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Matrix permanent and quantum entanglement of permutation invariant states

Wei, TC; Severini, S; (2010) Matrix permanent and quantum entanglement of permutation invariant states. J MATH PHYS , 51 (9) , Article 092203. 10.1063/1.3464263.

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Abstract

We point out that a geometric measure of quantum entanglement is related to the matrix permanent when restricted to permutation invariant states. This connection allows us to interpret the permanent as an angle between vectors. By employing a recently introduced permanent inequality by Carlen et al. [Methods Appl. Anal. 13, 1 (2006)], we can prove explicit formulas of the geometric measure for permutation invariant basis states in a simple way. (C) 2010 American Institute of Physics. [doi:10.1063/1.3464263]

Type:Article
Title:Matrix permanent and quantum entanglement of permutation invariant states
DOI:10.1063/1.3464263
Keywords:matrix algebra, quantum entanglement, vectors, APPROXIMATE PERMANENTS, ALGORITHM
UCL classification:UCL > School of BEAMS > Faculty of Engineering Science > Computer Science

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