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We determine a fundamental upper bound on the performance of any adaptive protocol for discrimination or estimation of a channel which has an unknown parameter encoded in the state of its environment.
Conditional expectations in an operator algebra IV (entropy and information)
Hisaharu Umegaki · 1962
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The “transition probability” in the state space of a *-algebra
Armin Uhlmann · 1976
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Quantum Detection and Estimation Theory
Carl W. Helstrom · 1976
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Probabilistic and statistical aspects of quantum theory
Alexander S. Holevo · 1982
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Quasi-entropies for finite quantum systems
Dénes Petz · 1986
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The proper formula for relative entropy and its asymptotics in quantum probability
Fumio Hiai and Dénes Petz · 1991
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Statistical distance and the geometry of quantum states
Samuel L. Braunstein and Carlton M. Caves · 1994
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Samuel L. Braunstein, Carlton M. Caves, and Gerard J. Milburn · 1996
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Mixed-state entanglement and quantum error correction
Charles H. Bennett, David P. DiVincenzo, John A. Smolin, and William K. Wootters · 1996
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Teleportation of continuous quantum variables
Samuel L. Braunstein and H. J. Kimble · 1998
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Quantum Computation and Quantum Information
Michael A. Nielsen and Isaac L. Chuang · 2000
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Andrew M. Childs, John Preskill, and Joseph Renes · 2000
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Howard M. Wiseman · 2002
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Quantum parameter estimation of a generalized Pauli channel
Akio Fujiwara and Hiroshi Imai · 2003
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Optimal discrimination of quantum operations
Massimiliano F. Sacchi · 2005
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Entanglement can enhance the distinguishability of entanglement-breaking channels
Massimiliano F. Sacchi · 2005
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Asymptotic Theory of Quantum Statistical Inference
Hiroshi Nagaoka · 2005
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Programmable quantum channels and measurements
Giacomo Mauro D’Ariano and Paolo Perinotti · 2005
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Gaussian relative entropy of entanglement
Xiao-yu Chen · 2005
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Quantum Information: An Introduction
Masahito Hayashi · 2006
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Discriminating states: The quantum Chernoff bound
K. M. R. Audenaert, J. Calsamiglia, R. Mu noz Tapia, E. Bagan, Ll. Masanes, A. Acin, and F. Verstraete · 2007
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Distinguishing quantum operations having few Kraus operators
John Watrous · 2008
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Parameter estimation of quantum channels
Zhengfeng Ji, Guoming Wang, Runyao Duan, Yuan Feng, and Mingsheng Ying · 2008
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Asymptotic error rates in quantum hypothesis testing
K. M. R. Audenaert, M. Nussbaum, A. Szkola, and F. Verstraete · 2008
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Multiple-User Quantum Information Theory for Optical Communication Channels
Monotonicity of a relative Rényi entropy
Rupert L. Frank and Elliott H. Lieb · 2013
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Efficient tools for quantum metrology with uncorrelated noise
Jan Kolodynski and Rafal Demkowicz-Dobrzanski · 2013
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Phase space formalism for quantum estimation of Gaussian states
Alex Monras · 2013
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Mark M. Wilde, Andreas Winter, and Dong Yang · 2014
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Saikat Guha · 2008
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Perfect distinguishability of quantum operations
Runyao Duan, Yuan Feng, and Mingsheng Ying · 2009
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Discrimination of two channels by adaptive methods and its application to quantum system
Masahito Hayashi · 2009
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The security of practical quantum key distribution
Valerio Scarani, Helle Bechmann-Pasquinucci, Nicolas J. Cerf, Miloslav Dušek, Norbert Lütkenhaus, and Momtchil Peev · 2009
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Adaptive versus non-adaptive strategies for quantum channel discrimination
Aram W. Harrow, Avinatan Hassidim, Debbie Leung, and John Watrous · 2010
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The quantum capacity of channels with arbitrarily correlated noise
Francesco Buscemi and Nilanjana Datta · 2010
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Quantum Systems, Channels, Information
Alexander S. Holevo · 2012
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William Matthews and Stephanie Wehner · 2014
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Strong converse rates for quantum communication
Marco Tomamichel, Mark M. Wilde, and Andreas Winter · 2014
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Second order asymptotics for quantum hypothesis testing
Ke Li · 2014
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Bounds on quantum multiple-parameter estimation with Gaussian state
Yang Gao and Hwang Lee · 2014
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Fidelity susceptibility and quantum fisher information for density operators with arbitrary ranks
Jing Liu, Heng-Na Xiong, Fei Song, and Xiaoguang Wang · 2014
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Milán Mosonyi and Tomohiro Ogawa · 2015
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From Classical to Quantum Shannon Theory
Mark M. Wilde · 2016
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On the second-order asymptotics for entanglement-assisted communication
Nilanjana Datta, Marco Tomamichel, and Mark M. Wilde · 2016
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Converse bounds for private communication over quantum channels
Mark M. Wilde, Marco Tomamichel, and Mario Berta · 2016
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Nilanjana Datta, Yan Pautrat, and Cambyse Rouzé · 2016
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Tom Cooney, Milan Mosonyi, and Mark M. Wilde · 2016
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Gaussian hypothesis testing and quantum illumination
Mark M. Wilde, Marco Tomamichel, Seth Lloyd, and Mario Berta · 2016
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Second-order coding rates for pure-loss bosonic channels
Mark M. Wilde, Joseph M. Renes, and Saikat Guha · 2016
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Stefano Pirandola and Cosmo Lupo · 2016
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