Measurement disturbance and conservation laws in quantum mechanics

Abstract

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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Cited by in corpus (5)

• Wigner-Araki-Yanase theorem for continuous and unbounded conserved observables
• Covariant catalysis requires correlations and good quantum reference frames degrade little
• Universal validity of the second law of information thermodynamics
• Can we accurately read or write quantum data?
• Exploring the Accuracy of Interferometric Quantum Measurements under Conservation Laws