Role of Particle Entanglement in the Violation of Bell Inequalities

Year: 2018

Authors: Wasak T., Smerzi A., Chwedenczuk J.

Autors Affiliation: [Wasak, Tomasz; Chwedenczuk, Jan] Univ Warsaw, Fac Phys, Ul Pasteura 5, PL-02093 Warsaw, Poland.
[Smerzi, Augusto] CNR, INO, QSTAR, Largo Enrico Fermi 2, I-50125 Florence, Italy and LENS, Largo Enrico Fermi 2, I-50125 Florence, Italy.

Abstract: Entanglement between two separate systems is a necessary resource to violate a Bell inequality in a test of local realism. We demonstrate that to overcome the Bell bound, this correlation must be accompanied by the entanglement between the constituent particles. This happens whenever a super-selection rule prohibits coherences between states with different total number of particles and thus imposes a constraint on feasible local operations in each sub-system. We show that the necessary entanglement between the particles might solely result from their indistinguishability. We also give an example of both mode and particle-entangled pure state, which does not violate any Bell inequality. Our result reveals a fundamental relation between the non-locality and the particle entanglement.


Volume: 8      Pages from: 1777-1  to: 1777-6

KeyWords: hidden-variable theories; quantum nonlocality; photons; states;
DOI: 10.1038/s41598-018-20034-8

Citations: 5
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