6 research outputs found
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
POINTLESS SPACES IN GENERAL RELATIVITY
The new approach to quantize the gravity based on the notion of differential
algebra is suggested. It is shown that the differential geometry of this object
can not be described in terms of points. The spatialization procedure giving
rise to points by loosing a part of the entire structure is discussed. The
counterpart of the traditional objects of differential geometry are studied.Comment: 40 Kb, latex, no figures, paper accepted for publication in the
International Journal of Theoretical Physics (May 1995