Local disentanglement in relativistic quantum field theory

Studies in History and Philosophy of Science Part B: Studies in History and Philosophy of Modern Physics 44 (4):424-432 (2013)
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Abstract

This paper discusses a claim by Clifton and Halvorson (2001) that, contrary to non-relativistic quantum mechanics, local operations can never destroy entanglement in relativistic quantum field theory. The impossibility of achieving local disentanglement would raise a threat for the mutual independence between microscopic subsystems. Here, we observe that Clifton and Halvorson no-go result rests on an unnecessarily strong notion of local operations, which we label absolutely local operations, and we argue that a weaker notion, namely that of relatively local operations, is sufficient to guarantee that acting on one subsystem does not have non-local effects on another spacelike separated subsystem. We then show that one can achieve local disentanglement in relativistic quantum field theory by means of relatively local operations. In fact, we prove that, under the split property, there exists a class of disentangling relatively local operations.

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Giovanni Valente
Politecnico di Milano

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References found in this work

Quanten‐mechanik und wirklichkeit.A. Einstein - 1948 - Dialectica 2 (3‐4):320-324.
Entanglement and Open Systems in Algebraic Quantum Field Theory.Rob Clifton & Hans Halvorson - 2001 - Studies in History and Philosophy of Science Part B: Studies in History and Philosophy of Modern Physics 32 (1):1-31.
Subsystems and independence in relativistic microscopic physics.Stephen J. Summers - 2009 - Studies in History and Philosophy of Science Part B: Studies in History and Philosophy of Modern Physics 40 (2):133-141.
How local are local operations in local quantum field theory?Miklós Rédei & Giovanni Valente - 2010 - Studies in History and Philosophy of Science Part B: Studies in History and Philosophy of Modern Physics 41 (4):346-353.

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