Separability Criteria For Arbitrary Quantum Systems

Details Separability Criteria For Arbitrary Quantum Systems Separability Criteria For Arbitrary Quantum Systems

2004-12-17

arxiv.org/abs/quant-ph/0412137v1

Physics

Quantum Physics

4 pages, 1 figures

Scientific paper

The purpose of this paper is to obtain a sufficient and necessary condition
as a criteria to test whether an arbitrary multipartite state is entangled or
not. Based on the tensor expression of a multipartite pure state, the paper
shows that a state is separable iff $| \mathbf{C}(\rho)| $ =0 for pure states
and iff $C(\rho)$ vanishes for mixed states.

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