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arXiv · 1506.04603

A large-N approximated field theory for multipartite entanglement

P. Facchi·G. Florio·G. Parisi·S. Pascazio·A. Scardicchio
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Abstract

We study the characterization of multipartite entanglement for the random states of an $n$-qbit system. Unable to solve the problem exactly we generalize it, changing complex numbers into real vectors with $N_c$ components (the original problem is recovered for $N_c=2$). Studying the leading diagrams in the large-$N_c$ approximation, we unearth the presence of a phase transition and, in an explicit example, show that the so-called entanglement frustration disappears in the large-$N_c$ limit.

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P. Facchi, G. Florio, G. Parisi, S. Pascazio, A. Scardicchio. 2015-06-15. A large-N approximated field theory for multipartite entanglement. https://doi.org/10.1103/physreva.92.062330

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