Caulton, Adam (2024) Entanglement by (anti-)symmetrisation does not violate Bell’s inequalities: so what kind of entanglement does? [Preprint]

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Abstract

The purpose of this short article is to build on the work of Ghirardi, Marinatto and Weber (Ghirardi, Marinatto & Weber 2002; Ghirardi & Marinatto 2003, 2004, 2005), in supporting a redefinition of entanglement for “indistinguishable” systems, especially fermions. According to the proposal, the non-separability of the joint state is insufficient for entanglement; rather, the joint state is entangled iff it cannot be represented as the (anti-) symmetrisation of a product state. The redefinition is justified by its physical significance, as enshrined in three biconditionals whose analogues hold of “distinguishable” systems. The proposed definition of entanglement also prompts a reconceptualisation of local operations and the reduced states of constituent subsystems.

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Item Type:	Preprint
Creators:	Creators Email ORCID Caulton, Adam adam.caulton@gmail.com 0009-0003-0802-7160
Keywords:	permutations, invariance, symmetry, Bell's theorem, entanglement, indistinguishable, separability
Subjects:	Specific Sciences > Physics > Quantum Mechanics Specific Sciences > Physics > Symmetries/Invariances
Depositing User:	Dr Adam Caulton
Date Deposited:	03 Oct 2024 12:01
Last Modified:	03 Oct 2024 12:01
Item ID:	24001
Subjects:	Specific Sciences > Physics > Quantum Mechanics Specific Sciences > Physics > Symmetries/Invariances
Date:	2024
URI:	https://philsci-archive.pitt.edu/id/eprint/24001

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