Quantum entanglement and approximation by positive matrices [PDF]
Xiaofen Huang, Naihuan JingWe give an exact solution to the nonlinear optimization problem of approximating a Hermitian matrix by positive semi-definite matrices. Our algorithm was then used to judge whether a quantum state is entangled or not. We show that the exact approximation of a density matrices by tensor product of positive semi-definite operators is determined by the additivity property of the density matrix.View original: http://arxiv.org/abs/1207.2827
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