Classical Statistical Mechanics Approach to Multipartite Entanglement

Details Classical Statistical Mechanics Approach to Multipartite Entanglement Classical Statistical Mechanics Approach to Multipartite Entanglement

2010-02-12

arxiv.org/abs/1002.2592v2

J. Phys. A: Math. Theor. 43 (2010) 225303

Physics

Quantum Physics

38 pages, 10 figures, published version

Scientific paper

10.1088/1751-8113/43/22/225303

We characterize the multipartite entanglement of a system of n qubits in terms of the distribution function of the bipartite purity over balanced bipartitions. We search for maximally multipartite entangled states, whose average purity is minimal, and recast this optimization problem into a problem of statistical mechanics, by introducing a cost function, a fictitious temperature and a partition function. By investigating the high-temperature expansion, we obtain the first three moments of the distribution. We find that the problem exhibits frustration.

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