Relativity of quantum states and observables

Paul Busch; Leon Deryck Loveridge; Takayuki Miyadera

doi:10.1209/0295-5075/117/40004

Relativity of quantum states and observables

Paul Busch, Leon Deryck Loveridge, Takayuki Miyadera

Mathematics

Research output: Contribution to journal › Article › peer-review

Abstract

Under the principle that quantum mechanical observables are invariant under relevant symmetry transformations, we explore how the usual, non-invariant quantities may capture measurement statistics. Using a relativisation mapping, viewed as the incorporation of a quantum reference frame, we show that the usual quantum description approximates the relative one precisely when the reference system admits an appropriate localisable quantity and a localised state. From this follows a new perspective on the nature and reality of quantum superpositions and optical coherence.

Original language	English
Article number	40004
Number of pages	5
Journal	EPL (Europhysics Letters)
Volume	117
Early online date	4 Apr 2017
DOIs	https://doi.org/10.1209/0295-5075/117/40004
Publication status	E-pub ahead of print - 4 Apr 2017

Bibliographical note

© EPLA, 2017. This is an author-produced version of the published paper. Uploaded in accordance with the publisher’s self-archiving policy. Further copying may not be permitted; contact the publisher for details

Keywords

quantum mechanics
symmetry
quantum reference frames

Access to Document

10.1209/0295-5075/117/40004

1604.02836
© EPLA, 2017. This is an author-produced version of the published paper. Uploaded in accordance with the publisher’s self-archiving policy. Further copying may not be permitted; contact the publisher for details
Accepted author manuscript, 140 KB

https://arxiv.org/pdf/1604.02836.pdf

Cite this

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