Analytical formula connecting entangled state and the closest disentangled state

Details Analytical formula connecting entangled state and the closest disentangled state Analytical formula connecting entangled state and the closest disentangled state

2003-01-21

arxiv.org/abs/quant-ph/0301107v3

Phys. Rev. A 67, 060301(R) (2003)

Physics

Quantum Physics

4 pages. minor correction, refs were added

Scientific paper

10.1103/PhysRevA.67.060301

The separable state closest to a given entangled state in the relative entropy measure is called the closest disentangled state. We provide an analytical formula connecting the entangled state and the closest disentangled state in two qubits. Using this formula, when any disentangled state ($\sigma$) located at the entangle-disentangle boundary is given, entangled states to which $\sigma$ is closest can be obtained analytically. Further, this formula naturally defines the direction normal to the boundary surface. The direction is uniquely determined by $\sigma$ in almost all cases.

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