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The WAY theorem and the quantum resource theory of asymmetry
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The WAY theorem and the quantum resource theory of asymmetry
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The WAY theorem establishes an important constraint that conservation laws impose on quantum mechanical measurements. We formulate the WAY theorem in the broader context of resource theories, where one is constrained to a subset of quantum mechanical operations described by a symmetry group. Establishing connections with the theory of quantum state discrimination we obtain optimal unitaries describing the measurement of arbitrary observables, explain how prior information can permit perfect measurements that circumvent the WAY constraint, and provide a framework that establishes a natural ordering on measurement apparatuses through a decomposition into asymmetry and charge subsystems.
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Cited by 1 Pith paper
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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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