Entanglement and indistinguishability

Benatti F., Floreanini R., Franchini F., Marzolino U.

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II - Fisica della materia
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For distinguishable particles, entanglement theory has reached an agreed-upon formulation, with insights into locality and quantum correlations, from both a fundamental and a practical point of view. Instead, for systems of identical particles, subtle issues due to the unconventional aspects of indistinguishability have led to diverse, apparently discordant notions of entanglement. In the present work a comparative analysis of the relevant existing approaches is provided, taking as guiding criteria three general properties that need to be satisfied in any physical setting: i) entanglement corresponds to non-local correlations and cannot be generated by local operations; ii) when, by freezing suitable degrees of freedom, identical particles can be effectively distinguished, their entanglement must reduce to the standard notion holding for distinguishable particles; iii) in the absence of other quantum resources, only entanglement can allow outperforming classical information protocols. These three requests provide a setting within which it is possible 1) to point out strengths and weakeness of the various proposed notions of indistinguishable particle entanglement, and 2) to put forward a unique, satisfactory definition.

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