Separability of n-particle mixed states: necessary and sufficient conditions in terms of linear maps

Details Separability of n-particle mixed states: necessary and sufficient conditions in terms of linear maps Separability of n-particle mixed states: necessary and sufficient conditions in terms of linear maps

2000-06-15

arxiv.org/abs/quant-ph/0006071v1

Physics

Quantum Physics

RevTeX, 7 pages

Scientific paper

10.1016/S0375-9601(01)00142-6

We provide necessary and sufficient conditions for separability of mixed states of n-particle systems. The conditions are formulated in terms of maps which are positive on product states of $n-1$ particles. The method of providing of the maps on the basis of unextendable product bases is provided. The three qubit state problem is reformulated in the form suggesting possibility of explicite characterisation of all maps needed for separability condition.

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