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Volumn 59, Issue 3, 1999, Pages 1799-1803

Entanglement processing and statistical inference: The Jaynes principle can produce fake entanglement

Author keywords

[No Author keywords available]

Indexed keywords

DATA ACQUISITION; ENTROPY; FUNCTIONS; INFORMATION THEORY; MATHEMATICAL MODELS; VECTORS;

EID: 0000924325     PISSN: 10502947     EISSN: 10941622     Source Type: Journal    
DOI: 10.1103/PhysRevA.59.1799     Document Type: Article
Times cited : (78)

References (45)
  • 2
    • 84931536371 scopus 로고
    • Am. J. Phys. 47, 188 (1979).
    • (1979) Am. J. Phys. , vol.47 , pp. 188
  • 6
    • 0011683836 scopus 로고
    • Am. J. Phys. 31, 66 (1963).
    • (1963) Am. J. Phys. , vol.31 , pp. 66
  • 11
    • 0008257781 scopus 로고    scopus 로고
    • for an extensive presentation of the use of the Jaynes principle, see W. T. Grandy, Am. J. Phys. 65, 466 (1997).
    • (1997) Am. J. Phys. , vol.65 , pp. 466
    • Grandy, W.T.1
  • 12
    • 18444374233 scopus 로고
    • The term "Jaynes principle" is due to the fact that it was Jaynes who interpreted maximization of entropy in terms of information as a primitive notion. Note that the idea of "information without probability" was independently proposed by R. S. Ingarden and K. Urbanik, Bull. Acad. Pol. Sci., Ser. Sci., Math., Astron. Phys. 9, 313 (1961).
    • (1961) Bull. Acad. Pol. Sci., Ser. Sci., Math., Astron. Phys. , vol.9 , pp. 313
    • Ingarden, R.S.1    Urbanik, K.2
  • 19
    • 18444373615 scopus 로고    scopus 로고
    • note
    • CHSH=a⊗b + a⊗b′+a′⊗b- a′⊗b′ where a,b,a′,b′ are dichotomic observables.
  • 23
    • 18444390629 scopus 로고    scopus 로고
    • note
    • For a review of entanglement measures and their properties, see Ref. [17] (see also [18]). In particular, entanglement measure is required to have an important property: it cannot increase under the operation consisting of local quantum operation and classical communication. The latter property implies that entanglement measures are convex functions.
  • 26
    • 18444409699 scopus 로고    scopus 로고
    • G. Vidal, e-print quant-ph/9807077
    • G. Vidal, e-print quant-ph/9807077.
  • 27
    • 18444367736 scopus 로고    scopus 로고
    • note
    • Since the constraints are linear, and entanglement measures are convex functions, the set of states with minimal entanglement is convex. Consequently, as entropy is a strictly convex function, maximizing entropy over the convex set we obtain a unique state.
  • 30
    • 4644359625 scopus 로고    scopus 로고
    • There is an analytical formula for entanglement of the formation of any two spin-1/2 state, see S. Hill and W. K. Wooters, Phys. Rev. Lett. 78, 5022 (1997);
    • (1997) Phys. Rev. Lett. , vol.78 , pp. 5022
    • Hill, S.1    Wooters, W.K.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.