Matrix permanent and quantum entanglement of permutation invariant states.
J MATH PHYS
, Article 092203. 10.1063/1.3464263.
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]
|Title:||Matrix permanent and quantum entanglement of permutation invariant states|
|Keywords:||matrix algebra, quantum entanglement, vectors, APPROXIMATE PERMANENTS, ALGORITHM|
|UCL classification:||UCL > School of BEAMS
UCL > School of BEAMS > Faculty of Engineering Science
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