Taming identical particles for discerning the genuine non-locality

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.

Automated summary

This work presents a comprehensive approach to analyzing entanglement between subsystems generated by identical particles using SEA and microcausality, while amending the NLA method for quantifying entanglement of any type of identical particles, especially fermions with the parity superselection rule. The formal correspondence between identical and non-identical particle systems is useful for quantifying non-locality generated by identical particles, such as the violation of the maximal CHSH inequality and the GHJW theorem of identical particles.