메뉴 건너뛰기




Volumn 143, Issue 6, 2011, Pages 1120-1135

Some General Properties of Unified Entropies

Author keywords

Fannes inequality; Lesche stability criterion; Quantum measurement; R nyi entropy; Subadditivity; Tsallis entropy

Indexed keywords


EID: 79959550749     PISSN: 00224715     EISSN: None     Source Type: Journal    
DOI: 10.1007/s10955-011-0231-x     Document Type: Article
Times cited : (72)

References (40)
  • 1
    • 41349092246 scopus 로고    scopus 로고
    • Stability of Tsallis entropy and instabilities of Rényi and normalized Tsallis entropies: a basis of q-exponential distributions
    • 046134
    • Abe, S.: Stability of Tsallis entropy and instabilities of Rényi and normalized Tsallis entropies: a basis of q-exponential distributions. Phys. Rev. E 66, 046134 (2002).
    • (2002) Phys. Rev. E , vol.66
    • Abe, S.1
  • 3
    • 0000242156 scopus 로고
    • Information-theoretical considerations on estimation problems
    • Arimoto, S.: Information-theoretical considerations on estimation problems. Inf. Control 19, 181-194 (1971).
    • (1971) Inf. Control , vol.19 , pp. 181-194
    • Arimoto, S.1
  • 4
    • 34548386697 scopus 로고    scopus 로고
    • Subadditivity of q-entropies for q>1
    • 083507
    • Audenaert, K.: Subadditivity of q-entropies for q>1. J. Math. Phys. 48, 083507 (2007).
    • (2007) J. Math. Phys. , vol.48
    • Audenaert, K.1
  • 5
    • 27844558812 scopus 로고    scopus 로고
    • Continuity bounds on the quantum relative entropy
    • 102104
    • Audenaert, K. M. R., Eisert, J.: Continuity bounds on the quantum relative entropy. J. Math. Phys. 26, 102104 (2005).
    • (2005) J. Math. Phys. , vol.26
    • Audenaert, K.M.R.1    Eisert, J.2
  • 8
    • 77952310431 scopus 로고    scopus 로고
    • Metric-adjusted skew information: convexity and restricted forms of superadditivity
    • Cai, L., Hansen, F.: Metric-adjusted skew information: convexity and restricted forms of superadditivity. Lett. Math. Phys. 93, 1-13 (2010).
    • (2010) Lett. Math. Phys. , vol.93 , pp. 1-13
    • Cai, L.1    Hansen, F.2
  • 9
    • 64549104859 scopus 로고    scopus 로고
    • On the stability of generalized entropies
    • 075205
    • Cao, X., Luo, S.: On the stability of generalized entropies. J. Phys. A, Math. Theor. 42, 075205 (2009).
    • (2009) J. Phys. A, Math. Theor. , vol.42
    • Cao, X.1    Luo, S.2
  • 10
    • 54749100076 scopus 로고    scopus 로고
    • Axiomatic characterizations of information measures
    • Csiszár, I.: Axiomatic characterizations of information measures. Entropy 10, 261-273 (2008).
    • (2008) Entropy , vol.10 , pp. 261-273
    • Csiszár, I.1
  • 11
    • 0000578987 scopus 로고
    • A continuity property of entropy density for spin lattice systems
    • Fannes, M.: A continuity property of entropy density for spin lattice systems. Commun. Math. Phys. 31, 291-294 (1973).
    • (1973) Commun. Math. Phys. , vol.31 , pp. 291-294
    • Fannes, M.1
  • 12
    • 33644630453 scopus 로고    scopus 로고
    • Information theoretical properties of Tsallis entropies
    • 023302
    • Furuichi, S.: Information theoretical properties of Tsallis entropies. J. Math. Phys. 47, 023302 (2006).
    • (2006) J. Math. Phys. , vol.47
    • Furuichi, S.1
  • 14
    • 0004305358 scopus 로고    scopus 로고
    • M. Gell-Mann and C. Tsallis (Eds.), Oxford: Oxford University Press
    • Gell-Mann, M., Tsallis, C. (eds.): Nonextensive Entropy-Interdisciplinary Applications. Oxford University Press, Oxford (2004).
    • (2004) Nonextensive Entropy-Interdisciplinary Applications
  • 15
    • 33847193188 scopus 로고    scopus 로고
    • The Wigner-Yanase entropy is not subadditive
    • Hansen, F.: The Wigner-Yanase entropy is not subadditive. J. Stat. Phys. 126, 643-648 (2007).
    • (2007) J. Stat. Phys. , vol.126 , pp. 643-648
    • Hansen, F.1
  • 16
    • 0002453010 scopus 로고
    • Quantification methods of classification processes: concept of structural α-entropy
    • Havrda, J., Charvát, F.: Quantification methods of classification processes: concept of structural α-entropy. Kybernetika 3, 30-35 (1967).
    • (1967) Kybernetika , vol.3 , pp. 30-35
    • Havrda, J.1    Charvát, F.2
  • 17
    • 33644629301 scopus 로고    scopus 로고
    • Generalised quantum entropies
    • 023502
    • Hu, X., Ye, Z.: Generalised quantum entropies. J. Math. Phys. 47, 023502 (2006).
    • (2006) J. Math. Phys. , vol.47
    • Hu, X.1    Ye, Z.2
  • 18
    • 0001992982 scopus 로고
    • A complete classification of quantum ensembles having a given density matrix
    • Hughston, L. P., Jozsa, R., Wootters, W. K.: A complete classification of quantum ensembles having a given density matrix. Phys. Lett. A 183, 14-18 (1993).
    • (1993) Phys. Lett. A , vol.183 , pp. 14-18
    • Hughston, L.P.1    Jozsa, R.2    Wootters, W.K.3
  • 19
    • 77958563426 scopus 로고    scopus 로고
    • A unified treatment of convexity of relative entropy and related trace functions, with conditions for equality
    • Jenčová, A., Ruskai, M. B.: A unified treatment of convexity of relative entropy and related trace functions, with conditions for equality. Rev. Math. Phys. 22, 1099-1121 (2010).
    • (2010) Rev. Math. Phys. , vol.22 , pp. 1099-1121
    • Jenčová, A.1    Ruskai, M.B.2
  • 20
    • 3142672769 scopus 로고    scopus 로고
    • The world according to Rényi: thermodynamics of multifractal systems
    • Jizba, P., Arimitsu, T.: The world according to Rényi: thermodynamics of multifractal systems. Ann. Phys. 312, 17-59 (2004).
    • (2004) Ann. Phys. , vol.312 , pp. 17-59
    • Jizba, P.1    Arimitsu, T.2
  • 21
    • 0033719037 scopus 로고    scopus 로고
    • Nonextensive thermodynamic formalism for chaotic dynamical systems
    • Johal, R. S., Rai, R.: Nonextensive thermodynamic formalism for chaotic dynamical systems. Physica A 282, 525-535 (2000).
    • (2000) Physica A , vol.282 , pp. 525-535
    • Johal, R.S.1    Rai, R.2
  • 22
    • 0012570835 scopus 로고
    • Instability of Rényi entropies
    • Lesche, B.: Instability of Rényi entropies. J. Stat. Phys. 27, 419-422 (1982).
    • (1982) J. Stat. Phys. , vol.27 , pp. 419-422
    • Lesche, B.1
  • 24
    • 34547822534 scopus 로고    scopus 로고
    • Notes on superadditivity of Wigner-Yanase-Dyson information
    • Luo, S.: Notes on superadditivity of Wigner-Yanase-Dyson information. J. Stat. Phys. 128, 1177-1188 (2007).
    • (2007) J. Stat. Phys. , vol.128 , pp. 1177-1188
    • Luo, S.1
  • 25
    • 4944226761 scopus 로고    scopus 로고
    • Continuity of a class of entropies and relative entropies
    • Naudts, J.: Continuity of a class of entropies and relative entropies. Rev. Math. Phys. 16, 809-822 (2004).
    • (2004) Rev. Math. Phys. , vol.16 , pp. 809-822
    • Naudts, J.1
  • 27
    • 0002988067 scopus 로고
    • Quasi-entropies for finite quantum systems
    • Petz, D.: Quasi-entropies for finite quantum systems. Rep. Math. Phys. 21, 57-65 (1986).
    • (1986) Rep. Math. Phys. , vol.21 , pp. 57-65
    • Petz, D.1
  • 29
    • 21844502823 scopus 로고
    • Properties of q-entropies
    • Raggio, G. A.: Properties of q-entropies. J. Math. Phys. 36, 4785-4791 (1995).
    • (1995) J. Math. Phys. , vol.36 , pp. 4785-4791
    • Raggio, G.A.1
  • 30
    • 71549124973 scopus 로고    scopus 로고
    • Some properties of partial fidelities
    • Rastegin, A. E.: Some properties of partial fidelities. Quantum Inf. Comput. 9, 1069-1080 (2009).
    • (2009) Quantum Inf. Comput. , vol.9 , pp. 1069-1080
    • Rastegin, A.E.1
  • 31
    • 78149496229 scopus 로고    scopus 로고
    • Continuity and stability of partial entropic sums
    • Rastegin, A. E.: Continuity and stability of partial entropic sums. Lett. Math. Phys. 94, 229-242 (2010).
    • (2010) Lett. Math. Phys. , vol.94 , pp. 229-242
    • Rastegin, A.E.1
  • 33
    • 79551556050 scopus 로고    scopus 로고
    • Bounds on Shannon distinguishability in terms of partitioned measures
    • Rastegin, A. E.: Bounds on Shannon distinguishability in terms of partitioned measures. Quantum Inf. Process. 10, 123-138 (2011).
    • (2011) Quantum Inf. Process. , vol.10 , pp. 123-138
    • Rastegin, A.E.1
  • 34
    • 79951846130 scopus 로고    scopus 로고
    • Entropic uncertainty relations for extremal unravelings of super-operators
    • 095303
    • Rastegin, A. E.: Entropic uncertainty relations for extremal unravelings of super-operators. J. Phys. A, Math. Theor. 44, 095303 (2011).
    • (2011) J. Phys. A, Math. Theor. , vol.44
    • Rastegin, A.E.1
  • 35
    • 0002408684 scopus 로고
    • On measures of entropy and information
    • J. Neyman (Ed.), Berkeley: University of California Press
    • Rényi, A.: On measures of entropy and information. In: Neyman, J. (ed.) Proceedings of 4th Berkeley Symposium on Mathematical Statistics and Probability, vol. I, pp. 547-561. University of California Press, Berkeley (1961).
    • (1961) Proceedings of 4th Berkeley Symposium on Mathematical Statistics and Probability , vol.I , pp. 547-561
    • Renyi, A.1
  • 36
    • 34250893804 scopus 로고    scopus 로고
    • On the failure of subadditivity of the Wigner-Yanase entropy
    • Seiringer, R.: On the failure of subadditivity of the Wigner-Yanase entropy. Lett. Math. Phys. 80, 285-288 (2007).
    • (2007) Lett. Math. Phys. , vol.80 , pp. 285-288
    • Seiringer, R.1
  • 37
    • 33646516485 scopus 로고
    • Possible generalization of Boltzmann-Gibbs statistics
    • Tsallis, C.: Possible generalization of Boltzmann-Gibbs statistics. J. Stat. Phys. 52, 479-487 (1988).
    • (1988) J. Stat. Phys. , vol.52 , pp. 479-487
    • Tsallis, C.1
  • 38
    • 0003293190 scopus 로고    scopus 로고
    • Nonextensive statistical mechanics and thermodynamics: historical background and present status
    • Lecture Notes in Physics, S. Abe and Y. Okamoto (Eds.), Berlin: Springer
    • Tsallis, C.: Nonextensive statistical mechanics and thermodynamics: historical background and present status. In: Abe, S., Okamoto, Y. (eds.) Nonextensive Statistical Mechanics and Its Applications. Lecture Notes in Physics, vol. 560, pp. 3-98. Springer, Berlin (2001).
    • (2001) Nonextensive Statistical Mechanics and Its Applications , vol.560 , pp. 3-98
    • Tsallis, C.1
  • 39
    • 5844266551 scopus 로고
    • General properties of entropy
    • Wehrl, A.: General properties of entropy. Rev. Mod. Phys. 50, 221-260 (1978).
    • (1978) Rev. Mod. Phys. , vol.50 , pp. 221-260
    • Wehrl, A.1
  • 40
    • 34248366161 scopus 로고    scopus 로고
    • Uniform estimates on the Tsallis entropies
    • Zhang, Z.: Uniform estimates on the Tsallis entropies. Lett. Math. Phys. 80, 171-181 (2007).
    • (2007) Lett. Math. Phys. , vol.80 , pp. 171-181
    • Zhang, Z.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.