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Quantum reference frames and deformed symmetries

Girelli, Florian and Poulin, David (2008) Quantum reference frames and deformed symmetries. Physical Review D, 77 (10). Art. No. 104012. ISSN 2470-0010. doi:10.1103/PhysRevD.77.104012.

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In the context of constrained quantum mechanics, reference systems are used to construct relational observables that are invariant under the action of the symmetry group. Upon measurement of a relational observable, the reference system undergoes an unavoidable measurement “back-action” that modifies its properties. In a quantum-gravitational setting, it has been argued that such a back-action may produce effects that are described at an effective level as a form of deformed (or doubly) special relativity. We examine this possibility using a simple constrained system that has been extensively studied in the context of quantum information. While our conclusions support the idea of a symmetry deformation, they also reveal a host of other effects that may be relevant to the context of quantum gravity, and could potentially conceal the symmetry deformation.

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Additional Information:©2008 The American Physical Society. (Received 24 November 2007; published 12 May 2008) We thank Gerard Milburn, Kenny Pregnell, and Jon Yard for stimulating discussions that motivated parts of this work. D.P. is supported in part by the Gordon and Betty Moore Foundation through Caltech’s Center for the Physics of Information, by the National Science Foundation under Grant No. PHY-0456720, and by the Natural Sciences and Engineering Research Council of Canada. F.G. would like to thank M. Nielsen for his kind hospitality at the University of Queensland where this project was initiated.
Issue or Number:10
Record Number:CaltechAUTHORS:GIRprd08
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Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:10554
Deposited By: Archive Administrator
Deposited On:16 May 2008
Last Modified:08 Nov 2021 21:08

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