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Quantum Reference Frames on Finite Homogeneous Spaces

Lookup NU author(s): Dr James Waldron

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Abstract

© The Author(s) 2024. We present an operationally motivated treatment of quantum reference frames in the setting that the frame is a covariant positive operator valued measure (POVM) on a finite homogeneous space, generalising the principal homogeneous spaces studied in previous work. We focus on the case that the reference observable is the canonical covariant projection valued measure on the given space, and show that this gives rise to a rank-one covariant POVM on the group, which can be seen as a system of coherent states.

Publication metadata

Author(s): Glowacki J, Loveridge L, Waldron J

Publication type: Article

Publication status: Published

Journal: International Journal of Theoretical Physics

Year: 2024

Volume: 63

Issue: 5

Online publication date: 25/05/2024

Acceptance date: 16/04/2024

Date deposited: 18/06/2024

ISSN (print): 0020-7748

ISSN (electronic): 1572-9575

Publisher: Springer Nature

URL: https://doi.org/10.1007/s10773-024-05650-7

DOI: 10.1007/s10773-024-05650-7

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