57 research outputs found
Polyhedral representations of discrete differential manifolds
Any discrete differential manifold (finite set endowed with an algebraic
differential calculus) can be represented by appropriate polyhedron . This representation demonstrates the adequacy of the calculus of
discrete differential manifolds and links this approach with that based on
finitary substitutes of continuous spaces introduced by R.D.Sorkin.Comment: LaTeX, 35 Kb, submitted to JM
Husimi coordinates of multipartite separable states
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.Comment: 19 pages, 1 figure, LaTe
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