Continuous optimal ensembles I: A geometrical characterization of robustly separable quantum states

Details Continuous optimal ensembles I: A geometrical characterization of robustly separable quantum states Continuous optimal ensembles I: A geometrical characterization of robustly separable quantum states

2005-03-21

arxiv.org/abs/quant-ph/0503173v1

Physics

Quantum Physics

Scientific paper

A geometrical characterization of robustly separable (that is, remaining separable under sufficiently small variiations) mixed states of a bipartite quantum system is given. It is shown that the density matrix of any such state can be represented as a normal vector to a hypersurface in the Euclidean space of all self-adjoint operators in the state space of the whole system. The expression for this hypersurface is provided.

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