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This paper defines the squashed entanglement of a quantum channel as the maximum squashed entanglement that can be registered by a sender and receiver at the input and output of a quantum channel, respectively.
Proof of the strong subadditivity of quantum-mechanical entropy
Elliott H. Lieb and Mary Beth Ruskai · 1973
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Relative entropy and the Wigner-Yanase-Dyson-Lieb concavity in an interpolation theory
Armin Uhlmann · 1977
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Majorization theory approach to the Gaussian channel minimum entropy conjecture
Raul Garcia-Patron, Carlos Navarrete-Benlloch, Seth Lloyd, Jeffrey H. Shapiro, and Nicolas J. Cerf · 1986
Earlier work this paper cites.
Common randomness in information theory and cryptography. I. Secret sharing
Rudolf Ahlswede and Imre Csiszár · 1993
Earlier work this paper cites.
Secret key agreement by public discussion from common information
Ueli M. Maurer · 1993
Earlier work this paper cites.
Capacities of quantum erasure channels
Charles H. Bennett, David P. DiVincenzo, and John A. Smolin · 1997
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Quantum privacy and quantum coherence
Benjamin Schumacher and Michael D. Westmoreland · 1998
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Unconditional security of quantum key distribution over arbitrarily long distances
Hoi-Kwong Lo and Hoi Fung Chau · 1999
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Unconditionally secure key agreement and the intrinsic conditional information
Ueli M. Maurer and Stefan Wolf · 1999
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Quantum entanglement and conditional information transmission
Robert R. Tucci · 1999
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Simple proof of security of the BB84 quantum key distribution protocol
Peter W. Shor and John Preskill · 2000
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Evaluating capacities of bosonic Gaussian channels
Alexander S. Holevo and Reinhard F. Werner · 2001
Earlier work this paper cites.
A semidefinite program for distillable entanglement
Eric M. Rains · 2001
Cited alongside, same era.
The quantum analog to intrinsic information
Matthias Christandl · 2002
Cited alongside, same era.
Entanglement of distillation and conditional mutual information
Robert R. Tucci · 2002
Cited alongside, same era.
A property of the intrinsic mutual information
Matthias Christandl, Renato Renner, and Stefan Wolf · 2003
Cited alongside, same era.
Continuity of quantum conditional information
Robert Alicki and Mark Fannes · 2004
Cited alongside, same era.
“Squashed entanglement”: An additive entanglement measure
Matthias Christandl and Andreas Winter · 2004
Cited alongside, same era.
Extremality of Gaussian quantum states
Michael M. Wolf, Geza Giedke, and J. Ignacio Cirac · 2006
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Unifying classical and quantum key distillation
Matthias Christandl, Artur Ekert, Michal Horodecki, Pawel Horodecki, Jonathan Oppenheim, and Renato Renner · 2007
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Quantum Information with Continous Variables of Atoms and Light
Jens Eisert and Michael M. Wolf · 2007
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Quantum capacities of bosonic channels
Michael M. Wolf, David Pérez-García, and Geza Giedke · 2007
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A paradigm for entanglement theory based on quantum communication
Jonathan Oppenheim · 2008
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Vittorio Giovannetti, Saikat Guha, Seth Lloyd, Lorenzo Maccone, and Jeffrey H. Shapiro · 2004
Cited alongside, same era.
Monogamy of quantum entanglement and other correlations
Masato Koashi and Andreas Winter · 2004
Cited alongside, same era.
Secure key from bound entanglement
Karol Horodecki, Michał Horodecki, Paweł Horodecki, and Jonathan Oppenheim · 2005
Cited alongside, same era.
One-mode bosonic Gaussian channels: a full weak-degradability classification
Filippo Caruso, Vittorio Giovannetti, and Alexander S. Holevo · 2006
Cited alongside, same era.
The Structure of Bipartite Quantum States: Insights from Group Theory and Cryptography
Matthias Christandl · 2006
Cited alongside, same era.
Raúl García-Patrón, Stefano Pirandola, Seth Lloyd, and Jeffrey H. Shapiro · 2009
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General paradigm for distilling classical key from quantum states
Karol Horodecki, Michal Horodecki, Pawel Horodecki, and Jonathan Oppenheim · 2009
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Direct and reverse secret-key capacities of a quantum channel
Stefano Pirandola, Raul García-Patrón, Samuel L. Braunstein, and Seth Lloyd · 2009
Later among the works it cites.
Faithful squashed entanglement
Fernando G. S. L. Brandão, Matthias Christandl, and Jon Yard · 2011
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Christian Weedbrook, Stefano Pirandola, Raul Garcia-Patron, Nicolas J. Cerf, Timothy C. Ralph, Jeffrey H. Shapiro, and Seth Lloyd · 2012
Later among the works it cites.
Entanglement cost of quantum channels
Mario Berta, Fernando G. S. L. Brandão, Matthias Christandl, and Stephanie Wehner · 2013
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