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 | ||||||
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Keywords: | permutations, invariance, symmetry, Bell's theorem, entanglement, indistinguishable, separability | ||||||
Subjects: | Specific Sciences > Physics > Quantum Mechanics Specific Sciences > Physics > Symmetries/Invariances |
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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 |
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Date: | 2024 | ||||||
URI: | https://philsci-archive.pitt.edu/id/eprint/24001 |
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