论文标题

驯服相同的粒子,以辨别真正的非本地性

Taming identical particles for discerning the genuine non-locality

论文作者

Chin, Seungbeom, Chun, Jung-Hoon

论文摘要

这项工作提供了一种全面的方法来分析基于对称/外部代数(SEA)和小杂志的相同粒子产生的子系统之间的纠缠。我们的方法修改了无标记的方法(NLA),以量化任何类型的相同粒子的纠缠,尤其是具有平等超选择规则的费米。我们可以与非相同颗粒的颗粒的非本地性质分析相同颗粒状态的非本地性质,这是通过相同颗粒的Hilbert空间的可分解性来实现的。事实证明,相同和非相同粒子系统之间的这种形式对应关系可用于量化相同粒子产生的非局部性,例如最大CHSH不平等违规和相同粒子的GHJW定理。

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.

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