Negativity as a distance from a separable state

Abstract

The computable measure of the mixed-state entanglement, the negativity, is shown to admit a clear geometrical interpretation, when applied to Schmidt-correlated (SC) states: the negativity of a SC state equals a distance of the state from a pertinent separable state. As a consequence, a SC state is separable if and only if its negativity vanishes. Another remarkable consequence is that the negativity of a SC can be estimated "at a glance" on the density matrix. These results are generalized to mixtures of SC states, which emerge in certain quantum-dynamical settings.

9 pages, 1 figure

References in corpus (1)

• Finding a maximally correlated state - Simultaneous Schmidt decomposition of bipartite pure states

Cited by in corpus (4)

• Entanglement of Multipartite Schmidt-correlated States
• The rise and fall of quantum and classical correlations in open-system dynamics
• Maximum entangled states and quantum Teleportation via Single Cooper pair Box
• A Complete Set of Local Invariants for a Family of Multipartite Mixed States