Fetching the paper…
Reading the bibliography…
We present two general approaches to obtain the strong converse rate of quantum hypothesis testing for correlated quantum states.
U. Grenander, G. Szegő: Toeplitz Forms and their Applications ; University of California, Berkeley, (1958)
1958
Earlier work this paper cites.
A. Rényi: On measures of entropy and information ; Proc. 4th Berkeley Sympos. Math. Statist. and Prob., Vol. I, pp. 547–561, Univ. California Press, Berkeley, California, (1961)
1961
Earlier work this paper cites.
H. Umegaki: Conditional expectation in an operator algebra ; Kodai Math. Sem. Rep. 14
1962
Earlier work this paper cites.
W. Hoeffding: On probabilities of large deviations ; Proceedings of Symposium “the Fifth Berkeley Symposium on Mathematical Statistics and Probability”, pp. 203–219, Berkeley, University of California Press, (1965)
1965
Earlier work this paper cites.
H. Araki, Gibbs States of a one dimensional quantum lattice , Commun. Math. Phys. 14
1969
Earlier work this paper cites.
R.E. Blahut: Hypothesis testing and information theory ; IEEE Trans. Inform. Theory vol. 20, issue 4, pp. 405–417, (1974)
1974
Earlier work this paper cites.
H. Araki, On uniqueness of KMS states of one-dimensional quantum lattice systems , Commun. Math. Phys. 44
1975
Earlier work this paper cites.
Alfred Wehrl: General properties of entropy ; Rev. Mod. Phys. 50
1978
Earlier work this paper cites.
Didier Dacunha-Castelle: Formule de Chernoff pour une suite de variables réelles. In: Grandes Deviations et Applications Statistiques ; Astérisque 68
1979
Earlier work this paper cites.
T. Kato: Perturbation Theory for Linear Operators ; Springer, New York, (1980)
1980
Earlier work this paper cites.
Karol Vašek: On the error exponent for ergodic Markov source ; Kybernetika, vol. 16, no. 4, pp. 318–329, (1980)
1980
Earlier work this paper cites.
O. Bratteli, D.W. Robinson: Operator algebras and quantum statistical mechanics II. ; Springer, (1981)
1981
Earlier work this paper cites.
S. Natarajan: Large deviations, hypothesis testing, and source coding for finite Markov chains ; IEEE Transactions on Information Theory 31
1985
Earlier work this paper cites.
D. Petz: Quasi-entropies for finite quantum systems ; Rep. Math. Phys. 23
1986
Earlier work this paper cites.
T.S. Han and K. Kobayashi: The strong converse theorem for hypothesis testing ; IEEE Trans. Inform. Theory, vol. 35, pp. 178–180, (1989)
1989
Earlier work this paper cites.
F. Hiai, D. Petz: The proper formula for relative entropy and its asymptotics in quantum probability ; Comm. Math. Phys. 143
1991
Earlier work this paper cites.
M. Fannes, B. Nachtergaele, R.F. Werner: Finitely correlated states on quantum spin chains ; Commun. Math. Phys. 144
1992
Earlier work this paper cites.
Kenji Nakagawa, Fumio Kanaya: On the converse theorem in statistical hypothesis testing ; IEEE Transactions on Information Theory, vol. 39, no. 2, pp. 623–628, (1993)
1993
Earlier work this paper cites.
Kenji Nakagawa, Fumio Kanaya: On the converse theorem in statistical hypothesis testing for Markov chains ; IEEE Transactions on Information Theory, vol. 39, no. 2, pp. 629–633, (1993)
1993
Earlier work this paper cites.
M. Ohya, D. Petz: Quantum Entropy and its Use ; Springer, (1993)
1993
Cited alongside, same era.
I. Csiszár: Generalized cutoff rates and Rényi’s information measures ; IEEE Trans. Inf. Theory 41
1995
Cited alongside, same era.
R. Bhatia: Matrix Analysis ; Springer, (1997)
1997
Cited alongside, same era.
A. Dembo, O. Zeitouni: Large Deviations Techniques and Applications
1998
Cited alongside, same era.
Po-Ning Chen: Generalization of Gärtner-Ellis Theorem ; IEEE Transactions on Information Theory 46:7
2000
Cited alongside, same era.
T.S. Han: Hypothesis testing with the general source ; IEEE Trans. Inf. Theory, vol. 46, pp. 2415–2427, (2000)
2000
Cited alongside, same era.
B. Dierckx, M. Fannes, M. Pogorzelska: Fermionic Quasi-free States and Maps in Information Theory ; J. Math. Phys. 49
2008
Later among the works it cites.
F. Hiai, M. Mosonyi, T. Ogawa: Error exponents in hypothesis testing for correlated states on a spin chain ; J. Math. Phys. 49
2008
Later among the works it cites.
M. Mosonyi, F. Hiai, T. Ogawa, M. Fannes: Asymptotic distinguishability measures for shift-invariant quasifree states of fermionic lattice systems ; J. Math. Phys. 49
2008
Later among the works it cites.
N. Datta: Min- and Max-Relative Entropies and a New Entanglement Monotone ; IEEE Transactions on Information Theory, vol. 55, no. 6, pp. 2816–2826, (2009)
2009
Later among the works it cites.
M. Mosonyi: Hypothesis testing for Gaussian states on bosonic lattices ; J. Math. Phys. 50
2009
Later among the works it cites.
alphaXiv searches the wider corpus for related work and actual follow-ups.
alphaXiv is searching for related work…
T. Ogawa, H. Nagaoka: Strong converse and Stein’s lemma in quantum hypothesis testing ; IEEE Trans. Inform. Theory 47
2000
Cited alongside, same era.
M. Hayashi, Optimal sequence of POVM’s in the sense of Stein’s lemma in quantum hypothesis testing ; J. Phys. A: Math. Gen. 35
2002
Cited alongside, same era.
T.S. Han: Information-Spectrum Methods in Information Theory ; Springer-Verlag, Berlin, Germany, (2003)
2003
Cited alongside, same era.
M. Hayashi, T. Ogawa: On error exponents in quantum hypothesis testing ; IEEE Trans. Inf. Theory, vol. 50, issue 6, pp. 1368–1372, (2004)
2004
Cited alongside, same era.
H. Nagaoka: Strong converse theorems in quantum information theory ; in the book “Asymptotic Theory of Quantum Statistical Inference” edited by M. Hayashi, World Scientific, (2005)
2005
Cited alongside, same era.
R. Renner: Security of Quantum Key Distribution
2005
Cited alongside, same era.
M. Nussbaum, A. Szkoła: A lower bound of Chernoff type for symmetric quantum hypothesis testing ; Ann. Statist. 37
2009
Later among the works it cites.
M. Mosonyi, F. Hiai: On the quantum Rényi relative entropies and related capacity formulas ; IEEE Trans. Inf. Theory, 57
2011
Later among the works it cites.
Mark M. Wilde, Andreas Winter, Dong Yang: Strong converse for the classical capacity of entanglement-breaking and Hadamard channels ; Communications in Mathematical Physics, 331
2012
Later among the works it cites.
Salman Beigi: Quantum Rényi divergence satisfies data processing inequality ; J. Math. Phys., 54
2013
Later among the works it cites.
Rupert L. Frank and Elliott H. Lieb: Monotonicity of a relative Rényi entropy ; J. Math. Phys. 54 , 122201, (2013)
2013
Later among the works it cites.
F. Hiai: Concavity of certain matrix trace and norm functions ; Linear Algebra and Appl. 439
2013
Later among the works it cites.
2013
Later among the works it cites.
Martin Müller-Lennert, Frédéric Dupuis, Oleg Szehr, Serge Fehr, Marco Tomamichel: On quantum Renyi entropies: a new definition and some properties ; J. Math. Phys. 54
2013
Later among the works it cites.
Marco Tomamichel, Masahito Hayashi: A Hierarchy of information quantities for finite block length analysis of quantum tasks ; IEEE Transactions on Information Theory, Volume: 59 , Issue: 11, pp. 7693–7710, (2013)
2013
Later among the works it cites.
Masahito Hayashi: Large deviation analysis for quantum security via smoothing of Renyi entropy of order 2 ; IEEE Transactions on Information Theory, Volume 60, Issue 10, pp. 6702–6732, (2014)
2014
Closest in time.
2014
Closest in time.
2014
Closest in time.
Milán Mosonyi, Tomohiro Ogawa: Quantum hypothesis testing and the operational interpretation of the quantum Rényi relative entropies ; Communications in Mathematical Physics, Volume 334, Issue 3, pp. 1617–1648, (2015)
2015
Closest in time.