2009/05/31 by Tzu-Chieh Wei, Simone Severini · 1 citation
Physics and Astronomy · Mathematics · #quant-ph #math-ph #math.CO #math.MP
paper · pdf · doi:10.1063/1.3464263
published as J. Math. Phys. 51, 092203 (2010) · 10 pages
arxiv created 2010/11/06 · arxiv updated 2011/12/30
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.