Measurement disturbance and conservation laws in quantum mechanics

Autor: M. Hamed Mohammady, Takayuki Miyadera, Leon Loveridge
Jazyk: angličtina
Rok vydání: 2023
Předmět:
Zdroj: Quantum, Vol 7, p 1033 (2023)
Druh dokumentu: article
ISSN: 2521-327X
DOI: 10.22331/q-2023-06-05-1033
Popis: 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.
Databáze: Directory of Open Access Journals