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This paper establishes a general theory of energy-constrained quantum and private capacities of quantum channels.
On the algebraic problem concerning the normal forms of linear dynamical systems
John Williamson · 1936
Earlier work this paper cites.
Positive functions on C*-algebras
William F. Stinespring · 1955
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Transmission of Information
Robert M. Fano · 1961
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Free states of the canonical anticommutation relations
Robert T. Powers and Erling Stormer · 1970
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Entropy inequalities
Huzihiro Araki and Elliott H. Lieb · 1970
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Harold Falk · 1970
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Göran Lindblad · 1973
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Bounds for the quantity of information transmitted by a quantum communication channel
Alexander S. Holevo · 1973
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The wire-tap channel
Aaron D. Wyner · 1975
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Göran Lindblad · 1975
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The “transition probability” in the state space of a *-algebra
Armin Uhlmann · 1976
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Three theorems about entropy and convergence of density matrices
Alfred Wehrl · 1976
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Ultimate information carrying limit of quantum systems
Horace P. Yuen and Masanao Ozawa · 1993
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Capacity of the noisy quantum channel
Seth Lloyd · 1997
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Benjamin Schumacher and Michael D. Westmoreland · 1998
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Christopher A. Fuchs and Jeroen van de Graaf · 1998
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Howard Barnum, Emanuel Knill, and Michael A. Nielsen · 2000
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Alexander S. Holevo and Reinhard F. Werner · 2001
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The quantum channel capacity and coherent information
Peter W. Shor · 2002
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On entanglement assisted classical capacity
Alexander S. Holevo · 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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Broadband channel capacities
Vittorio Giovannetti, Seth Lloyd, Lorenzo Maccone, and Peter W. Shor · 2003
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Entanglement-assisted capacity of constrained channels
Alexander S. Holevo · 2003
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Quantum privacy and quantum wiretap channels
N. Cai, Andreas Winter, and Raymond W. Yeung · 2004
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Introductory Quantum Optics
Christopher Gerry and Peter Knight · 2004
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Entanglement-assisted capacities of constrained quantum channels
Alexander S. Holevo · 2004
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Continuity of quantum conditional information
Robert Alicki and Mark Fannes · 2004
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Tema con variazioni: quantum channel capacity
Dennis Kretschmann and Reinhard F. Werner · 2004
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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
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Classical capacity of the free-space quantum-optical channel
Saikat Guha · 2004
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The private classical capacity and quantum capacity of a quantum channel
Igor Devetak · 2005
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Secure key from bound entanglement
Karol Horodecki, Michał Horodecki, Paweł Horodecki, and Jonathan Oppenheim · 2005
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The capacity of a quantum channel for simultaneous transmission of classical and quantum information
Igor Devetak and Peter W. Shor · 2005
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Classical capacity of fermionic product channels
Sergey Bravyi · 2005
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Capacities of quantum channels for massive bosons and fermions
Aditi Sen(De), Ujjwal Sen, Bartosz Gromek, Dagmar Bruß, and Maciej Lewenstein · 2005
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Continuity bounds on the quantum relative entropy
Koenraad M. R. Audenaert and Jens Eisert · 2005
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Continuous ensembles and the capacity of infinite-dimensional quantum channels
Alexander S. Holevo and Maksim E. Shirokov · 2006
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Degradability of bosonic Gaussian channels
Filippo Caruso and Vittorio Giovannetti · 2006
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One-mode bosonic Gaussian channels: a full weak-degradability classification
Filippo Caruso, Vittorio Giovannetti, and Alexander S. Holevo · 2006
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Quantum channels and their entropic characteristics
Alexander S. Holevo and Vittorio Giovannetti · 2012
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Tight exponential analysis of universally composable privacy amplification and its applications
Masahito Hayashi · 2013
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On the entanglement-assisted classical capacity of infinite-dimensional quantum channels
Alexander S. Holevo and Maksim E. Shirokov · 2013
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Reversibility conditions for quantum channels and their applications
Maksim E. Shirokov · 2013
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Infinite Shannon entropy
Valentina Baccetti and Matt Visser · 2013
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Extremality of Gaussian quantum states
Michael M. Wolf, Geza Giedke, and J. Ignacio Cirac · 2006
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Quantum capacities of bosonic channels
Michael M. Wolf, David Pérez-García, and Geza Giedke · 2007
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Approximate quantum error correction, random codes, and quantum channel capacity
Rochus Klesse · 2007
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One-mode quantum Gaussian channels: Structure and quantum capacity
Alexander S. Holevo · 2007
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Capacities of noiseless quantum channels for massive indistinguishable particles: Bosons versus fermions
Aditi Sen(De), Ujjwal Sen, Bartosz Gromek, Dagmar Bruß, and Maciej Lewenstein · 2007
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Unconditional privacy over channels which cannot convey quantum information
Karol Horodecki, Michał Horodecki, Paweł Horodecki, Debbie Leung, and Jonathan Oppenheim · 2008
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Eliska Greplova · 2013
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Reliability and secrecy functions of the wiretap channel under cost constraint
Te Sun Han, Hiroyuki Endo, and Masahide Sasaki · 2014
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Ultimate classical communication rates of quantum optical channels
Vittorio Giovannetti, Raul Garcia-Patron, Nicolas J. Cerf, and Alexander S. Holevo · 2014
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Continuous variable quantum information: Gaussian states and beyond
Gerardo Adesso, Sammy Ragy, and Antony R. Lee · 2014
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Masahito Hayashi · 2015
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A solution of Gaussian optimizer conjecture for quantum channels
Vittorio Giovannetti, Alexander S. Holevo, and Raul Garcia-Patron · 2015
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Strong converse for the classical capacity of all phase-insensitive bosonic Gaussian channels
Bhaskar Roy Bardhan, Raul Garcia-Patron, Mark M. Wilde, and Andreas Winter · 2015
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Fundamental limits of repeaterless quantum communications
Stefano Pirandola, Riccardo Laurenza, Carlo Ottaviani, and Leonardo Banchi · 2015
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