Relation between strength of interaction and accuracy of measurement for a quantum measurement
Quantum Physics
2011-05-24 v2
Abstract
The process of measuring a two-level quantum system was examined by applying Hamiltonian formalism. For the measurement of an observable that does not commute with the system Hamiltonian, a non-trivial relationship among the strength of interaction, the time interval of the process, and the accuracy of the measurement was obtained. Particularly, to achieve an error-free measurement of such an observable, a condition stating that the interaction Hamiltonian does not commute with the system Hamiltonian needs to be satisfied.
Keywords
Cite
@article{arxiv.1102.2525,
title = {Relation between strength of interaction and accuracy of measurement for a quantum measurement},
author = {Takayuki Miyadera},
journal= {arXiv preprint arXiv:1102.2525},
year = {2011}
}
Comments
6 pages, Discussion in Sec. III was improved