-
1
-
-
34247203085
-
-
Phys. Rev. Lett..
-
Audenaert, K. M. R., Calsamiglia, J., Masanes, Ll., Munoz-Tapia, R., Acin, A., Bagan, E., and Verstraete, F., " Discriminating states: the quantum Chernoff bound.," Phys. Rev. Lett. 98, 160501 (2007).
-
(2007)
Discriminating States: The Quantum Chernoff Bound
, vol.98
, pp. 160501
-
-
Audenaert, K.M.R.1
Calsamiglia, J.2
Masanes, Ll.3
Munoz-Tapia, R.4
Acin, A.5
Bagan, E.6
Verstraete, F.7
-
2
-
-
39549123002
-
-
Commun. Math. Phys..
-
Audenaert, K. M. R., Nussbaum, M., Szkoa, A., and Verstraete, F., " Asymptotic error rates in quantum hypothesis testing.," Commun. Math. Phys. 279, 251-283 (2008).
-
(2008)
Asymptotic Error Rates in Quantum Hypothesis Testing
, vol.279
, pp. 251-283
-
-
Audenaert, K.M.R.1
Nussbaum, M.2
Szkoa, A.3
Verstraete, F.4
-
3
-
-
2942733388
-
-
Commun. Math. Phys..
-
Bjelaković, I., and Siegmund-Schultze, R., " An ergodic theorem for the quantum relative entropy.," Commun. Math. Phys. 247, 697 (2004).
-
(2004)
An Ergodic Theorem for the Quantum Relative Entropy
, vol.247
, pp. 697
-
-
Bjelaković, I.1
Siegmund-Schultze, R.2
-
4
-
-
40249100115
-
-
Commun. Math. Phys..
-
Bjelakovic, I., Deuschel, J.-D., Krüger, T., Seiler, R., Siegmund-Schultze, Ra., and Szkoa, A., " Typical support and Sanov large deviations of correlated states.," Commun. Math. Phys. 279, 559-584 (2008).
-
(2008)
Typical Support and Sanov Large Deviations of Correlated States
, vol.279
, pp. 559-584
-
-
Bjelakovic, I.1
Deuschel, J.-D.2
Krüger, T.3
Seiler, R.4
Siegmund-Schultze, Ra.5
Szkoa, A.6
-
5
-
-
41549095046
-
-
Large Deviations Techniques and Applications, 2nd ed. Springer, Application of Mathematics Vol. (Springer, New York).
-
Dembo, A., and Zeitouni, O., Large Deviations Techniques and Applications, 2nd ed. Springer, Application of Mathematics Vol. 38 (Springer, New York, 1998).
-
(1998)
, vol.38
-
-
Dembo, A.1
Zeitouni, O.2
-
6
-
-
0013261413
-
-
Commun. Math. Phys..
-
Fannes, M., Nachtergaele, B., and Werner, R. F., " Finitely correlated states on quantum spin chains.," Commun. Math. Phys. 144, 443 (1992).
-
(1992)
Finitely Correlated States on Quantum Spin Chains
, vol.144
, pp. 443
-
-
Fannes, M.1
Nachtergaele, B.2
Werner, R.F.3
-
7
-
-
41549128074
-
-
Information-Spectrum Methods in Information Theory (Springer, New York).
-
Han, T. S., Information-Spectrum Methods in Information Theory (Springer, New York, 2003).
-
(2003)
-
-
Han, T.S.1
-
10
-
-
37649013048
-
-
J. Math. Phys..
-
Hiai, F., Mosonyi, M., and Ogawa, T., " Large deviations and Chernoff bound for certain correlated states on the spin chain.," J. Math. Phys. 48, 123301 (2007).
-
(2007)
Large Deviations and Chernoff Bound for Certain Correlated States on the Spin Chain
, vol.48
, pp. 123301
-
-
Hiai, F.1
Mosonyi, M.2
Ogawa, T.3
-
11
-
-
41549100632
-
-
Rev. Math. Phys. (to be published); e-print arXiv:0706.4148.
-
Hiai, F., Mosonyi, M., Ohno, H., and Petz, D., " Free energy density for mean field perturbation of states of a one-dimensional spin chain.," Rev. Math. Phys. (to be published); e-print arXiv:0706.4148.
-
Free Energy Density for Mean Field Perturbation of States of A One-dimensional Spin Chain
-
-
Hiai, F.1
Mosonyi, M.2
Ohno, H.3
Petz, D.4
-
12
-
-
0002499298
-
-
Commun. Math. Phys..
-
Hiai, F., and Petz, D., " The proper formula for relative entropy and its asymptotics in quantum probability.," Commun. Math. Phys. 143, 99 (1991).
-
(1991)
The Proper Formula for Relative Entropy and Its Asymptotics in Quantum Probability
, vol.143
, pp. 99
-
-
Hiai, F.1
Petz, D.2
-
13
-
-
0007203542
-
-
J. Funct. Anal..
-
Hiai, F., and Petz, D., " Entropy densities for algebraic states.," J. Funct. Anal. 125, 287 (1994).
-
(1994)
Entropy Densities for Algebraic States
, vol.125
, pp. 287
-
-
Hiai, F.1
Petz, D.2
-
15
-
-
41549136546
-
-
Perturbation Theory for Linear Operators (Springer, New York).
-
Kato, T., Perturbation Theory for Linear Operators (Springer, New York, 1980).
-
(1980)
-
-
Kato, T.1
-
18
-
-
41549114651
-
-
RIMS WorkshoMicro-Macro Duality in Quantum Analysis, Kyoto, 25-27 December (unpublished).
-
Nagaoka, H., RIMS Workshop Micro-Macro Duality in Quantum Analysis, Kyoto, 25-27 December 2006 (unpublished).
-
(2006)
-
-
Nagaoka, H.1
-
19
-
-
33847667401
-
-
IEEE Trans. Inf. Theory.
-
Nagaoka, H., and Hayashi, M., " An information-spectrum approach to classical and quantum hypothesis testing for simple hypotheses.," IEEE Trans. Inf. Theory 53, 534 (2007).
-
(2007)
An Information-spectrum Approach to Classical and Quantum Hypothesis Testing for Simple Hypotheses
, vol.53
, pp. 534
-
-
Nagaoka, H.1
Hayashi, M.2
-
21
-
-
0034316025
-
-
IEEE Trans. Inf. Theory.
-
Ogawa, T., and Nagaoka, H., " Strong converse and Stein's lemma in quantum hypothesis testing.," IEEE Trans. Inf. Theory 47, 2428 (2000).
-
(2000)
Strong Converse and Stein's Lemma in Quantum Hypothesis Testing
, vol.47
, pp. 2428
-
-
Ogawa, T.1
Nagaoka, H.2
-
22
-
-
2942640136
-
-
IEEE Trans. Inf. Theory.
-
Ogawa, T., and Hayashi, M., " On error exponents in quantum hypothesis testing.," IEEE Trans. Inf. Theory 50, 1368 (2004).
-
(2004)
On Error Exponents in Quantum Hypothesis Testing
, vol.50
, pp. 1368
-
-
Ogawa, T.1
Hayashi, M.2
-
25
-
-
0038576585
-
-
MIT Research Laboratory of Electronics Technical Report No. 482, (unpublished).
-
Yuen, H. P., " Communication theory of quantum systems.," MIT Research Laboratory of Electronics Technical Report No. 482, 1971 (unpublished).
-
(1971)
Communication Theory of Quantum Systems
-
-
Yuen, H.P.1
|