Partial positive scaling transform: a separability criterion
نویسندگان
چکیده
منابع مشابه
Partial scaling transform of multiqubit states as a criterion of separability
The partial scaling transform of the density matrix for multiqubit states is introduced to detect entanglement of the quantum state. The transform contains partial transposition as a special case. The scaling transform corresponds to partial time scaling of subsystem (or partial Planck’s constant scaling) which was used to formulate recently separability criterion for continous variables. A mea...
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A quantum system consisting of two subsystems is separable if its density matrix can be written as ρ = ∑ A wA ρ ′ A ⊗ ρ ′′ A, where ρ ′ A and ρ ′′ A are density matrices for the two subsytems. In this Letter, it is shown that a necessary condition for separability is that a matrix, obtained by partial transposition of ρ, has only non-negative eigenvalues. This criterion is stronger than the Bel...
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1 This research has been supported by the NSF Grant SES-0001925. I am grateful to Hans Colonius, Helena Kadlec, James Townsend, Richard Schweickert, and, especially, Robin Thomas for discussions and criticism, and to Damir Dzhafarov and Radomil Dzhafarov for their help in preparation of the manuscript. Correspondence and reprint requests should be sent to Ehtibar N. Dzhafarov, Department of Psy...
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ژورنال
عنوان ژورنال: Physics Letters A
سال: 2005
ISSN: 0375-9601
DOI: 10.1016/j.physleta.2005.02.070