A Decomposition of Separable Werner States

Abstract

We derive an integral convex combination of product states for a range of separable Werner states. Our method consists of expanding the sought-after local density operators in terms of Wigner operators. For dimension d=2, our decomposition holds for the whole separable range of Werner states, while for d>2 it is valid for a subset of separable Werner states. We illustrate the general method with the explicit examples d=2 and d=3.

7 pages, 1 figures

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Cited by in corpus (6)

• Quantum Conical Designs
• Convex optimization over classes of multiparticle entanglement
• Algorithm for characterizing stochastic local operations and classical communication classes of multiparticle entanglement
• The Decompositions of Werner and Isotropic States
• Conical Designs and Categorical Jordan Algebraic Post-Quantum Theories
• Werner states from diagrams