Saturation of repeated quantum measurements



: Haapasalo E, Heinosaari T, Kuramochi Y

Publisher: IOP PUBLISHING LTD

: 2016

: Journal of Physics A: Mathematical and Theoretical

: JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL

: J PHYS A-MATH THEOR

: ARTN 33LT01

: 49

: 33

: 12

: 1751-8113

DOI: https://doi.org/10.1088/1751-8113/49/33/33LT01


We study sequential measurement scenarios where the system is repeatedly subjected to the same measurement process. We first provide examples of such repeated measurements where further repetitions of the measurement do not increase our knowledge on the system after some finite number of measurement steps. We also prove, however, that repeating the Luders measurement of an unsharp two-outcome observable never saturates in this sense, and we characterize the observable measured in the limit of infinitely many repetitions. Our result implies that a repeated measurement can be used to correct the inherent noise of an unsharp observable.



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