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Abstract: A parametrization of multipartite separable states in a finite-dimensionalHilbert space is suggested. It is proved to be a diffeomorphism between the setof zero-trace operators and the interior of the set of separable densityoperators. The result is applicable to any tensor product decomposition of thestate space. An analytical criterion for separability of density operators isestablished in terms of the boundedness of a sequence of operators.



Author: Georges Parfionov, Roman R. Zapatrin

Source: https://arxiv.org/







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