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Degradable quantum channels are an important class of completely positive trace-preserving maps.
Positive functions on c ∗ c^{*} -algebras
W. F. Stinespring · 1955
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A fundamental property of quantum-mechanical entropy
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Proof of the strong subadditivity of quantum-mechanical entropy
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Polynomial algorithms in linear programming
L. G. Khachiyan · 1980
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Mixed-state entanglement and quantum error correction
C. H. Bennett, D. P. DiVincenzo, J. A. Smolin, and W. K. Wootters · 1996
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H. Barnum, M. A. Nielsen, and B. Schumacher · 1998
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Optimal universal and state-dependent quantum cloning
D. Bruss, D. P. DiVincenzo, A. Ekert, C. A. Fuchs, C. Macchiavello, and J. A. Smolin · 1998
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D. P. DiVincenzo, P. W. Shor, and J. A. Smolin · 1998
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Theory of Linear and Integer Programming
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E. M. Rains · 1999
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On quantum fidelities and channel capacities
H. Barnum, E. Knill, and M. A. Nielsen · 2000
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Pauli cloning of a quantum bit
N. J. Cerf · 2000
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A semidefinite program for distillable entanglement
E. M. Rains · 2001
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The quantum channel capacity and coherent information
P. W. Shor · 2002
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Continuity of quantum conditional information
R. Alicki and M. Fannes · 2004
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Convex Optimization
S. Boyd and L. Vandenberghe · 2004
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Quantum privacy and quantum wiretap channels
N. Cai, A. Winter, and R. W. Yeung · 2004
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The private classical capacity and quantum capacity of a quantum channel
I. Devetak · 2005
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The capacity of a quantum channel for simultaneous transmission of classical and quantum information
I. Devetak and P. W. Shor · 2005
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The quantum capacity with symmetric side channels
G. Smith, J. A. Smolin, and A. Winter · 2008
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Capacity theorems for quantum multiple-access channels: classical-quantum and quantum-quantum capacity regions
J. Yard, P. Hayden, and I. Devetak · 2008
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On almost randomizing channels with a short Kraus decomposition
G. Aubrun · 2009
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Continuity of quantum channel capacities
D. Leung and G. Smith · 2009
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Semidefinite programs for completely bounded norms
J. Watrous · 2009
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Network Information Theory
A. El Gamal and Y.-H. Kim · 2012
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K. M. R. Audenaert · 2007
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Some open problems in quantum information theory, 2007
M. B. Ruskai · 2007
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Degenerate quantum codes for Pauli channels
G. Smith and J. A. Smolin · 2007
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Quantum capacities of channels with small environment
M. M. Wolf and D. Perez-Garcia · 2007
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The structure of degradable quantum channels
T. S. Cubitt, M. B. Ruskai, and G. Smith · 2008
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The information-disturbance tradeoff and the continuity of Stinespring’s representation
D. Kretschmann, D. Schlingemann, and R. F. Werner · 2008
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Quantum Systems, Channels, Information
A. S. Holevo · 2012
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Quantum channels & operations, 2012
M. M. Wolf · 2012
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Quantum Information Theory
M. M. Wilde · 2013
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Channel covariance, twirling, contraction, and some upper bounds on the quantum capacity
Y. Ouyang · 2014
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Unbounded number of channel uses may be required to detect quantum capacity
T. Cubitt, D. Elkouss, W. Matthews, M. Ozols, D. Pérez-García, and S. Strelchuk · 2015
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Superadditivity of private information for any number of uses of the channel
D. Elkouss and S. Strelchuk · 2015
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Tight uniform continuity bounds for quantum entropies: Conditional entropy, relative entropy distance and energy constraints
A. Winter · 2016
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Useful states and entanglement distillation, 2017
F. Leditzky, N. Datta, and G. Smith · 2017
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Quantum and private capacities of low-noise channels, 2017
F. Leditzky, D. Leung, and G. Smith · 2017
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