Measurement disturbance and conservation laws in quantum mechanics

Mohammady, Mohammad; Miyadera, Takayuki; Loveridge, Leon

doi:doi/10.22331/q-2023-06-05-1033

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Measurement disturbance and conservation laws in quantum mechanics

par Mohammady, Mohammad

;Miyadera, Takayuki ;Loveridge, Leon
Référence Quantum, 7, 1033
Publication Publié, 2023

Article révisé par les pairs

Résumé :

Measurement error and disturbance, in the presence of conservation laws, are analysed in general operational terms. We provide novel quantitative bounds demonstrating necessary conditions under which accurate or non-disturbing measurements can be achieved, highlighting an interesting interplay between incompatibility, unsharpness, and coherence. From here we obtain a substantial generalisation of the Wigner-Araki-Yanase (WAY) theorem. Our findings are further refined through the analysis of the fixed-point set of the measurement channel, some extra structure of which is characterised here for the first time.

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