Satoshi Ishizaka 2002 J. Phys. A: Math. Gen. 35 8075 doi:10.1088/0305-4470/35/38/310
The reduction of the closest disentangled states
Satoshi Ishizaka
Show affiliationsWe 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.
- PACS
- MSC
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81P68 Quantum computation and quantum cryptography (See also 68Q05, 94A60)
- Subjects
- Dates
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Issue 38 (27 September 2002)
Received 19 April 2002, in final form 16 July 2002
Published 12 September 2002
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The reduction of the closest disentangled states
Satoshi Ishizaka 2002 J. Phys. A: Math. Gen. 35 8075
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