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Quantum reference frames and deformed symmetries

Florian Girelli1,* and David Poulin2,†

  • 1SISSA, Via Beirut 2-4, 34014 Trieste, Italy, and INFN, Sezione di Trieste, Trieste, Italy
  • 2Center for the Physics of Information, California Institute of Technology, Pasadena, California 91125, USA

  • *girelli@sissa.it
  • †dpoulin@ist.caltech.edu
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Phys. Rev. D 77, 104012 – Published 12 May, 2008

DOI: https://doi.org/10.1103/PhysRevD.77.104012

Abstract

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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Phys. Rev. D 77, 104012– Published 12 May, 2008
  • Received 24 November 2007

© 2008 American Physical Society

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