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Quantum Relativity of Subsystems

Ali Ahmad, Shadi; Galley, Thomas D; Höhn, Philipp A; Lock, Maximilian PE; Smith, Alexander RH; (2022) Quantum Relativity of Subsystems. Physical Review Letters , 128 (17) , Article 170401. 10.1103/physrevlett.128.170401. Green open access

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Abstract

One of the most basic notions in physics is the partitioning of a system into subsystems, and the study of correlations among its parts. In this work, we explore these notions in the context of quantum reference frame (QRF) covariance, in which this partitioning is subject to a symmetry constraint. We demonstrate that different reference frame perspectives induce different sets of subsystem observable algebras, which leads to a gauge-invariant, frame-dependent notion of subsystems and entanglement. We further demonstrate that subalgebras which commute before imposing the symmetry constraint can translate into non-commuting algebras in a given QRF perspective after symmetry imposition. Such a QRF perspective does not inherit the distinction between subsystems in terms of the corresponding tensor factorizability of the kinematical Hilbert space and observable algebra. Since the condition for this to occur is contingent on the choice of QRF, the notion of subsystem locality is frame-dependent.

Type: Article
Title: Quantum Relativity of Subsystems
Open access status: An open access version is available from UCL Discovery
DOI: 10.1103/physrevlett.128.170401
Publisher version: http://dx.doi.org/10.1103/PhysRevLett.128.170401
Language: English
Additional information: This version is the version of record. For information on re-use, please refer to the publisher’s terms and conditions.
UCL classification: UCL > Provost and Vice Provost Offices > UCL SLASH > Faculty of Arts and Humanities
UCL > Provost and Vice Provost Offices > UCL SLASH > Faculty of Arts and Humanities > Arts and Sciences (BASc)
UCL > Provost and Vice Provost Offices > UCL SLASH
UCL
URI: https://discovery.ucl.ac.uk/id/eprint/10148233
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