Taming identical particles for discerning the genuine non-locality
Abstract
This work provides a comprehensive approach to analyze the entanglement between subsystems generated by identical particles, based on the symmetric/exterior algebra (SEA) and microcausality. Our method amends the no-labeling approach (NLA) to quantify any type of identical particles' entanglement, especially fermions with the parity superselection rule. We can analyze the non-local properties of identical particles' states in a fundamentally equivalent way to those for non-identical particles, which is achieved by the factorizability of the total Hilbert space of identical particles. This formal correspondence between identical and non-identical particle systems turns out to be useful for quantifying the non-locality generated by identical particles, such as the maximal CHSH inequality violation and the GHJW theorem of identical particles.
Keywords
Cite
@article{arxiv.2002.03784,
title = {Taming identical particles for discerning the genuine non-locality},
author = {Seungbeom Chin and Jung-Hoon Chun},
journal= {arXiv preprint arXiv:2002.03784},
year = {2021}
}
Comments
REVTeX, 8 pages,; (v2) minor corrections and clarifications; (v3) 12 pages, substantial revision with a new author; (v4) explains the correction of partial trace defined in no-labeling approach (NLA); (v5) close to the accepted version to Quantum Information Processing