Quantum Reference Frames and the Classification of Rotationally-Invariant Maps

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dc.creatorBoileau, J. -C.
dc.creatorSheridan, L.
dc.creatorLaforest, M.
dc.creatorBartlett, S. D.
dc.date2007-09-03
dc.date2008-03-07
dc.date.accessioned2026-07-07T09:26:18Z
dc.date.available2026-07-07T09:26:18Z
dc.descriptionWe give a convenient representation for any map that is covariant with respect to an irreducible representation of SU(2), and use this representation to analyze the evolution of a quantum directional reference frame when it is exploited as a resource for performing quantum operations. We introduce the moments of a quantum reference frame, which serve as a complete description of its properties as a frame, and investigate how many times a quantum directional reference frame represented by a spin-j system can be used to perform a certain quantum operation with a given probability of success. We provide a considerable generalization of previous results on the degradation of a reference frame, from which follows a classification of the dynamics of spin-j system under the repeated action of any covariant map with respect to SU(2).
dc.description18 pages. Accepted in Journal of Mathematical Physics
dc.identifierhttps://arxiv.org/abs/0709.0142
dc.identifierhttp://arxiv.org/abs/0709.0142
dc.identifierJ. Math. Phys. 49, 032105 (2008)
dc.identifierdoi:10.1063/1.2884583
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/156702
dc.subjectQuantum Physics
dc.titleQuantum Reference Frames and the Classification of Rotationally-Invariant Maps
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