Analysis of non-locality of multipartite systems of indistinguishable particles

CÉSPEDES, PAULA; HOLIK, FEDERICO; MAJTEY, ANA P.

Buenos Aires

Conferencia; XII Conference on Quantum Foundations - From Wave-Particle Duality To Quantum Technologies; 2023

Indistinguishability has been regarded as a resource for quantum information processing tasks since, for example, it can be shown that useful entanglement can be extracted from exchange correlations. However, the notions of entanglement and non-locality in systems of indistinguishable particles are difficult to define, and several different approaches to deal with them have been proposed. In this work we follow the entanglement criterion for two indistinguishable particles proposed by Ghirardi (2002}, and we extend the argument to three particles. We intend to develop a comprehensive criterion for the entanglement of three indistinguishable particles. Our aim is to use this criterion to later analyze different Svetlichny-like inequalities (i.e. that can detect genuine multipartite non-locality) adapted for systems of indistinguishable particles.