Fetching the paper…
Reading the bibliography…
The data processing inequality states that the quantum relative entropy between two states $\rho$ and $\sigma$ can never increase by applying the same quantum channel $\mathcal{N}$ to both states.
A convexity theorem for certain groups of transformations
I. I. Hirschman · 1952
Earlier work this paper cites.
Free states of the canonical anticommutation relations
R. T. Powers and E. Størmer · 1970
Earlier work this paper cites.
Two theorems about C p {C}_{p}
H. Grümm · 1973
Earlier work this paper cites.
A fundamental property of quantum-mechanical entropy
E. H. Lieb and M. B. Ruskai · 1973
Earlier work this paper cites.
Proof of the strong subadditivity of quantum-mechanical entropy
E. H. Lieb and M. B. Ruskai · 1973
Earlier work this paper cites.
Entropy, information and quantum measurements
G. Lindblad · 1973
Earlier work this paper cites.
Expectations and entropy inequalities for finite quantum systems
G. Lindblad · 1974
Earlier work this paper cites.
Completely positive maps and entropy inequalities
G. Lindblad · 1975
Earlier work this paper cites.
Principles of mathematical analysis
W. Rudin · 1976
Earlier work this paper cites.
The “transition probability” in the state space of a *-algebra
A. Uhlmann · 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.
Sufficient subalgebras and the relative entropy of states of a von Neumann algebra
D. Petz · 1986
Earlier work this paper cites.
Sufficiency of channels over von Neumann algebras
D. Petz · 1988
Earlier work this paper cites.
Quantum Entropy and Its Use
M. Ohya and D. Petz · 1993
Earlier work this paper cites.
Mixed-state entanglement and quantum error correction
C. H. Bennett, D. P. DiVincenzo, J. A. Smolin, and W. K. Wootters · 1996
Earlier work this paper cites.
Matrix Analysis
R. Bhatia · 1997
Cited alongside, same era.
Theory of quantum error-correcting codes
E. Knill and R. Laflamme · 1997
Cited alongside, same era.
Cryptographic distinguishability measures for quantum-mechanical states
C. Fuchs and J. van de Graaf · 1999
Cited alongside, same era.
Quantum Computation and Quantum Information
M. A. Nielsen and I. L. Chuang · 2000
Cited alongside, same era.
Reversing quantum dynamics with near-optimal quantum and classical fidelity
H. Barnum and E. Knill · 2002
Cited alongside, same era.
Inequalities for quantum entropy: A review with conditions for equality
M. B. Ruskai · 2002
Cited alongside, same era.
Quantum Systems, Channels, Information
A. S. Holevo · 2012
Later among the works it cites.
Towards a unified framework for approximate quantum error correction
P. Mandayam and H. K. Ng · 2012
Later among the works it cites.
A stronger subadditivity relation? With applications to squashed entanglement, sharability and separability, 2012
A. Winter and K. Li · 2012
Later among the works it cites.
Squashed entanglement, k-extendibility, quantum Markov chains, and recovery maps, 2014
K. Li and A. Winter · 2014
Later among the works it cites.
Monotonicity of quantum relative entropy and recoverability
M. Berta, M. Lemm, and M. M. Wilde · 2015
Closest in time.
alphaXiv searches the wider corpus for related work and actual follow-ups.
alphaXiv is searching for related work…
D. Petz · 2003
Cited alongside, same era.
Structure of sufficient quantum coarse-grainings
M. Mosonyi and D. Petz · 2004
Cited alongside, same era.
Trace Ideals and their Applications
B. Simon · 2005
Cited alongside, same era.
Sufficiency in quantum statistical inference
A. Jencǒvà and D. Petz · 2006
Cited alongside, same era.
Sufficiency in quantum statistical inference: A survey with examples
A. Jencǒvà and D. Petz · 2006
Cited alongside, same era.
A sharp continuity estimate for the von Neumann entropy
K. M. R. Audenaert · 2007
Cited alongside, same era.
F. G. S. L. Brandão, A. W. Harrow, J. Oppenheim, and S. Strelchuk · 2015
Closest in time.
Quantum conditional mutual information and approximate Markov chains
O. Fawzi and R. Renner · 2015
Closest in time.
Randomization theorems for quantum channels, 2015
A. Jencǒvà · 2015
Closest in time.
Rényi squashed entanglement, discord, and relative entropy differences
K. P. Seshadreesan, M. Berta, and M. M. Wilde · 2015
Closest in time.
Measures of quantum correlations in infinite-dimensional systems
M. E. Shirokov · 2015
Closest in time.
Recoverability in quantum information theory
M. M. Wilde · 2015
Closest in time.
Universal recovery map for approximate Markov chains
D. Sutter, O. Fawzi, and R. Renner · 2016
Closest in time.
Strengthened monotonicity of relative entropy via pinched Petz recovery map
D. Sutter, M. Tomamichel, and A. W. Harrow · 2016
Closest in time.
Tight uniform continuity bounds for quantum entropies: Conditional entropy, relative entropy distance and energy constraints
A. Winter · 2016
Closest in time.