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Volumn 68, Issue 1, 2004, Pages 19-30

Structure of sufficient quantum coarse-grainings

Author keywords

coarse graining; quantum states; strong subadditivity of entropy; sufficiency; transpose mapping

Indexed keywords


EID: 9744237243     PISSN: 03779017     EISSN: None     Source Type: Journal    
DOI: 10.1007/s11005-004-4072-2     Document Type: Article
Times cited : (35)

References (18)
  • 1
    • 0001216606 scopus 로고
    • Conditional expectations in von Neumann algebras and a theorem of Takesaki
    • Accardi, L. and Cecchini, C.: Conditional expectations in von Neumann algebras and a theorem of Takesaki, J. Funct. Anal. 45 (1982), 245-273.
    • (1982) J. Funct. Anal. , vol.45 , pp. 245-273
    • Accardi, L.1    Cecchini, C.2
  • 3
    • 0035981791 scopus 로고    scopus 로고
    • Reversing quantum dynamics with near optimal quantum and classical fidelity
    • Barnum, H. and Knill, E.: Reversing quantum dynamics with near optimal quantum and classical fidelity, J. Math. Phys. 43 (2002), 2097-2106.
    • (2002) J. Math. Phys. , vol.43 , pp. 2097-2106
    • Barnum, H.1    Knill, E.2
  • 4
    • 2142702206 scopus 로고    scopus 로고
    • Structure of states which satisfy strong subadditivity of quantum entropy with equality
    • to be published
    • Hayden, P., Jozsa, R., Petz, D. and Winter, A.: Structure of states which satisfy strong subadditivity of quantum entropy with equality, to be published in Comm. Math. Phys.
    • Comm. Math. Phys.
    • Hayden, P.1    Jozsa, R.2    Petz, D.3    Winter, A.4
  • 5
    • 0036701961 scopus 로고    scopus 로고
    • Operations that do not disturb partially known quantum states
    • Koashi, M. and Imoto, N.: Operations that do not disturb partially known quantum states, Phys. Rev. A 66 (2002), 022318.
    • (2002) Phys. Rev. A , vol.66 , pp. 022318
    • Koashi, M.1    Imoto, N.2
  • 6
    • 0004967775 scopus 로고
    • Proof of the strong subadditivity of quantum mechanical entropy
    • Lieb, E. H. and Ruskai, M. B.: Proof of the strong subadditivity of quantum mechanical entropy, J. Math. Phys. 14 (1973), 1938-1941.
    • (1973) J. Math. Phys. , vol.14 , pp. 1938-1941
    • Lieb, E.H.1    Ruskai, M.B.2
  • 9
    • 17144407907 scopus 로고    scopus 로고
    • Translation-invariant quantum Markov states
    • to be published
    • Ohno, H.: Translation-invariant quantum Markov states, to be published in Interdise. Inf. Sci.
    • Interdise. Inf. Sci.
    • Ohno, H.1
  • 10
    • 0000908915 scopus 로고
    • A dual in von Neumann algebras
    • Petz, D.: A dual in von Neumann algebras, Quart. J. Math. Oxford 35 (1984), 475-483.
    • (1984) Quart. J. Math. Oxford , vol.35 , pp. 475-483
    • Petz, D.1
  • 11
    • 77957179449 scopus 로고
    • Sufficiency of channels over von Neumann algebras
    • Petz, D.: Sufficiency of channels over von Neumann algebras, Quart. J. Math. Oxford, 39 (1988), 907-1008.
    • (1988) Quart. J. Math. Oxford , vol.39 , pp. 907-1008
    • Petz, D.1
  • 12
    • 9744229451 scopus 로고
    • Characterization of sufficient observation channels
    • Leuven University Press
    • Petz, D.: Characterization of sufficient observation channels, In: Mathematical Methods in Statistical Mechanics, Leuven University Press, 1989, pp. 167-178.
    • (1989) Mathematical Methods in Statistical Mechanics , pp. 167-178
    • Petz, D.1
  • 13
    • 0040207423 scopus 로고
    • Entropy of Markov states
    • Petz, D.: Entropy of Markov states, Riv. Math. Pura Appl. 14 (1994), 33-42.
    • (1994) Riv. Math. Pura Appl. , vol.14 , pp. 33-42
    • Petz, D.1
  • 14
    • 0037339343 scopus 로고    scopus 로고
    • Monotonicity of quantum relative entropy revisited
    • Petz, D.: Monotonicity of quantum relative entropy revisited, Rev. Math. Phys. 15 (2003), 79-91.
    • (2003) Rev. Math. Phys. , vol.15 , pp. 79-91
    • Petz, D.1
  • 15
    • 0035981724 scopus 로고    scopus 로고
    • Inequalities for quantum entropy: A review with conditions with equality
    • Ruskai, M. B.: Inequalities for quantum entropy: A review with conditions with equality, J. Math. Phys. 43 (2002), 4358-4375.
    • (2002) J. Math. Phys. , vol.43 , pp. 4358-4375
    • Ruskai, M.B.1
  • 18
    • 33646924067 scopus 로고
    • Conditional expectations in von Neumann algebras
    • Takesaki, M.: Conditional expectations in von Neumann algebras, J. Funct. Anal. 9 (1972), 306-321.
    • (1972) J. Funct. Anal. , vol.9 , pp. 306-321
    • Takesaki, M.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.