Negativity as a distance from a separable state
arXiv:quant-ph/0701005 · doi:10.1103/PhysRevA.75.052325
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
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- The rise and fall of quantum and classical correlations in open-system dynamics
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- Entanglement of Multipartite Schmidt-correlated States
- Maximum entangled states and quantum Teleportation via Single Cooper pair Box
- Hierarchy of correlation quantifiers comparable to negativity
- Quantum entanglement in phase space
- A Complete Set of Local Invariants for a Family of Multipartite Mixed States
- Weak Schmidt decomposition and generalized Bell basis related to Hadamard matrices