Local transformation of mixed states of two qubits to Bell diagonal states

Details Local transformation of mixed states of two qubits to Bell diagonal states Local transformation of mixed states of two qubits to Bell diagonal states

2002-03-19

arxiv.org/abs/quant-ph/0203092v1

Phys. Rev. A 65, 052318 (2002)

Physics

Quantum Physics

5 pages, to be published in Phys. Rev. A

Scientific paper

10.1103/PhysRevA.65.052318

The optimal entanglement manipulation for a single copy of mixed states of two qubits is to transform it to a Bell diagonal state. In this paper we derive an explicit form of the local operation that can realize such a transformation. The result obtained is universal for arbitrary entangled two-qubit states and it discloses that the corresponding local filter is not unique for density matrices with rank $n=2$ and can be exclusively determined for that with $n=3$ and 4. As illustrations, a four-parameters family of mixed states are explored, the local filter as well as the transformation probability are given explicitly, which verify the validity of the general result.

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