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The concept of antidistinguishability of quantum states has been studied to investigate foundational questions in quantum mechanics.
α \alpha -Logarithmic negativity
Xin Wang and Mark M. Wilde · 1904
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Neue begründung der theorie quadratischer formen von unendlichvielen veränderlichen
Ernst Hellinger · 1909
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Simple communication complexity separation from quantum state antidistinguishability
Vojtěch Havlíček and Jonathan Barrett · 1911
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über die verteilung der wurzeln bei gewissen algebraischen gleichungen mit ganzzahligen koeffizienten
Michael Fekete · 1923
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Quantum mechanics of collision processes
Max Born · 1926
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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 general minimax theorems
Maurice Sion · 1958
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Conditional expectation in an operator algebra, IV (Entropy and information)
Hisaharu Umegaki · 1962
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Quantum detection and estimation theory
Carl W. Helstrom · 1969
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Stephen M. Barnett and Sarah Croke · 1970
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On the assumptions used to prove asymptotic normality of maximum likelihood estimates
L. LeCam · 1970
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An analogue of statistical decision theory and noncommutative probability theory
Alexander S. Holevo · 1972
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Proof of the strong subadditivity of quantum-mechanical entropy
Elliott H. Lieb and Mary Beth Ruskai · 1973
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Asymptotic properties of error probabilities of tests for distinguishing between several multinomial testing schemes
N. P. Salikhov · 1973
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Some properties of Matusita’s measure of affinity of several distributions
Godfried T. Toussaint · 1974
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Optimum testing of multiple hypotheses in quantum detection theory
H. Yuen, R. Kennedy, and M. Lax · 1975
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Lebesgue-type decomposition of positive operators
T. Ando · 1976
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Measures of information based on comparison with total information and with total ignorance
Erik N. Torgersen · 1981
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Filtered statistical models and Hellinger processes
Jean Jacod · 1989
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Comparison of Statistical Experiments
Erik N. Torgersen · 1991
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On Hellinger transforms for solutions of martingale problems
B. Grigelionis · 1993
Cited alongside, same era.
Equality cases in matrix norm inequalities of Golden-Thompson type
Fumio Hiai · 1994
Cited alongside, same era.
Probability and Measure
Patrick Billingsley · 1995
Cited alongside, same era.
Some properties of the Hellinger transform and its application in classification problems
I. Fazekas and F. Liese · 1996
Cited alongside, same era.
On the asymptotics of m m -hypothesis Bayesian detection
C. C. Leang and D. H. Johnson · 1997
Cited alongside, same era.
On one generalization of Chernov’s distance
N. P. Salikhov · 1999
Cited alongside, same era.
Theory of Statistics
Mark J. Schervish · 2012
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A new quantum version of f f -divergence, 2013
Keiji Matsumoto · 2013
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No ψ \psi -epistemic model can fully explain the indistinguishability of quantum states
Jonathan Barrett, Eric G. Cavalcanti, Raymond Lal, and Owen J. E. Maroney · 2014
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Conclusive exclusion of quantum states
Somshubhro Bandyopadhyay, Rahul Jain, Jonathan Oppenheim, and Christopher Perry · 2014
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Realization of quantum digital signatures without the requirement of quantum memory
Robert J. Collins, Ross J. Donaldson, Vedran Dunjko, Petros Wallden, Patrick J. Clarke, Erika Andersson, John Jeffers, and Gerald S. Buller · 2014
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Matthew Leifer and Cristhiano Duarte · 2001
Cited alongside, same era.
Conditions for compatibility of quantum-state assignments
Carlton M. Caves, Christopher A. Fuchs, and Rüdiger Schack · 2002
Cited alongside, same era.
Inequalities for quantum entropy: A review with conditions for equality
Mary Beth Ruskai · 2002
Cited alongside, same era.
Entanglement breaking channels
Michael Horodecki, Peter W. Shor, and Mary Beth Ruskai · 2003
Cited alongside, same era.
Optimal sequences of tests for several polynomial schemes of trials
N. P. Salikhov · 2003
Cited alongside, same era.
Optimal measurements for the dihedral hidden subgroup problem
Dave Bacon, Andrew M. Childs, and Wim Dam van Dam · 2006
Cited alongside, same era.
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A limit of the quantum Rényi divergence
Nilanjana Datta and Felix Leditzky · 2014
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Is the quantum state real? An extended review of ψ \psi -ontology theorems
Matthew Saul Leifer · 2014
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On maximization of measured f f -divergence between a given pair of quantum states, 2014
Keiji Matsumoto · 2014
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Quantum state discrimination and its applications
Joonwoo Bae and Leong-Chuan Kwek · 2015
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Quantum hypothesis testing and the operational interpretation of the quantum Rényi relative entropies
Milán Mosonyi and Tomohiro Ogawa · 2015
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Correlation detection and an operational interpretation of the Rényi mutual information
Masahito Hayashi and Marco Tomamichel · 2016
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Discriminating quantum states: The multiple Chernoff distance
Ke Li · 2016
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Probability-1
Albert N. Shiryaev · 2016
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Different quantum f-divergences and the reversibility of quantum operations
Fumio Hiai and Milán Mosonyi · 2017
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Quantum Information Theory
Mark M. Wilde · 2017
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Antidistinguishability of pure quantum states
Teiko Heinosaari and Oskari Kerppo · 2018
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A new quantum version of f f -divergence
Keiji Matsumoto · 2018
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Geometric relative entropies and barycentric Rényi divergences
Milán Mosonyi, Gergely Bunth, and Péter Vrana · 2022
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Monotonic multi-state quantum f-divergences
Keiichiro Furuya, Nima Lashkari, and Shoy Ouseph · 2023
Closest in time.
Inner products of pure states and their antidistinguishability
Vincent Russo and Jamie Sikora · 2023
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