Lombardi Olimpia
Universidad de Buenos Aires, CONICET. Puan 480, Buenos Aires 1420, Argentina.
Philos Trans A Math Phys Eng Sci. 2023 Sep 18;381(2255):20220101. doi: 10.1098/rsta.2022.0101. Epub 2023 Jul 24.
While entanglement in the case of distinguishable particles is clearly understood, in the case of indistinguishable particles, there is still a wide debate regarding basic conceptual issues. Here, I will address two such issues. First, the debate almost always rests on a differentiated treatment of the cases of distinguishability and indistinguishability, even with respect to the definition of the concept of entanglement. Second, the fact that symmetrized and antisymmetrized states of indistinguishable particles are non-factorizable leads to certain perplexities about the very nature of entanglement. In the present work, both issues will be addressed from the perspective of an ontology of properties, which finds its natural expression in the algebraic formalism of quantum mechanics. The final goal will be to show that the proposed ontology allows a unified treatment of entanglement in the distinguishability and indistinguishability cases and offers a straightforward way out to perplexities. This article is part of the theme issue 'Identity, individuality and indistinguishability in physics and mathematics'.
虽然可区分粒子情形下的纠缠已被清晰理解，但在不可区分粒子的情形中，关于基本概念问题仍存在广泛争论。在此，我将探讨两个此类问题。首先，即便在纠缠概念的定义方面，这场争论几乎总是基于对可区分性和不可区分性情形的差异化处理。其次，不可区分粒子的对称化和反对称化态不可分解这一事实，引发了关于纠缠本质的某些困惑。在本研究中，这两个问题都将从属性本体论的视角来探讨，该本体论在量子力学的代数形式体系中有其自然的表达。最终目标是表明所提出的本体论允许对可区分性和不可区分性情形下的纠缠进行统一处理，并为困惑提供一条直接的解决途径。本文是主题为“物理与数学中的同一性、个体性与不可区分性”的一部分。
