Journal
JOURNAL OF MATHEMATICAL PHYSICS
Volume 51, Issue 9, Pages -Publisher
AMER INST PHYSICS
DOI: 10.1063/1.3464263
Keywords
matrix algebra; quantum entanglement; vectors
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Funding
- DTOARO
- ORDCF
- CFI
- CIFAR
- MITACS
- Newton International Fellowship
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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]
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