Physics – Quantum Physics
Scientific paper
2009-04-30
J. Math. Phys. 51, 092203 (2010)
Physics
Quantum Physics
10 pages
Scientific paper
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, Loss and Lieb, we can prove explicit formulas of the geometric measure for permutation invariant basis states in a simple way.
Severini Simone
Wei Tzu-Chieh
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