Quantum entanglement as an ambiguity of classical dynamics

• URL: http://arxiv.org/abs/2410.21949v1
• Date: Tue, 29 Oct 2024 11:07:48 GMT
• Title: Quantum entanglement as an ambiguity of classical dynamics
• Authors: Piotr Dulian, Adam Sawicki,
• Abstract summary: We study consequences of applying formalism of symplectic geometry to quantum mechanics. We show that this degeneracy can be understood as an ambiguity of some classical dynamic.
• Score: 1.534667887016089
• License:
• Abstract: We study consequences of applying formalism of symplectic geometry to quantum mechanics. We propose a physical interpretation of a symplectic indicator of entanglement, introduced in [1], given by the degeneracy of the symplectic form on manifolds of locally unitary equivalent states. We show that this degeneracy can be understood as an ambiguity of some classical dynamic.

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