Entanglement robustness and geometry in systems of identical particles

Fabio Benatti, Roberto Floreanini, Ugo Marzolino · Physical Review A · 2012

The robustness properties of bipartite entanglement in systems of $N$ bosons distributed in $M$ different modes are analyzed using a definition of separability based on commuting algebras of observables, a natural choice when dealing with identical particles. Within this framework, expressions for the robustness and generalized robustness of entanglement can be explicitly given for large classes of boson states: Their entanglement content turns out to be, in general, much more stable than that of distinguishable particles states. Using these results, the geometrical structure of the space of $N$-boson states can be explicitly addressed.

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