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This paper defines the amortized entanglement of a quantum channel as the largest difference in entanglement between the output and the input of the channel, where entanglement is quantified by an arbitrary entanglement measure.
Conditional expectations in an operator algebra IV (entropy and information)
Hisaharu Umegaki · 1962
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Entropy, information and quantum measurements
Göran Lindblad · 1973
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A fundamental property of quantum-mechanical entropy
Elliott H. Lieb and Mary Beth Ruskai · 1973
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Proof of the strong subadditivity of quantum-mechanical entropy
Elliott H. Lieb and Mary Beth Ruskai · 1973
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Completely positive maps and entropy inequalities
Göran Lindblad · 1975
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The “transition probability” in the state space of a *-algebra
Armin Uhlmann · 1976
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Quantum cryptography: Public key distribution and coin tossing
Charles H. Bennett and Gilles Brassard · 1984
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Quantum states with Einstein-Podolsky-Rosen correlations admitting a hidden-variable model
Reinhard F. Werner · 1989
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Quantum cryptography based on Bell’s theorem
Artur K. Ekert · 1991
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Teleporting an unknown quantum state via dual classical and Einstein-Podolsky-Rosen channels
Charles H. Bennett, Gilles Brassard, Claude Crépeau, Richard Jozsa, Asher Peres, and William K. Wootters · 1993
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Purification of noisy entanglement and faithful teleportation via noisy channels
Charles H. Bennett, Gilles Brassard, Sandu Popescu, Benjamin Schumacher, John A. Smolin, and William K. Wootters · 1996
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Mixed-state entanglement and quantum error correction
Charles H. Bennett, David P. DiVincenzo, John A. Smolin, and William K. Wootters · 1996
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Separability of mixed states: necessary and sufficient conditions
Michal Horodecki, Pawel Horodecki, and Ryszard Horodecki · 1996
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Separability criterion for density matrices
Asher Peres · 1996
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Quantum data processing and error correction
Benjamin Schumacher and Michael A. Nielsen · 1996
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Quantum computations: algorithms and error correction
Alexei Y. Kitaev · 1997
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Teleportation of continuous quantum variables
Samuel L. Braunstein and H. J. Kimble · 1998
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Entanglement measures and purification procedures
Vlatko Vedral and Martin B. Plenio · 1998
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Entanglement-assisted classical capacity of noisy quantum channels
Charles H. Bennett, Peter W. Shor, John A. Smolin, and Ashish V. Thapliyal · 1999
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General teleportation channel, singlet fraction, and quasidistillation
Michał Horodecki, Paweł Horodecki, and Ryszard Horodecki · 1999
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Bound on distillable entanglement
Eric M. Rains · 1999
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Quantum entanglement and conditional information transmission
Robert R. Tucci · 1999
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Private quantum channels
Andris Ambainis, Michele Mosca, Alain Tapp, and Ronald de Wolf · 2000
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A semidefinite program for distillable entanglement
Eric M. Rains · 2001
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All teleportation and dense coding schemes
Reinhard F. Werner · 2001
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Asymptotic relative entropy of entanglement for orthogonally invariant states
Koenraad Audenaert, Bart De Moor, Karl Gerd H. Vollbrecht, and Reinhard F. Werner · 2002
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Entanglement-assisted capacity of a quantum channel and the reverse Shannon theorem
Charles H. Bennett, Peter W. Shor, John A. Smolin, and Ashish V. Thapliyal · 2002
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Remarks on the classical capacity of quantum channel
Alexander S. Holevo · 2002
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Entanglement of distillation and conditional mutual information
Robert R. Tucci · 2002
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On the capacities of bipartite Hamiltonians and unitary gates
Charles H. Bennett, Aram W. Harrow, Debbie W. Leung, and John A. Smolin · 2003
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Entanglement breaking channels
Michal Horodecki, Peter W. Shor, and Mary Beth Ruskai · 2003
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Optimal entanglement generation from quantum operations
Matthew S. Leifer, Leah Henderson, and Noah Linden · 2003
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“Squashed entanglement”: An additive entanglement measure
Matthias Christandl and Andreas Winter · 2004
Cited alongside, same era.
Monogamy of quantum entanglement and other correlations
Masato Koashi and Andreas Winter · 2004
Cited alongside, same era.
Distillation of secret key and entanglement from quantum states
Igor Devetak and Andreas Winter · 2005
Cited alongside, same era.
Locking entanglement with a single qubit
Karol Horodecki, Michał Horodecki, Paweł Horodecki, and Jonathan Oppenheim · 2005
Cited alongside, same era.
Secure key from bound entanglement
Karol Horodecki, Michał Horodecki, Paweł Horodecki, and Jonathan Oppenheim · 2005
Cited alongside, same era.
Reversibility of local transformations of multiparticle entanglement
Noah Linden, Sandu Popescu, Benjamin Schumacher, and Michael Westmoreland · 2005
Cited alongside, same era.
The squashed entanglement of a quantum channel
Masahiro Takeoka, Saikat Guha, and Mark M. Wilde · 2014
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Mark M. Wilde, Andreas Winter, and Dong Yang · 2014
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Reversible framework for quantum resource theories
Fernando G. S. L. Brandao and Gilad Gour · 2015
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Resource theories of knowledge
Lidia del Rio, Lea Kraemer, and Renato Renner · 2015
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The Structure of Bipartite Quantum States: Insights from Group Theory and Cryptography
Matthias Christandl · 2006
Cited alongside, same era.
Multiplicativity of completely bounded p-norms implies a new additivity result
Igor Devetak, Marius Junge, Christopher King, and Mary Beth Ruskai · 2006
Cited alongside, same era.
Multiplicativity of p-norms of completely positive maps and the additivity problem in quantum information theory
Alexander S. Holevo · 2006
Cited alongside, same era.
Quantum capacities of bosonic channels
Michael M. Wolf, David Pérez-García, and Geza Giedke · 2007
Cited alongside, same era.
Quantum key distribution based on private states: Unconditional security over untrusted channels with zero quantum capacity
Karol Horodecki, Michał Horodecki, Paweł Horodecki, Debbie Leung, and Jonathan Oppenheim · 2008
Cited alongside, same era.
Unconditional privacy over channels which cannot convey quantum information
Karol Horodecki, Michał Horodecki, Paweł Horodecki, Debbie Leung, and Jonathan Oppenheim · 2008
Cited alongside, same era.
Tobias Fritz · 2015
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Quantum repeaters: Objectives, definitions and architectures
Norbert Lütkenhaus and Saikat Guha · 2015
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Theory of Quantum Information
John Watrous · 2015
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Fundamental rate-loss trade-off 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
Kenneth Goodenough, David Elkouss, and Stephanie Wehner · 2016
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Currencies in resource theories
Lea Kraemer and Lidia del Rio · 2016
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Fundamental limits of repeaterless quantum communications
Stefano Pirandola, Riccardo Laurenza, Carlo Ottaviani, and Leonardo Banchi · 2016
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Maksim E. Shirokov · 2016
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Bounds on entanglement distillation and secret key agreement for quantum broadcast channels
Kaushik P. Seshadreesan, Masahiro Takeoka, and Mark M. Wilde · 2016
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Unconstrained distillation capacities of a pure-loss bosonic broadcast channel
Masahiro Takeoka, Kaushik P. Seshadreesan, and Mark M. Wilde · 2016
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From Classical to Quantum Shannon Theory
Mark M. Wilde · 2016
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Squashed entanglement and approximate private states
Mark M. Wilde · 2016
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Andreas Winter · 2016
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Potential capacities of quantum channels
Andreas Winter and Dong Yang · 2016
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Fundamental limitation on quantum broadcast networks
Stefan Bäuml and Koji Azuma · 2017
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Resource theory of coherence: Beyond states
Khaled Ben Dana, María García Díaz, Mohamed Mejatty, and Andreas Winter · 2017
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Relative entropy bounds on quantum, private and repeater capacities
Matthias Christandl and Alexander Müller-Hermes · 2017
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Quantum reading capacity: General definition and bounds
Siddhartha Das and Mark M. Wilde · 2017
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Hamza Fawzi and Omar Fawzi · 2017
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Upper bounds on secret key agreement over lossy thermal bosonic channels
Eneet Kaur and Mark M. Wilde · 2017
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Approaches for approximate additivity of the Holevo information of quantum channels
Felix Leditzky, Eneet Kaur, Nilanjana Datta, and Mark M. Wilde · 2017
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Quantum and private capacities of low-noise channels
Felix Leditzky, Debbie Leung, and Graeme Smith · 2017
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Realistic parameter regimes for a single sequential quantum repeater
Filip Rozpedek, Kenneth Goodenough, Jeremy Ribeiro, Norbert Kalb, Valentina Caprara Vivoli, Andreas Reiserer, Ronald Hanson, Stephanie Wehner, and David Elkouss · 2017
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Versatile relative entropy bounds for quantum networks
Luca Rigovacca, Go Kato, Stefan Baeuml, M. S. Kim, W. J. Munro, and Koji Azuma · 2017
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Masahiro Takeoka, Kaushik P. Seshadreesan, and Mark M. Wilde · 2017
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Strong converse rates for quantum communication
Marco Tomamichel, Mark M. Wilde, and Andreas Winter · 2017
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Converse bounds for private communication over quantum channels
Mark M. Wilde, Marco Tomamichel, and Mario Berta · 2017
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