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Probabilistic interpretation of the reduction criterion for entanglement
Zhang, Zhengmin; Luo, Shunlong
Source PublicationPHYSICAL REVIEW A
AbstractInspired by the idea of conditional probabilities, we introduce a variant of conditional density operators. But unlike the conditional probabilities which are bounded by 1, the conditional density operators may have eigenvalues exceeding 1 for entangled states. This has the consequence that although any bivariate classical probability distribution has a natural separable decomposition in terms of conditional probabilities, we do not have a quantum analogue of this separable decomposition in general. The "nonclassical" eigenvalues of conditional density operators are indications of entanglement. The resulting separability criterion turns out to be equivalent to the reduction criterion introduced by Horodecki [Phys. Rev. A 59, 4206 (1999)] and Cerf [Phys. Rev. A 60, 898 (1999)]. This supplies an intuitive probabilistic interpretation for the reduction criterion. The conditional density operators are also used to define a form of quantum conditional entropy which provides an alternative mechanism to reveal quantum discord.
WOS Research AreaOptics ; Physics
WOS SubjectOptics ; Physics, Atomic, Molecular & Chemical
WOS IDWOS:000245326300044
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Document Type期刊论文
Corresponding AuthorZhang, Zhengmin
Affiliation1.Carleton Univ, Sch Math & Stat, Ottawa, ON K1S 5B6, Canada
2.Chinese Acad Sci, Acad Math & Syst Sci, Beijing 100080, Peoples R China
Recommended Citation
GB/T 7714
Zhang, Zhengmin,Luo, Shunlong. Probabilistic interpretation of the reduction criterion for entanglement[J]. PHYSICAL REVIEW A,2007,75(3):3.
APA Zhang, Zhengmin,&Luo, Shunlong.(2007).Probabilistic interpretation of the reduction criterion for entanglement.PHYSICAL REVIEW A,75(3),3.
MLA Zhang, Zhengmin,et al."Probabilistic interpretation of the reduction criterion for entanglement".PHYSICAL REVIEW A 75.3(2007):3.
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