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Quantum hypothesis testing is one of the most basic tasks in quantum information theory and has fundamental links with quantum communication and estimation theory.
On a formula for the product-moment coefficient of any order of a normal frequency distribution in any number of variables
Leon Isserlis · 1918
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On the algebraic problem concerning the normal forms of linear dynamical systems
John Williamson · 1936
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A measure of asymptotic efficiency for tests of a hypothesis based on the sum of observations
Herman Chernoff · 1952
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On the asymptotic efficiency of tests and estimates
Raghu R. Bahadur · 1960
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Conditional expectations in an operator algebra IV (entropy and information)
Hisaharu Umegaki · 1962
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Calculus for functions of noncommuting operators and general phase-space methods in quantum mechanics. I. Mapping theorems and ordering of functions of noncommuting operators
Girish S. Agarwal and Emil Wolf · 1970
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Hypothesis testing and information theory
Richard Blahut · 1974
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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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The real symplectic groups in quantum mechanics and optics
Arvind, B. Dutta, N. Mukunda, and R. Simon · 1995
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Strong converse and Stein’s lemma in quantum hypothesis testing
Tomohiro Ogawa and Hiroshi Nagaoka · 2000
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Inseparability criterion for continuous variable systems
Lu-Ming Duan, G. Giedke, J. I. Cirac, and P. Zoller · 2000
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Peres-Horodecki separability criterion for continuous variable systems
R. Simon · 2000
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Optimal sequence of quantum measurements in the sense of Stein’s lemma in quantum hypothesis testing
Masahito Hayashi · 2002
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Gaussian relative entropy of entanglement
Xiao-yu Chen · 2005
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The converse part of the theorem for quantum Hoeffding bound
Hiroshi Nagaoka · 2006
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Quantum Information Theory with Gaussian Systems
Ole Krueger · 2006
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Discriminating states: The quantum Chernoff bound
K. M. R. Audenaert, J. Calsamiglia, R. Muñoz Tapia, E. Bagan, Ll. Masanes, A. Acin, and F. Verstraete · 2007
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Error exponent in asymmetric quantum hypothesis testing and its application to classical-quantum channel coding
Masahito Hayashi · 2007
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Testing Statistical Hypotheses
Erich L. Lehmann and Joseph P. Romano · 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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Continuous variable quantum information: Gaussian states and beyond
Gerardo Adesso, Sammy Ragy, and Antony R. Lee · 2014
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Asymmetric quantum hypothesis testing with Gaussian states
Gaetana Spedalieri and Samuel L. Braunstein · 2014
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Entanglement-enhanced sensing in a lossy and noisy environment
Zheshen Zhang, Sara Mouradian, Franco N. C. Wong, and Jeffrey H. Shapiro · 2015
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Microwave quantum illumination
Shabir Barzanjeh, Saikat Guha, Christian Weedbrook, David Vitali, Jeffrey H. Shapiro, and Stefano Pirandola · 2015
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Second-order asymptotics for the classical capacity of image-additive quantum channels
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John Calsamiglia, Ramon Muñoz Tapia, Lluis Masanes, Antonio Acin, and Emilio Bagan · 2008
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Quantum illumination with Gaussian states
Si-Hui Tan, Baris I. Erkmen, Vittorio Giovannetti, Saikat Guha, Seth Lloyd, Lorenzo Maccone, Stefano Pirandola, and Jeffrey H. Shapiro · 2008
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Defeating passive eavesdropping with quantum illumination
Jeffrey H. Shapiro · 2009
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The entropy gain of infinite-dimensional quantum channels
Alexander S. Holevo · 2010
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Quantum hypothesis testing and non-equilibrium statistical mechanics
V. Jaksic, Y. Ogata, C.-A. Pillet, and R. Seiringer · 2012
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Quantum systems, channels, information: a mathematical introduction
Alexander S. Holevo · 2012
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A hierarchy of information quantities for finite block length analysis of quantum tasks
Marco Tomamichel and Masahito Hayashi · 2013
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Marco Tomamichel and Vincent Y. F. Tan · 2015
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Fundamental limits of repeaterless quantum communications
Stefano Pirandola, Riccardo Laurenza, Carlo Ottaviani, and Leonardo Banchi · 2015
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Upper bounds on secret key agreement over lossy thermal bosonic channels
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