Asymptotic Error Rates in Quantum Hypothesis Testing

H. Chernoff, “A Measure of Asymptotic Efficiency for Tests of a Hypothesis based on the Sum of Observations”, Ann. Math. Stat. 23

1952

Earlier work this paper cites.

W. Hoeffding, “Asymptotically Optimal Tests for Multinomial Distributions”, Ann. Math. Statist. 36

1965

Earlier work this paper cites.

I. Csiszár and G. Longo, Studia Sci. Math. Hungarica 6

1971

Earlier work this paper cites.

A. Uhlmann, “Sätze über Dichtematrizen”, Wiss. Z. Karl-Marx Univ. Leipzig 20

1971

Earlier work this paper cites.

E.H. Lieb, “Convex trace functions and the Wigner-Yanase-Dyson conjecture”, Adv. Math. 11

1973

Earlier work this paper cites.

R.E. Blahut, “Hypothesis Testing and Information Theory”, IEEE Trans. Inf. Theory 20

1974

Earlier work this paper cites.

C.W. Helstrom, Quantum Detection and Estimation Theory

1976

Earlier work this paper cites.

A. Uhlmann, “The ‘transition probability’ in the state space of a *-algebra”, Rep. Math. Phys. 9

1976

Earlier work this paper cites.

A.S. Holevo, “On Asymptotically Optimal Hypothesis Testing in Quantum Statistics”, Theor. Prob. Appl. 23

1978

Earlier work this paper cites.

F. Hiai and D. Petz, “The proper formula for relative entropy and its asymptotics in quantum probability”, Commun. Math. Phys. 143

1991

Cited alongside, same era.

R. Bhatia, Matrix Analysis

1997

Cited alongside, same era.

A.W. van der Vaart, Asymptotic Statistics

1998

Cited alongside, same era.

E.A. Carlen and E.H. Lieb, Advances in Math. Sciences, AMS Transl. (2) 189

1999

Cited alongside, same era.

C.A. Fuchs and J. van de Graaf, “Cryptographic distinguishability measures for quantum-mechanical states”, IEEE Trans. Inf. Theory 45

1999

Cited alongside, same era.

T. Ogawa and H. Nagaoka, “Strong converse and Stein’s lemma in quantum hypothesis testing”, IEEE Trans. Inf. Theory 46

2000

I. Bjelaković, J.D. Deuschel, T. Krüger, R. Seiler, Ra. Siegmund-Schultze, A. Szkoła, “A quantum version of Sanov’s theorem”, Comm. Math. Phys. 260, 659-671 (2005)

2005

Later among the works it cites.

V. Kargin, “On the Chernoff distance for efficiency of quantum hypothesis testing,” Ann. Statist. 33

2005

Later among the works it cites.

M. Hayashi, Quantum Information, An Introduction

2006

Later among the works it cites.

M. Hayashi, “Error Exponent in Asymmetric Quantum Hypothesis Testing and Its Application to Classical-Quantum Channel coding”, arxiv.org E-print quant-ph/0611013 (2006)

2006

Later among the works it cites.

H. Nagaoka, “The Converse Part of The Theorem for Quantum Hoeffding Bound”, arxiv.org E-print quant-ph/0611289 (2006)

2006

Later among the works it cites.