Quantum reference frames and deformed symmetries

被引:24
作者
Girelli, Florian [1 ]
Poulin, David [2 ]
机构
[1] SISSA, I-34014 Trieste, Italy
[2] CALTECH, Ctr Phys Informat, Pasadena, CA 91125 USA
基金
美国国家科学基金会;
关键词
D O I
10.1103/PhysRevD.77.104012
中图分类号
P1 [天文学];
学科分类号
0704 ;
摘要
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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页数:11
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