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Mode Entanglement and Entangling power in Bosonic Graphs

Paolo Giorda·Paolo Zanardi
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Abstract

We analyze the quantum entanglement properties of bosonic particles hopping over graph structures.Mode-entanglement of a graph vertex with respect the rest of the graph is generated, starting from a product state, by turning on for a finite time a tunneling along the graph edges. The maximum achieved during the dynamical evolution by this bi-partite entanglement characterizes the entangling power of a given hopping hamiltonian. We studied this entangling power as a function of the self-interaction parameters i.e., non-linearities, for all the graphs up to four vertices and for two different natural choices of the initial state. The role of graph topology and self-interaction strengths in optimizing entanglement generation is extensively studied by means of exact numerical simulations and by perturbative calculations.

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Paolo Giorda, Paolo Zanardi. 2003-04-23. Mode Entanglement and Entangling power in Bosonic Graphs. https://doi.org/10.1103/physreva.68.062108

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