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Most coding theorems in quantum Shannon theory can be proven using the decoupling technique: to send data through a channel, one guarantees that the environment gets no information about it; Uhlmann's theorem then ensures that the receiver must be able to decode.
Linear transformations which preserve trace and positive semidefiniteness of operators
A. Jamiołkowski · 1972
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Completely positive linear maps on complex matrices
M.-D. Choi · 1975
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The ‘transition probability’ in the state space of a ∗ -algebra
A. Uhlmann · 1976
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Matrix Analysis
R. Bhatia · 1996
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Sending classical information via noisy quantum channels
B. Schumacher and M. D. Westmoreland · 1997
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The method of types
I. Csiszár · 1998
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The capacity of the quantum channel with general signal states
A. S. Holevo · 1998
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Quantum computation and quantum information
M. A. Nielsen and I. L. Chuang · 2000
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Security of quantum key distribution
R. Renner · 2005
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Quantum state merging and negative information
M. Horodecki, J. Oppenheim, and A. Winter · 2007
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A resource framework for quantum Shannon theory
I. Devetak, A. Harrow, and A. Winter · 2008
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A decoupling approach to the quantum capacity
P. Hayden, M. Horodecki, J. Yard, and A. Winter · 2008
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The mother of all protocols: Restructuring quantum information’s family tree
A. Abeyesinghe, I. Devetak, P. Hayden, and A. Winter · 2009
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The capacity of quantum channels with side information at the transmitter
F. Dupuis · 2009
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A fully quantum asymptotic equipartition property
M. Tomamichel, R. Colbeck, and R. Renner · 2009
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F. Dupuis, M. Berta, J. Wullschleger, and R. Renner · 2010
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A father protocol for quantum broadcast channels
F. Dupuis, P. Hayden, and K. Li · 2010
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Duality between smooth min- and max-entropies
M. Tomamichel, R. Colbeck, and R. Renner · 2010
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Noisy channel coding via privacy amplification and information reconciliation
J. Renes and R. Renner · 2011
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The decoupling approach to quantum information theory
F. Dupuis · 2009
Cited alongside, same era.
Generalized relative entropies and the capacity of classical-quantum channels
M. Mosonyi and N. Datta · 2009
Cited alongside, same era.
Decoupling Theorems
O. Szehr · 2011
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A Framework for Non-Asymptotic Quantum Information Theory
M. Tomamichel · 2012
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One-shot classical-quantum capacity and hypothesis testing
L. Wang and R. Renner · 2012
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