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Completely positive and trace-preserving maps characterize physically implementable quantum operations.
Group theory and its application to the quantum mechanics of atomic spectra
Eugene Paul Wigner and U Fano · 1960
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Linear transformations which preserve trace and positive semidefiniteness of operators
Andrzej Jamiołkowski · 1972
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Completely positive linear maps on complex matrices
Man-Duen Choi · 1975
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States, effects, and Operations
Karl Kraus · 1983
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Reduced dynamics need not be completely positive
Philip Pechukas · 1994
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Separability of mixed states: necessary and sufficient conditions
Michał Horodecki, Paweł Horodecki, and Ryszard Horodecki · 1996
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Semidefinite Programming
Lieven Vandenberghe and Stephen Boyd · 1996
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Volume of the set of separable states
Karol Życzkowski, Paweł Horodecki, Anna Sanpera, and Maciej Lewenstein · 1998
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Robustness of entanglement
Guifré Vidal and Rolf Tarrach · 1999
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Method for direct detection of quantum entanglement
Paweł Horodecki and Artur Ekert · 2002
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Structural physical approximations of unphysical maps and generalized quantum measurements
Jaromír Fiurášek · 2002
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Largest separable balls around the maximally mixed bipartite quantum state
Leonid Gurvits and Howard Barnum · 2002
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From limits of quantum operations to multicopy entanglement witnesses and state-spectrum estimation
Paweł Horodecki · 2003
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Robustness of quantum gates in the presence of noise
Aram W Harrow and Michael A Nielsen · 2003
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Generalized robustness of entanglement
Michael Steiner · 2003
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Convex optimization
Stephen Boyd, Stephen P Boyd, and Lieven Vandenberghe · 2004
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Invertible quantum operations and perfect encryption of quantum states
Ashwin Nayak and Pranab Sen · 2006
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Entanglement activation and the robustness of quantum correlations
Fernando GSL Brandao · 2007
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Noise robustness of the nonlocality of entangled quantum states
Mafalda L Almeida, Stefano Pironio, Jonathan Barrett, Géza Tóth, and Antonio Acín · 2007
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Dynamics beyond completely positive maps: Some properties and applications
Hilary A Carteret, Daniel R Terno, and Karol Życzkowski · 2008
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Structural approximations to positive maps and entanglement-breaking channels
JK Korbicz, ML Almeida, Joonwoo Bae, M Lewenstein, and A Acin · 2008
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Transforming quantum operations: Quantum supermaps
Giulio Chiribella, Giacomo Mauro D’Ariano, and Paolo Perinotti · 2008
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Decoherence in solid-state qubits
Luca Chirolli and Guido Burkard · 2008
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Quantum Computation and Quantum Information
Michael A. Nielsen and Isaac L. Chuang · 2011
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Reversibility conditions for quantum channels and their applications
Maksim E Shirokov · 2013
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A linearization of quantum channels
Tanner Crowder · 2015
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On Converse Bounds for Classical Communication Over Quantum Channels
Xin Wang, Kun Fang, and Marco Tomamichel · 2019
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Quantum resource theories
Eric Chitambar and Gilad Gour · 2019
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Resource theory of asymmetric distinguishability for quantum channels
Xin Wang and Mark M. Wilde · 2019
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Operational advantage of quantum resources in subchannel discrimination
Ryuji Takagi, Bartosz Regula, Kaifeng Bu, Zi-Wen Liu, and Gerardo Adesso · 2019
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Quantifying non-markovianity: a quantum resource-theoretic approach
Namit Anand and Todd A Brun · 2019
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General resource theories in quantum mechanics and beyond: operational characterization via discrimination tasks
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Marco Piani and John Watrous · 2015
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Tom Cooney, Milán Mosonyi, and Mark M Wilde · 2016
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Carmine Napoli, Thomas R Bromley, Marco Cianciaruso, Marco Piani, Nathaniel Johnston, and Gerardo Adesso · 2016
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Optimal resource cost for error mitigation
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