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Quantum Reference Frames on Finite Homogeneous Spaces
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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, thereby making contact with recent work in the perspective-neutral approach to quantum reference frames.
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Cited by 4 Pith papers
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Quantum reference frames beyond subsystems: a reconstruction and generalization of the perspective-neutral framework
Quantum reference frames need not be subsystems: covariant instruments suffice, recovering the perspective-neutral framework operationally and enabling labeling frames and exact interacting relational clocks.
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The Perspectives of Non-Ideal Quantum Reference Frames
A framework built on two principles defines the perspective of non-ideal quantum reference frames, predicting superselection of the observed system and back-reaction from successive operations.
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Specifying the operational meaning of quantum reference frames
Position-superposed labs define quantum reference frames operationally, differ from Wigner's-friend observers, and can broadcast outcomes without decohering their position superposition.
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What can we do in a symmetry-constrained perspective? The importance of the total charge's status in quantum reference frame frameworks
A two-observer Z2 toy model is used to argue that internal observers can access the total charge, favoring weak over strong symmetry in quantum reference frame frameworks.
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