TY - JOUR
T1 - Negativity as a distance from a separable state
AU - Khasin, M.
AU - Kosloff, R.
AU - Steinitz, D.
PY - 2007/5/21
Y1 - 2007/5/21
N2 - 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, the Peres-Horodecki criterion of separability is both necessary and sufficient for SC states. 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 bipartite evolutions with additive integrals of motion.
AB - 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, the Peres-Horodecki criterion of separability is both necessary and sufficient for SC states. 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 bipartite evolutions with additive integrals of motion.
UR - http://www.scopus.com/inward/record.url?scp=34347356493&partnerID=8YFLogxK
U2 - 10.1103/PhysRevA.75.052325
DO - 10.1103/PhysRevA.75.052325
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AN - SCOPUS:34347356493
SN - 1050-2947
VL - 75
JO - Physical Review A - Atomic, Molecular, and Optical Physics
JF - Physical Review A - Atomic, Molecular, and Optical Physics
IS - 5
M1 - 052325
ER -