The reduction of the closest disentangled states

Details The reduction of the closest disentangled states The reduction of the closest disentangled states

2002-03-18

arxiv.org/abs/quant-ph/0203084v3

J. Phys. A: Math. Gen., 35, 8075 (2002)

Physics

Quantum Physics

a crucial error was corrected

Scientific paper

10.1088/0305-4470/35/38/310

We study the closest disentangled state to a given entangled state in any system (multi-party with any dimension). We obtain the set of equations the closest disentangled state must satisfy, and show that its reduction is strongly related to the extremal condition of the local filtering on each party. Although the equations we obtain are not still tractable, we find some sufficient conditions for which the closest disentangled state has the same reduction as the given entangled state. Further, we suggest a prescription to obtain a tight upper bound of the relative entropy of entanglement in two-qubit systems.

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