Classification of the separable maps which preserve Werner states

Details Classification of the separable maps which preserve Werner states Classification of the separable maps which preserve Werner states

2008-02-12

arxiv.org/abs/0802.1708v1

Phys. Rev. A 78, 034303 (2008)

Physics

Quantum Physics

4 pages

Scientific paper

We classify the completely-positive maps acting on two $d$-dimensional systems which commute with all $U\otimes U$ unitaries, where $U\in SU(d)$. This set of operations map Werner states to Werner states. We find a simple condition for a map being implementable by stochastic local operations and classical communication (SLOCC). We show that all PPT-preserving maps can be implemented by SLOCC. This can be used to prove that the entanglement of Werner states cannot be stochastically increased, even if we allow PPT entanglement for free.

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