Another convex combination of product states for the separable Werner state

Details Another convex combination of product states for the separable Werner state Another convex combination of product states for the separable Werner state

2006-01-07

arxiv.org/abs/quant-ph/0601044v2

Phys. Rev. A 73, 032315 (2006)

Physics

Quantum Physics

7 pages, Latex2e; v2: 9 pages, title changed, an appendix and a reference added, minor corrections

Scientific paper

10.1103/PhysRevA.73.032315

In this paper, we write down the separable Werner state in a two-qubit system explicitly as a convex combination of product states, which is different from the convex combination obtained by Wootters' method. The Werner state in a two-qubit system has a single real parameter and varies from inseparable state to separable state according to the value of its parameter. We derive a hidden variable model that is induced by our decomposed form for the separable Werner state. From our explicit form of the convex combination of product states, we understand the following: The critical point of the parameter for separability of the Werner state comes from positivity of local density operators of the qubits.

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