Husimi coordinates of multipartite separable states
Georges Parfionov, Roman R. Zapatrin
TL;DR
This paper introduces a new parametrization of multipartite separable states in finite-dimensional quantum systems, providing a mathematical framework to analyze and determine separability through an analytical criterion.
Contribution
It proposes a diffeomorphic parametrization of separable states and establishes an analytical separability criterion based on operator boundedness.
Findings
Parametrization is a diffeomorphism between zero-trace operators and interior of separable states.
Analytical criterion for separability based on boundedness of operator sequences.
Applicable to any tensor product decomposition of the state space.
Abstract
A parametrization of multipartite separable states in a finite-dimensional Hilbert space is suggested. It is proved to be a diffeomorphism between the set of zero-trace operators and the interior of the set of separable density operators. The result is applicable to any tensor product decomposition of the state space. An analytical criterion for separability of density operators is established in terms of the boundedness of a sequence of operators.
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