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Quantum Stein's Lemma is a cornerstone of quantum statistics and concerns the problem of correctly identifying a quantum state, given the knowledge that it is one of two specific states ($\rho$ or $\sigma$).
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Operator algebras and quantum statistical mechanics. 2
O. Bratteli and D. W. Robinson · 1997
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Strong converse and Stein’s lemma in quantum hypothesis testing
T. Ogawa and H. Nagaoka · 2000
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Open quantum systems. I
S. Attal, A. Joye, and C.-A. Pillet, editors · 2003
Fermionic quasifree states and maps in information theory
B. Dierckx, M. Fannes, and M. Pogorzelska · 2008
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Error exponents in hypothesis testing for correlated states on a spin chain
F. Hiai, M. Mosonyi, and T. Ogawa · 2008
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Asymptotic distinguishability measures for shift-invariant quasifree states of fermionic lattice systems
M. Mosonyi, F. Hiai, T. Ogawa, and M. Fannes · 2008
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Asymptotic distinguishability measures for shift-invariant quasifree states of fermionic lattice systems
M. Mosonyi, F. Hiai, T. Ogawa, and M. Fannes · 2008
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Quantum hypothesis testing with group symmetry
F. Hiai, M. Mosonyi, and M. Hayashi · 2009
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The Chernoff lower bound for symmetric quantum hypothesis testing
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An Ergodic Theorem for the Quantum Relative Entropy
I. Bjelakovic and R. Siegmund-Schultze · 2004
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Large deviations for quantum spin systems
K. Netočný and F. Redig · 2004
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On error exponents in quantum hypothesis testing
T. Ogawa and M. Hayashi · 2004
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Discriminating states: The quantum Chernoff bound
K. M. R. Audenaert, J. Calsamiglia, R. Muñoz Tapia, E. Bagan, L. 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
M. Hayashi · 2007
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M. Nussbaum and A. Szkoła · 2009
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Quantum hypothesis testing and non-equilibrium statistical mechanics
V. Jakšić, Y. Ogata, C.-A. Pillet, and R. Seiringer · 2012
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Entropic fluctuations in quantum statistical mechanics. an introduction
V. Jakšić, Y. Ogata, Y. Pautrat, and C.-A. Pillet · 2012
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A hierarchy of information quantities for finite block length analysis of quantum tasks
M. Tomamichel and M. Hayashi · 2013
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Second-order asymptotics for quantum hypothesis testing
K. Li · 2014
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Asymptotic estimates in information theory with non-vanishing error probabilities
V. Y. F. Tan · 2014
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Second-order asymptotics for the classical capacity of image-additive quantum channels
M. Tomamichel and V. Y. Tan · 2015
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Second-order coding rates for pure-loss bosonic channels
M. M. Wilde, J. M. Renes, and S. Guha · 2015
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