New Invariants and Separability criterion of the Mixed States: Bipartite Case

Details New Invariants and Separability criterion of the Mixed States: Bipartite Case New Invariants and Separability criterion of the Mixed States: Bipartite Case

2001-07-23

arxiv.org/abs/quant-ph/0107111v2

Physics

Quantum Physics

12 pages, no figure

Scientific paper

We introduce algebraic sets in the complex projective spaces for the mixed
states in bipartite quantum systems as their invariants under local unitary
operations. The algebraic sets of the mixed state have to be the union of the
linear subspaces if the mixed state is separable. Some examples are given and
studied based on our criterion

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