Another convex combination of product states for the separable Werner state

Abstract

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.

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

References in corpus (7)

• Entanglement of Formation of an Arbitrary State of Two Qubits
• Mixed State Entanglement and Quantum Error Correction
• Separability Criterion for Density Matrices
• Separability of Mixed States: Necessary and Sufficient Conditions
• Bell's inequalities and density matrices. Revealing hidden nonlocality.
• Multi-Particle Entanglement Purification Protocols
• Local and Nonlocal Properties of Werner States

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• Conical Designs and Categorical Jordan Algebraic Post-Quantum Theories
• Generating quantum dissonance via local operations
• A Non-Convex Optimization Strategy for Computing Convex-Roof Entanglement
• Classical simulation of noisy quantum circuits via locally entanglement-optimal unravelings