2020/02/29 by Seungbeom Chin, Jung-Hoon Chun · 3 citations
Computer Science · Mathematics · Physics and Astronomy · #Advanced Operator Algebra Research #Fermion #Hilbert space #Identical particles #Parity (physics) #Quantum #Quantum Information and Cryptography #Quantum Mechanics and Applications #Quantum computer #Quantum entanglement #Superselection #quant-ph
paper · pdf · doi:10.1007/s11128-021-03024-0
published in Quantum Information Processing 20(3) (Springer Science+Business Media) · 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
openalex created_date 2020/02/14 · arxiv created 2021/02/19 · openalex publication_date 2021/03/01 · arxiv updated 2021/03/08 · openalex updated_date 2026/08/05
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.