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Best separable approximation with semi-definite programming method

M. A. Jafarizadeh·M. Mirzaee·M. Rezaee
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Abstract

The present methods for obtaining the optimal Lewenestein- Sanpera decomposition of a mixed state are difficult to handle analytically. We provide a simple analytical expression for the optimal Lewenstein-Sanpera decomposition by using semidefinite programming. Specially, we obtain the optimal Lewenstein-Sanpera decomposition for some examples such as: Bell decomposable state, Iso-concurrence state, generic two qubit state in Wootters's basis, $2\otimes 3$ Bell decomposable state, $d\otimes d$ Werner and isotropic states, a one parameter $3\otimes 3$ state and finally multi partite isotropic state.

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M. A. Jafarizadeh, M. Mirzaee, M. Rezaee. 2006-06-08. Best separable approximation with semi-definite programming method. https://arxiv.org/abs/quant-ph/0606075

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