메뉴 건너뛰기




Volumn 48, Issue 12, 2007, Pages

Large deviations and Chernoff bound for certain correlated states on a spin chain

Author keywords

[No Author keywords available]

Indexed keywords


EID: 37649013048     PISSN: 00222488     EISSN: None     Source Type: Journal    
DOI: 10.1063/1.2812417     Document Type: Article
Times cited : (48)

References (35)
  • 1
    • 37648998648 scopus 로고
    • Proceedings of the School of Mathematical Physics Camerino
    • Accardi, L., Proceedings of the School of Mathematical Physics Camerino, 1974, pp. 268-295.
    • (1974) , pp. 268-295
    • Accardi, L.1
  • 3
    • 0001069474 scopus 로고
    • Gibbs States of a one dimensional quantum lattice
    • Araki, H., " Gibbs States of a one dimensional quantum lattice., " Commun. Math. Phys. 14, 120-157 (1969).
    • (1969) Commun. Math. Phys. , vol.14 , pp. 120-157
    • Araki, H.1
  • 4
    • 0001383425 scopus 로고
    • On uniqueness of KMS states of one-dimensional quantum lattice systems
    • Araki, H., " On uniqueness of KMS states of one-dimensional quantum lattice systems., " Commun. Math. Phys. 44, 1-7 (1975).
    • (1975) Commun. Math. Phys. , vol.44 , pp. 1-7
    • Araki, H.1
  • 5
    • 0039174871 scopus 로고
    • Proceedings of the International School of Physics (Enrico Fermi)
    • Araki, H., Proceedings of the International School of Physics (Enrico Fermi) 1976, pp. 64-100.
    • (1976) , pp. 64-100
    • Araki, H.1
  • 6
    • 0011332318 scopus 로고
    • On the equivalence of KMS and Gibbs conditions for states of quantum lattice systems
    • Araki, H., and Ion, P. D. F., " On the equivalence of KMS and Gibbs conditions for states of quantum lattice systems., " Commun. Math. Phys. 35, 1-12 (1974).
    • (1974) Commun. Math. Phys. , vol.35 , pp. 1-12
    • Araki, H.1    Ion, P.D.F.2
  • 8
    • 0002617758 scopus 로고
    • The large deviation principle and some models of an interacting boson gas
    • van den Berg, M., Lewis, J. T., and Pule, J. V., " The large deviation principle and some models of an interacting boson gas., " Commun. Math. Phys. 118, 61-85 (1988).
    • (1988) Commun. Math. Phys. , vol.118 , pp. 61-85
    • Van Den Berg, M.1    Lewis, J.T.2    Pule, J.V.3
  • 9
    • 0010970833 scopus 로고
    • Monotonic converging variational approximations to the functional integrals in quantum statistical mechanics
    • Bessis, D., Moussa, P., and Villani, M., " Monotonic converging variational approximations to the functional integrals in quantum statistical mechanics., " J. Math. Phys. 16, 2318-2325 (1975).
    • (1975) J. Math. Phys. , vol.16 , pp. 2318-2325
    • Bessis, D.1    Moussa, P.2    Villani, M.3
  • 14
    • 0016522050 scopus 로고
    • Completely positive linear maps on complex matrices
    • Choi, M. D., " Completely positive linear maps on complex matrices., " Linear Algebr. Appl. 10, 285-290 (1975).
    • (1975) Linear Algebr. Appl. , vol.10 , pp. 285-290
    • Choi, M.D.1
  • 16
    • 0041012479 scopus 로고
    • Spectral properties of positive maps on C* -algebras
    • Evans, D. E., and Hoegh-Krohn, R., " Spectral properties of positive maps on C* -algebras., " J. Lond. Math. Soc. 17, 345-355 (1978).
    • (1978) J. Lond. Math. Soc. , vol.17 , pp. 345-355
    • Evans, D.E.1    Hoegh-Krohn, R.2
  • 17
    • 0013261413 scopus 로고
    • Finitely correlated states on quantum spin chains
    • Fannes, M., Nachtergaele, B., and Werner, R. F., " Finitely correlated states on quantum spin chains., " Commun. Math. Phys. 144, 443-490 (1992).
    • (1992) Commun. Math. Phys. , vol.144 , pp. 443-490
    • Fannes, M.1    Nachtergaele, B.2    Werner, R.F.3
  • 21
    • 0007203542 scopus 로고
    • Entropy densities for algebraic states
    • Hiai, F., and Petz, D., " Entropy densities for algebraic states., " J. Funct. Anal. 125, 287-308 (1994).
    • (1994) J. Funct. Anal. , vol.125 , pp. 287-308
    • Hiai, F.1    Petz, D.2
  • 24
    • 0034345431 scopus 로고    scopus 로고
    • Large deviations for ideal quantum systems
    • Lebowitz, J. L., Lenci, M., and Spohn, H., " Large deviations for ideal quantum systems., " J. Math. Phys. 41, 1224-1243 (2000).
    • (2000) J. Math. Phys. , vol.41 , pp. 1224-1243
    • Lebowitz, J.L.1    Lenci, M.2    Spohn, H.3
  • 25
    • 21644479421 scopus 로고    scopus 로고
    • Large deviations in quantum lattice systems, One-phase region
    • Lenci, M., and Rey-Bellet, L., " Large deviations in quantum lattice systems, One-phase region., " J. Stat. Phys. 119, 715-746 (2005).
    • (2005) J. Stat. Phys. , vol.119 , pp. 715-746
    • Lenci, M.1    Rey-Bellet, L.2
  • 26
    • 3543041882 scopus 로고    scopus 로고
    • Equivalent forms of the Bessis-Moussa-Villani conjecture
    • Lieb, E. H., and Seiringer, R., " Equivalent forms of the Bessis-Moussa-Villani conjecture., " J. Stat. Phys. 115, 185-190 (2004).
    • (2004) J. Stat. Phys. , vol.115 , pp. 185-190
    • Lieb, E.H.1    Seiringer, R.2
  • 27
    • 7244236799 scopus 로고    scopus 로고
    • Large deviations for quantum spin systems
    • Netočny, K., and Redig, F., " Large deviations for quantum spin systems., " J. Stat. Phys. 117, 521-547 (2004).
    • (2004) J. Stat. Phys. , vol.117 , pp. 521-547
    • Netočny, K.1    Redig, F.2
  • 28
    • 37649023017 scopus 로고    scopus 로고
    • The Chernoff lower bound for symmetric quantum hypothesis testing
    • arXiv:quant-ph0607216
    • Nussbaum, M., and Szkoa, A., " The Chernoff lower bound for symmetric quantum hypothesis testing., " e-print arXiv:quant-ph0607216, Ann. Statist. (to be published).
    • Ann. Statist.
    • Nussbaum, M.1    Szkoa, A.2
  • 29
    • 21644469152 scopus 로고
    • First steps towards a Donsker and Varadhan theory in operator algebras
    • Petz, D., " First steps towards a Donsker and Varadhan theory in operator algebras., " Lect. Notes Math. 1442, 311-319 (1990).
    • (1990) Lect. Notes Math. , vol.1442 , pp. 311-319
    • Petz, D.1
  • 30
    • 0002988067 scopus 로고
    • Quasi-entropies for finite quantum systems
    • Petz, D., " Quasi-entropies for finite quantum systems., " Rep. Math. Phys. 23, 57-65 (1986).
    • (1986) Rep. Math. Phys. , vol.23 , pp. 57-65
    • Petz, D.1
  • 31
    • 0040189428 scopus 로고
    • Asymptotics of Varadhan-type and the Gibbs variational principle
    • Petz, D., Raggio, G. P., and Verbeure, A., " Asymptotics of Varadhan-type and the Gibbs variational principle., " Commun. Math. Phys. 121, 271-282 (1989).
    • (1989) Commun. Math. Phys. , vol.121 , pp. 271-282
    • Petz, D.1    Raggio, G.P.2    Verbeure, A.3


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.