Fetching the paper…
Reading the bibliography…
Recently, there has been focus on determining the conditions under which the data processing inequality for quantum relative entropy is satisfied with approximate equality.
A convexity theorem for certain groups of transformations
Isidore Isaac Hirschman · 1952
Earlier work this paper cites.
Conditional expectations in an operator algebra IV (entropy and information)
Hisaharu Umegaki · 1962
Earlier work this paper cites.
Mean entropy of states in classical statistical mechanics
Derek W. Robinson and David Ruelle · 1967
Earlier work this paper cites.
Mean entropy of states in quantum-statistical mechanics
Oscar Lanford III and Derek W. Robinson · 1968
Earlier work this paper cites.
Nonunitary Bogoliubov transformations and extension of Wick’s theorem
R. Balian and E. Brezin · 1969
Earlier work this paper cites.
On quasiequivalence of locally normal states
Alexander S. Holevo · 1972
Earlier work this paper cites.
Convex trace functions and the Wigner-Yanase-Dyson conjecture
Elliott H. Lieb · 1973
Earlier work this paper cites.
A fundamental property of quantum-mechanical entropy
Elliott H. Lieb and Mary Beth Ruskai · 1973
Earlier work this paper cites.
Proof of the strong subadditivity of quantum mechanical entropy
Elliott H. Lieb and Mary Beth Ruskai · 1973
Earlier work this paper cites.
Endlich dimensionale dichtmatrizen, ii
Armin Uhlmann · 1973
Earlier work this paper cites.
Expectations and entropy inequalities for finite quantum systems
Göran Lindblad · 1974
Earlier work this paper cites.
Completely positive maps and entropy inequalities
Göran Lindblad · 1975
Earlier work this paper cites.
Interpolation Spaces
J. Bergh and Jorgen Löfström · 1976
Earlier work this paper cites.
The “transition probability” in the state space of a *-algebra
Armin Uhlmann · 1976
Earlier work this paper cites.
Entropy, Information and Structure of Composite Quantum States
Milán Mosonyi · 1979
Earlier work this paper cites.
Sufficient subalgebras and the relative entropy of states of a von Neumann algebra
Denes Petz · 1986
Earlier work this paper cites.
Topological Vector Spaces
Nicolas Bourbaki · 1987
Earlier work this paper cites.
Sufficiency of channels over von Neumann algebras
Denes Petz · 1988
Earlier work this paper cites.
Quantum Entropy and Its Use
Masanori Ohya and Denes Petz · 1993
Earlier work this paper cites.
Quantum-noise matrix for multimode systems: U ( n ) U(n) invariance, squeezing, and normal forms
R. Simon, N. Mukunda, and Biswadeb Dutta · 1994
Earlier work this paper cites.
Quantum entanglement and conditional information transmission
Robert R. Tucci · 1999
Earlier work this paper cites.
Fidelity for multimode thermal squeezed states
Gh.-S. Paraoanu and Horia Scutaru · 2000
Earlier work this paper cites.
Bures fidelity for diagonalizable quadratic Hamiltonians in multi-mode systems
Xiang-Bin Wang, L. C. Kwek, and C. H. Oh · 2000
Earlier work this paper cites.
Mathematical Methods of Quantum Optics
Ravinder R. Puri · 2001
Earlier work this paper cites.
Entanglement generation and degradation by passive optical devices
Stefan Scheel and Dirk-Gunnar Welsch · 2001
Earlier work this paper cites.
Efficient classical simulation of optical quantum information circuits
Stephen D. Bartlett and Barry C. Sanders · 2002
Earlier work this paper cites.
Universal continuous-variable quantum computation: Requirement of optical nonlinearity for photon counting
Stephen D. Bartlett and Barry C. Sanders · 2002
Earlier work this paper cites.
Efficient classical simulation of continuous variable quantum information processes
Stephen D. Bartlett, Barry C. Sanders, Samuel L. Braunstein, and Kae Nemoto · 2002
Earlier work this paper cites.
Entanglement of distillation and conditional mutual information
Robert R. Tucci · 2002
Earlier work this paper cites.
Driving non-Gaussian to Gaussian states with linear optics
Daniel E. Browne, Jens Eisert, Stefan Scheel, and Martin B. Plenio · 2003
Earlier work this paper cites.
Structure of states which satisfy strong subadditivity of quantum entropy with equality
Patrick Hayden, Richard Jozsa, Denes Petz, and Andreas Winter · 2003
Earlier work this paper cites.
Monotonicity of quantum relative entropy revisited
Denes Petz · 2003
Earlier work this paper cites.
A Guide to Experiments in Quantum Optics
Hans-A. Bachor and Timothy C. Ralph · 2004
Earlier work this paper cites.
“Squashed entanglement” - an additive entanglement measure
Matthias Christandl and Andreas Winter · 2004
Earlier work this paper cites.
Classical capacity of the lossy bosonic channel: The exact solution
Vittorio Giovannetti, Saikat Guha, Seth Lloyd, Lorenzo Maccone, Jeffrey H. Shapiro, and Horace P. Yuen · 2004
Earlier work this paper cites.
Introductory Quantum Optics
Christopher Gerry and Peter Knight · 2004
Earlier work this paper cites.
Structure of sufficient quantum coarse-grainings
Milán Mosonyi and Dénes Petz · 2004
Cited alongside, same era.
Quantum information with continuous variables
Samuel L. Braunstein and Peter van Loock · 2005
Cited alongside, same era.
Gaussian relative entropy of entanglement
Xiao-yu Chen · 2005
Cited alongside, same era.
A simple proof of the strong subadditivity inequality
Michael A. Nielsen and Denés Petz · 2005
Cited alongside, same era.
Inequalities for quantum entropy: a review with conditions for equality
Mary Beth Ruskai · 2005
Cited alongside, same era.
Quantum Information Theory with Gaussian Systems
Ole Krueger · 2006
Cited alongside, same era.
Coarse-grained distinguishability of field interactions
Cédric Bény · 2015
Later among the works it cites.
Quantum conditional mutual information, reconstructed states, and state redistribution
Fernando G. S. L. Brandao, Aram W. Harrow, Jonathan Oppenheim, and Sergii Strelchuk · 2015
Later among the works it cites.
Rényi generalizations of the conditional quantum mutual information
Mario Berta, Kaushik Seshadreesan, and Mark M. Wilde · 2015
Later among the works it cites.
Rényi generalizations of quantum information measures
Mario Berta, Kaushik P. Seshadreesan, and Mark M. Wilde · 2015
Later among the works it cites.
Quantum conditional mutual information and approximate Markov chains
alphaXiv searches the wider corpus for related work and actual follow-ups.
alphaXiv is searching for related work…
Xiang-Bin Wang, Tohya Hiroshima, Akihisa Tomita, and Masahito Hayashi · 2007
Cited alongside, same era.
Multi-mode bosonic Gaussian channels
Filippo Caruso, Jens Eisert, Vittorio Giovannetti, and Alexander S. Holevo · 2008
Cited alongside, same era.
Exact cost of redistributing multipartite quantum states
Igor Devetak and Jon Yard · 2008
Cited alongside, same era.
Quantifying the non-Gaussian character of a quantum state by quantum relative entropy
Marco G. Genoni, Matteo G. A. Paris, and Konrad Banaszek · 2008
Cited alongside, same era.
Masahiro Takeoka and Masahide Sasaki · 2008
Cited alongside, same era.
A matrix convexity approach to some celebrated quantum inequalities
Edward G. Effros · 2009
Cited alongside, same era.
Omar Fawzi and Renato Renner · 2015
Later among the works it cites.
A solution of Gaussian optimizer conjecture for quantum channels
Vittorio Giovannetti, Alexander S. Holevo, and Raul Garcia-Patron · 2015
Later among the works it cites.
Universal recovery from a decrease of quantum relative entropy
Marius Junge, Renato Renner, David Sutter, Mark M. Wilde, and Andreas Winter · 2015
Later among the works it cites.
Normal form decomposition for Gaussian-to-Gaussian superoperators
Giacomo De Palma, Andrea Mari, Vittorio Giovannetti, and Alexander S. Holevo · 2015
Later among the works it cites.
Rényi squashed entanglement, discord, and relative entropy differences
Kaushik P. Seshadreesan, Mario Berta, and Mark M. Wilde · 2015
Later among the works it cites.
Recoverability in quantum information theory
Mark M. Wilde · 2015
Later among the works it cites.
Approximate reversibility in the context of entropy gain, information gain, and complete positivity
Francesco Buscemi, Siddhartha Das, and Mark M. Wilde · 2016
Later among the works it cites.
Frederic Dupuis and Mark M. Wilde · 2016
Later among the works it cites.
Conditional and unconditional Gaussian quantum dynamics
Marco G. Genoni, Ludovico Lami, and Alessio Serafini · 2016
Later among the works it cites.
Isaac H. Kim · 2016
Later among the works it cites.
Gaussian benchmark for optical communication aiming towards ultimate capacity
Jaehak Lee, Se-Wan Ji, Jiyong Park, and Hyunchul Nha · 2016
Later among the works it cites.
From clocks to cloners: Catalytic transformations under covariant operations and recoverability
Iman Marvian and Seth Lloyd · 2016
Later among the works it cites.
Stefano Pirandola, Riccardo Laurenza, Carlo Ottaviani, and Leonardo Banchi · 2016
Later among the works it cites.
One-mode quantum-limited Gaussian channels have Gaussian maximizers
Giacomo De Palma, Dario Trevisan, and Vittorio Giovannetti · 2016
Later among the works it cites.
Universal recovery map for approximate Markov chains
David Sutter, Omar Fawzi, and Renato Renner · 2016
Later among the works it cites.
Mixed s s -sourcery: Building many-body states using bubbles of nothing
Brian Swingle and John McGreevy · 2016
Later among the works it cites.
Strengthened monotonicity of relative entropy via pinched Petz recovery map
David Sutter, Marco Tomamichel, and Aram W. Harrow · 2016
Later among the works it cites.
Monotonicity of p p -norms of multiple operators via unitary swivels
Mark M. Wilde · 2016
Later among the works it cites.
Energy-constrained private and quantum capacities of quantum channels
Mark M. Wilde and Haoyu Qi · 2016
Later among the works it cites.
Entanglement and thermalization in open fermion systems
Cristian Zanoci and Brian G. Swingle · 2016
Later among the works it cites.
Dynamical maps, quantum detailed balance and Petz recovery map
Alvaro M. Alhambra and Mischa P. Woods · 2017
Closest in time.
Hamza Fawzi and Omar Fawzi · 2017
Closest in time.
Quantum resource theories in the single-shot regime
Gilad Gour · 2017
Closest in time.
Approximate reversal of quantum Gaussian dynamics
Ludovico Lami, Siddhartha Das, and Mark M. Wilde · 2017
Closest in time.
Information-theoretic limitations on approximate quantum cloning and broadcasting
Marius Lemm and Mark M. Wilde · 2017
Closest in time.
Gaussian states minimize the output entropy of one-mode quantum Gaussian channels
Giacomo De Palma, Dario Trevisan, and Vittorio Giovannetti · 2017
Closest in time.
Gaussian states minimize the output entropy of the one-mode quantum attenuator
Giacomo De Palma, Dario Trevisan, and Vittorio Giovannetti · 2017
Closest in time.
Capacities of quantum amplifier channels
Haoyu Qi and Mark M. Wilde · 2017
Closest in time.
Multivariate trace inequalities
David Sutter, Mario Berta, and Marco Tomamichel · 2017
Closest in time.
Quantum Continuous Variables
Alessio Serafini · 2017
Closest in time.
Cédric Bény · 2018
Closest in time.