Fetching the paper…
Reading the bibliography…
We introduce two variants of the information spectrum relative entropy defined by Tomamichel and Hayashi which have the particular advantage of satisfying the data-processing inequality, i.e.
“Entanglement cost for sequences of arbitrary quantum states”
Garry Bowen and Nilanjana Datta · 1957
Earlier work this paper cites.
“Asymptotische Abschätzungen in Shannons Informationstheorie”
Volker Strassen · 1962
Earlier work this paper cites.
“An Introduction to Probability Theory and Its Applications”
William Feller · 1971
Earlier work this paper cites.
“Approximation theory of output statistics”
Te Han and Sergio Verdú · 1993
Earlier work this paper cites.
“Quantum coding”
Benjamin Schumacher · 1995
Earlier work this paper cites.
“General fidelity limit for quantum channels”
Howard Barnum, Christopher. Fuchs, Richard Jozsa and Benjamin Schumacher · 1996
Earlier work this paper cites.
“Sending entanglement through noisy quantum channels”
Benjamin Schumacher · 1996
Earlier work this paper cites.
“Matrix analysis”, Graduate Texts in Mathematics 169
Rajendra Bhatia · 1997
Earlier work this paper cites.
“Sending classical information via noisy quantum channels”
Benjamin Schumacher and Michael. Westmoreland · 1997
Earlier work this paper cites.
“The capacity of the quantum channel with general signal states”
Alexander. Holevo · 1998
Earlier work this paper cites.
“Limits for compression of quantum information carried by ensembles of mixed states”
Michał Horodecki · 1998
Earlier work this paper cites.
“Cryptographic distinguishability measures for quantum-mechanical states”
Christopher. Fuchs and Jeroen Van De · 1999
Earlier work this paper cites.
“Conditions for a class of entanglement transformations”
Michael Nielsen · 1999
Earlier work this paper cites.
“Strong converse to the quantum channel coding theorem”
Tomohiro Ogawa and Hiroshi Nagaoka · 1999
Earlier work this paper cites.
“Coding theorem and strong converse for quantum channels”
Andreas Winter · 1999
Earlier work this paper cites.
“Coding Theorems of Quantum Information Theory”, 1999
Andreas Winter · 1999
Earlier work this paper cites.
“Strong converse and Stein’s lemma in quantum hypothesis testing”
Tomohiro Ogawa and Hiroshi Nagaoka · 2000
Earlier work this paper cites.
“Approximate transformations and robust manipulation of bipartite pure-state entanglement”
Guifré Vidal, Daniel Jonathan and Michael. Nielsen · 2000
Earlier work this paper cites.
“On quantum coding for ensembles of mixed states”
Howard Barnum, Carlton. Caves, Christopher. Fuchs, Richard Jozsa and Benjamin Schumacher · 2001
Earlier work this paper cites.
“Classical capacity of a noiseless quantum channel assisted by noisy entanglement”
Micha Horodecki, Pawe Horodecki, Ryszard Horodecki, Debbie. Leung and Barbara. Terhal · 2001
Cited alongside, same era.
“Concentrating entanglement by local actions: Beyond mean values”
Hoi-Kwong Lo and Sandu Popescu · 2001
Cited alongside, same era.
“Separable States Are More Disordered Globally than Locally”
Michael. Nielsen and Julia Kempe · 2001
Cited alongside, same era.
“Exponents of quantum fixed-length pure-state source coding”
Masahito Hayashi · 2002
Cited alongside, same era.
Andreas Winter · 2002
Cited alongside, same era.
“General formulas for capacity of classical-quantum channels”
“Information spectrum approach to second-order coding rate in channel coding”
Masahito Hayashi · 2009
Later among the works it cites.
“The operational meaning of min- and max-entropy”
Robert König, Renato Renner and Christian Schaffner · 2009
Later among the works it cites.
“Duality between smooth min-and max-entropies”
Marco Tomamichel, Roger Colbeck and Renato Renner · 2010
Later among the works it cites.
“The apex of the family tree of protocols: Optimal rates and resource inequalities”
Nilanjana Datta and Min-Hsiu Hsieh · 2011
Later among the works it cites.
“Probabilistic and statistical aspects of quantum theory”
Alexander. Holevo · 2011
Later among the works it cites.
“A Framework for Non-Asymptotic Quantum Information Theory”, 2012
alphaXiv searches the wider corpus for related work and actual follow-ups.
alphaXiv is searching for related work…
Masahito Hayashi and Hiroshi Nagaoka · 2003
Cited alongside, same era.
“A tight lower bound on the classical communication cost of entanglement dilution”
Aram. Harrow and Hoi-Kwong Lo · 2004
Cited alongside, same era.
“Smooth Rényi entropy and applications”
Renato Renner and Stephan Wolf · 2004
Cited alongside, same era.
“Security of quantum key distribution”
Renato Renner · 2005
Cited alongside, same era.
“Universally composable privacy amplification against quantum adversaries”
Renato Renner and Robert König · 2005
Cited alongside, same era.
“Beyond i.i.d. in quantum information theory”
Garry Bowen and Nilanjana Datta · 2006
Cited alongside, same era.
“Quantum coding theorems for arbitrary sources, channels and entanglement resources”
Garry Bowen and Nilanjana Datta · 2006
Cited alongside, same era.
Marco Tomamichel · 2012
Later among the works it cites.
“One-shot classical-quantum capacity and hypothesis testing”
Ligong Wang and Renato Renner · 2012
Later among the works it cites.
Nilanjana Datta, Milan Mosonyi, Min-Hsiu Hsieh and Fernando.S.L. Brandão · 2013
Later among the works it cites.
“Nonasymptotic noisy lossy source coding”
Victoria Kostina and Sergio Verdú · 2013
Later among the works it cites.
“Entanglement Concentration is Irreversible”
Wataru Kumagai and Masahito Hayashi · 2013
Later among the works it cites.
“Second order asymptotics for random number generation”
Wataru Kumagai and Masahito Hayashi · 2013
Later among the works it cites.
“A hierarchy of information quantities for finite block length analysis of quantum tasks”
Marco Tomamichel and Masahito Hayashi · 2013
Later among the works it cites.
“Quantum Achievability Proof via Collision Relative Entropy”
Salman Beigi and Amin Gohari · 2014
Closest in time.
“Second order asymptotics for quantum hypothesis testing”
Ke Li · 2014
Closest in time.
“Finite blocklength converse bounds for quantum channels”
William Matthews and Stephanie Wehner · 2014
Closest in time.
“Second-Order Asymptotics for the Classical Capacity of Image-Additive Quantum Channels”
Marco Tomamichel and Vincent.F. Tan · 2015
Closest in time.
“On the Second-Order Asymptotics of the Partially Smoothed Conditional Min-Entropy amp; Application to Quantum Compression”
Dina Abdelhadi and Joseph. Renes · 2020
Closest in time.
“Concentrating partial entanglement by local operations”
Charles. Bennett, Herbert Bernstein, Sandu Popescu and Benjamin Schumacher · 2046
Closest in time.