testing”
T. Ogawa and H. Nagaoka · 2000
Earlier work this paper cites.
“The Quantum Channel Capacity and Coherent Information”
P. W. Shor · 2002
Earlier work this paper cites.
“An analysis of completely-positive trace-preserving maps on M2”
M. Beth Ruskai, S. Szarek, and E. Werner · 2002
Earlier work this paper cites.
“Monotonicity of quantum relative entropy revisited”
D. Petz · 2003
Earlier work this paper cites.
Quantum Entropy and Its Use
M. Ohya and D. Petz · 2004
Earlier work this paper cites.
“The Private Classical Capacity and Quantum Capacity of a Quantum Channel”
I. Devetak · 2005
Earlier work this paper cites.
“The Capacity of a Quantum Channel for Simultaneous Transmission of Classical and Quantum Information”
I. Devetak and P. W. Shor · 2005
Cited alongside, same era.
“Additive extensions of a quantum channel”
G. Smith and J. A. Smolin · 2008
Cited alongside, same era.
“A Quantum Version of Wielandt’s Inequality”
M. Sanz, D. Perez-Garcia, M. M. Wolf, and J. I. Cirac · 2010
Cited alongside, same era.
“Continuity bounds on the quantum relative entropy — II”
K. M. R. Audenaert and J. Eisert · 2011
Cited alongside, same era.
“Private and quantum capacities of more capable and less noisy quantum channels”
S. Watanabe · 2012
Cited alongside, same era.
“Contraction coefficients for noisy quantum channels”
F. Hiai and M. B. Ruskai · 2015
Cited alongside, same era.
“Computing Quantum Channel Capacities”
N. Ramakrishnan, R. Iten, V. B. Scholz, and M. Berta · 2021
Later among the works it cites.
“On contraction coefficients, partial orders and approximation of capacities for quantum channels”
C. Hirche, C. Rouzé, and D. Stilck França · 2022
Later among the works it cites.
“Complete Entropic Inequalities for Quantum Markov Chains”
L. Gao and C. Rouzé · 2022
Later among the works it cites.
“Information Fragility or Robustness Under Quantum Channels”
N. Laracuente and G. Smith · 2023
Later among the works it cites.
“Relative entropy decay and complete positivity mixing time”
L. Gao, M. Junge, N. LaRacuente, and H. Li · 2023
Later among the works it cites.
alphaXiv searches the wider corpus for related work and actual follow-ups.
alphaXiv is searching for related work…
“On Reverse Pinsker Inequalities”
I. Sason · 2015
Cited alongside, same era.
“Unbounded number of channel uses may be required to detect quantum capacity”
T. Cubitt, D. Elkouss, W. Matthews, M. Ozols, D. Pérez-García, and S. Strelchuk · 2015
Cited alongside, same era.
“ f f -Divergence Inequalities”
I. Sason and S. Verdu · 2016
Cited alongside, same era.
“Relative entropy convergence for depolarizing channels”
A. Müller-Hermes, D. Stilck França, and M. M. Wolf · 2016
Cited alongside, same era.
“Monotonicity of the Quantum Relative Entropy Under Positive Maps”
A. Müller-Hermes and D. Reeb · 2017
Cited alongside, same era.
“Uniform Additivity in Classical and Quantum Information”
A. Cross, K. Li, and G. Smith · 2017
Cited alongside, same era.
“Integral formula for quantum relative entropy implies data processing inequality”
P. E. Frenkel · 2023
Later among the works it cites.
“Quantum Differential Privacy: An Information Theory Perspective”
C. Hirche, C. Rouzé, and D. S. França · 2023
Later among the works it cites.
“Quantum Rényi and f-Divergences from Integral Representations”
C. Hirche and M. Tomamichel · 2024
Closest in time.
“Quantum Doeblin Coefficients: A Simple Upper Bound on Contraction Coefficients”
C. Hirche · 2024
Closest in time.
“Entropy Contractions in Markov Chains: Half-Step, Full-Step and Continuous-Time”
P. Caputo, Z. Chen, Y. Gu, and Y. Polyanskiy · 2024
Closest in time.
“Additivity of quantum capacities in simple non-degradable quantum channels”
G. Smith and P. Wu · 2024
Closest in time.
“Intertwining Curvature Bounds for Graphs and Quantum Markov Semigroups”
F. Münch, M. Wirth, and H. Zhang · 2024
Closest in time.
“Divergence Inequalities with Applications in Ergodic Theory”
I. George, A. Zheng, and A. Bansal · 2024
Closest in time.
“Maximum and minimum causal effects of physical processes”
G. Chiribella and K. Goswami · 2025
Closest in time.
“Fundamental Limit on the Power of Entanglement Assistance in Quantum Communication”
L. H. Wolff, P. Belzig, M. Christandl, B. Durhuus, and M. Tomamichel · 2025
Closest in time.