Statistical mechanics of multipartite entanglement
Paolo Facchi, Giuseppe Florio, Ugo Marzolino, Giorgio Parisi, Saverio, Pascazio
TL;DR
This paper models the distribution of bipartite purity in multipartite qubit systems to identify maximally entangled states, using a statistical mechanics approach to optimize entanglement across all bipartitions.
Contribution
It introduces a novel statistical mechanics framework to analyze and optimize multipartite entanglement in quantum systems.
Findings
Characterizes multipartite entanglement via bipartite purity distribution
Identifies states with minimal bipartite purity across all bipartitions
Provides a new method to find maximally entangled states
Abstract
We characterize the multipartite entanglement of a system of n qubits in terms of the distribution function of the bipartite purity over all balanced bipartitions. We search for those (maximally multipartite entangled) states whose purity is minimum for all bipartitions and recast this optimization problem into a problem of statistical mechanics.
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