Measurement disturbance and conservation laws in quantum mechanics
Quantum Physics
2023-06-07 v3
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.
Keywords
Cite
@article{arxiv.2110.11705,
title = {Measurement disturbance and conservation laws in quantum mechanics},
author = {M. Hamed Mohammady and Takayuki Miyadera and Leon Loveridge},
journal= {arXiv preprint arXiv:2110.11705},
year = {2023}
}