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We initiate the systematic study of resource theories of quantum channels, i.e.
One-shot operational quantum resource theory
Ryuji Takagi Zi-Wen Liu, Kaifeng Bu · 1904
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Majorization in multivariate distributions
Albert W. Marshall and Ingram Olkin · 1974
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Entanglement measures and purification procedures
Vlatko Vedral and Martin B. Plenio · 1998
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Quantum circuits with mixed states
Dorit Aharonov, Alexei Kitaev, and Noam Nisan · 1998
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Cryptographic distinguishability measures for quantum mechanical states
Chris A. Fuchs and Jeroen van de Graaf · 1999
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Entangling power of quantum evolutions
Paolo Zanardi, Christof Zalka, and Lara Faoro · 2000
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Are the laws of entanglement theory thermodynamical?
Michał Horodecki, Jonathan Oppenheim, and Ryszard Horodecki · 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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On the quantum, classical and total amount of correlations in a quantum state
Berry Groisman, Sandu Popescu, and Andreas Winter · 2005
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Quantifying Superposition
Johan Åberg · 2006
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Entanglement-assisted capacity of a quantum channel and the reverse shannon theorem
C. H. Bennett, P. W. Shor, J. A. Smolin, and A. V. Thapliyal · 2006
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An introduction to entanglement measures
Martin B. Plenio and Shashank Virmani · 2007
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A resource framework for quantum shannon theory
Igor Devetak, Aram W. Harrow, and Andreas Winter · 2008
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Quantum circuit architecture
Giulio Chiribella, G. Mauro D’Ariano, and Paolo Perinotti · 2008
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Entanglement theory and the second law of thermodynamics
Fernando G. S. L. Brandão and Martin B. Plenio · 2008
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Transforming quantum operations: Quantum supermaps
Giulio Chiribella, G. Mauro D’Ariano, and Paolo Perinotti · 2008
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A continuity theorem for stinespring’s dilation
Dennis Kretschmann, Dirk Schlingemann, and Reinhard F. Werner · 2008
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Quantum entanglement
Ryszard Horodecki, Paweł Horodecki, Michał Horodecki, and Karol Horodecki · 2009
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Measuring the quality of a quantum reference frame: The relative entropy of frameness
Gilad Gour, Iman Marvian, and Robert W. Spekkens · 2009
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Theoretical framework for quantum networks
Giulio Chiribella, G. Mauro D’Ariano, and Paolo Perinotti · 2009
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Semidefinite programs for completely bounded norms
John Watrous · 2009
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Max-relative entropy of entanglement, alias log-robustness
Nilanjana Datta · 2009
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Semidefinite programs for completely bounded norms
John Watrous · 2009
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All entangled states are useful for channel discrimination
Marco Piani and John Watrous · 2009
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Min- and max-relative entropies and a new entanglement monotone
Nilanjana Datta · 2009
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A reversible theory of entanglement and its relation to the second law
Fernando G. S. L. Brandão and Martin B. Plenio · 2010
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One-shot rates for entanglement manipulation under non-entangling maps
Fernando G. S. L. Brandão and Nilanjana Datta · 2011
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The quantum reverse shannon theorem based on one-shot information theory
Mario Berta, Matthias Christandl, and Renato Renner · 2011
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Resource theory of quantum states out of thermal equilibrium
Fernando G. S. L. Brandão, Michał Horodecki, Jonathan Oppenheim, Joseph M. Renes, and Robert W. Spekkens · 2013
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Fundamental limitations for quantum and nanoscale thermodynamics
Michał Horodecki and Jonathan Oppenheim · 2013
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(quantumness in the context of) resource theories
Michal Horodecki and Jonathan Oppenheim · 2013
One-shot coherence distillation
Bartosz Regula, Kun Fang, Xin Wang, and Gerardo Adesso · 2017
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Cohering power of quantum operations
Kaifeng Bu, Asutosh Kumar, Lin Zhang, and Junde Wu · 2017
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Coherence-generating power of quantum unitary maps and beyond
Paolo Zanardi, Georgios Styliaris, and Lorenzo Campos Venuti · 2017
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Uniform continuity bounds for information characteristics of quantum channels depending on input dimension and on input energy
Maksim E. Shirokov · 2017
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Quantum message compression with applications
Anurag Anshu, Vamsi Krishna Devabathini, and Rahul Jain · 2017
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Convex geometry of quantum resource quantification
Bartosz Regula · 2018
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Quantifying coherence
Tilo Baumgratz, Marcus Cramer, and Martin B. Plenio · 2014
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Extending noether’s theorem by quantifying the asymmetry of quantum states
Iman Marvian and Robert W. Spekkens · 2014
Cited alongside, same era.
The resource theory of stabilizer quantum computation
Victor Veitch, S A Hamed Mousavian, Daniel Gottesman, and Joseph Emerson · 2014
Cited alongside, same era.
The quantum reverse shannon theorem and resource tradeoffs for simulating quantum channels
Charles H. Bennett, Igor Devetak, Aram W. Harrow, Peter W. Shor, and Andreas Winter · 2014
Cited alongside, same era.
Reversible framework for quantum resource theories
Fernando G. S. L. Brandão and Gilad Gour · 2015
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Resource theories of knowledge
Lídia del Rio, Lea Kraemer, and Renato Renner · 2015
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Quantifying resources in general resource theory with catalysts
Anurag Anshu, Min-Hsiu Hsieh, and Rahul Jain · 2018
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The first law of general quantum resource theories
Carlo Sparaciari, Lidia del Rio, Carlo Maria Scandolo, Philippe Faist, and Jonathan Oppenheim · 2018
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Fundamental work cost of quantum processes
Philippe Faist and Renato Renner · 2018
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Thermodynamic capacity of quantum processes
Philippe Faist, Mario Berta, and Fernando G. S. L. Brandão · 2018
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Using and reusing coherence to realize quantum processes
María García Díaz, Kun Fang, Xin Wang, Matteo Rosati, Michalis Skontiniotis, John Calsamiglia, and Andreas Winter · 2018
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Gilad Gour and Mark M. Wilde · 2018
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Comparison of Quantum Channels with Superchannels
Gilad Gour · 2018
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Quantum resource theories
Eric Chitambar and Gilad Gour · 2018
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Quantum communication in a superposition of causal orders
Sina Salek, Daniel Ebler, and Giulio Chiribella · 2018
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One-shot coherence dilution
Qi Zhao, Yunchao Liu, Xiao Yuan, Eric Chitambar, and Xiongfeng Ma · 2018
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Quantifying the resource content of quantum channels: An operational approach
Lu Li, Kaifeng Bu, and Zi-Wen Liu · 2018
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Quantum Channel Simulation and the Channel’s Smooth Max-Information
Kun Fang, Xin Wang, Marco Tomamichel, and Mario Berta · 2018
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Operational advantage of quantum resources in subchannel discrimination
Ryuji Takagi, Bartosz Regula, Kaifeng Bu, Zi-Wen Liu, and Gerardo Adesso · 2018
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Personal communication, Beyond IID in Information Theory 6 , Cambridge, July 2018
Philippe Faist · 2018
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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 · 2018
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Quantifying the magic of quantum channels
Xin Wang, Mark M. Wilde, and Yuan Su · 2019
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Hypothesis testing and relative entropy of quantum channels
Xiao Yuan · 2019
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Resource theories of quantum channels
Gilad Gour · 2019
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