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The squashed entanglement is a fundamental entanglement measure in quantum information theory, finding application as an upper bound on the distillable secret key or distillable entanglement of a quantum state or a quantum channel.
Information theoretical analysis of multivariate correlation
Satosi Watanabe · 1960
Earlier work this paper cites.
Quantum detection and estimation theory
Carl W. Helstrom · 1969
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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
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Linear dependence structure of the entropy space
Te Sun Han · 1975
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The “transition probability” in the state space of a *-algebra
Armin Uhlmann · 1976
Earlier work this paper cites.
Nonnegative entropy measures of multivariate symmetric correlations
Te Sun Han · 1978
Earlier work this paper cites.
Cryptographic distinguishability measures for quantum mechanical states
Christopher A. Fuchs and Jeroen van de Graaf · 1998
Earlier work this paper cites.
Quantum entanglement and conditional information transmission, 1999
Robert R. Tucci · 1999
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Multipartite classical and quantum secrecy monotones
Nicolas J. Cerf, Serge Massar, and Sara Schneider · 2002
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Entanglement of distillation and conditional mutual information
Robert R. Tucci · 2002
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Continuity of quantum conditional information
Robert Alicki and Mark Fannes · 2004
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Squashed entanglement: An additive entanglement measure
Matthias Christandl and Andreas Winter · 2004
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Monogamy of quantum entanglement and other correlations
Masato Koashi and Andreas Winter · 2004
Earlier work this paper cites.
Secure key from bound entanglement
Karol Horodecki, Michał Horodecki, Paweł Horodecki, and Jonathan Oppenheim · 2005
Cited alongside, same era.
The Structure of Bipartite Quantum States: Insights from Group Theory and Cryptography
Matthias Christandl · 2006
Cited alongside, same era.
Quantum states representing perfectly secure bits are always distillable
Paweł Horodecki and Remigiusz Augusiak · 2006
Cited alongside, same era.
Unifying classical and quantum key distillation
Matthias Christandl, Artur Ekert, Michal Horodecki, Pawel Horodecki, Jonathan Oppenheim, and Renato Renner · 2007
Cited alongside, same era.
Distributed compression and multiparty squashed entanglement
David Avis, Patrick Hayden, and Ivan Savov · 2008
Cited alongside, same era.
No-local-broadcasting theorem for multipartite quantum correlations
Multipartite quantum correlations and local recoverability
Mark M. Wilde · 2014
Later among the works it cites.
Rényi squashed entanglement, discord, and relative entropy differences
Kaushik P. Seshadreesan, Mario Berta, and Mark M. Wilde · 2015
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Fidelity of recovery, squashed entanglement, and measurement recoverability
Kaushik P. Seshadreesan and Mark M. Wilde · 2015
Later among the works it cites.
Fundamental rate-loss tradeoff for the quantum internet
Koji Azuma, Akihiro Mizutani, and Hoi-Kwong Lo · 2016
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Assessing the performance of quantum repeaters for all phase-insensitive Gaussian bosonic channels
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Marco Piani, Pawel Horodecki, and Ryszard Horodecki · 2008
Cited alongside, same era.
An additive and operational entanglement measure: Conditional entanglement of mutual information
Dong Yang, Michal Horodecki, and Z. D. Wang · 2008
Cited alongside, same era.
Quantum entanglement
Ryszard Horodecki, Paweł Horodecki, Michał Horodecki, and Karol Horodecki · 2009
Cited alongside, same era.
General paradigm for distilling classical key from quantum states
Karol Horodecki, Michal Horodecki, Pawel Horodecki, and Jonathan Oppenheim · 2009
Cited alongside, same era.
Dong Yang, Karol Horodecki, Michal Horodecki, Pawel Horodecki, Jonathan Oppenheim, and Wei Song · 2009
Cited alongside, same era.
Faithful squashed entanglement
Fernando G. S. L. Brandao, Matthias Christandl, and Jon Yard · 2011
Cited alongside, same era.
Entanglement of the antisymmetric state
Matthias Christandl, Norbert Schuch, and Andreas Winter · 2012
Cited alongside, same era.
Kenneth Goodenough, David Elkouss, and Stephanie Wehner · 2016
Closest in time.
Squashed entanglement in infinite dimensions
Maksim E. Shirokov · 2016
Closest in time.
Bounds on entanglement distillation and secret key agreement for quantum broadcast channels
Kaushik P. Seshadreesan, Masahiro Takeoka, and Mark M. Wilde · 2016
Closest in time.
Quantum Information Processing with Finite Resources — Mathematical Foundations
Marco Tomamichel · 2016
Closest in time.
From Classical to Quantum Shannon Theory
Mark M. Wilde · 2016
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Andreas Winter · 2016
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Aggregating quantum repeaters for the quantum internet
Koji Azuma and Go Kato · 2017
Closest in time.
Maksim E. Shirokov · 2017
Closest in time.
Converse bounds for private communication over quantum channels
Mark M. Wilde, Marco Tomamichel, and Mario Berta · 2017
Closest in time.