Relation between strength of interaction and accuracy of measurement for a quantum measurement
arXiv:1102.2525 · doi:10.1103/PhysRevA.83.052119
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.
arXiv comment6 pages, Discussion in Sec. III was improved
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