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Saturation of repeated quantum measurements
Tekijät: Haapasalo E, Heinosaari T, Kuramochi Y
Kustantaja: IOP PUBLISHING LTD
Julkaisuvuosi: 2016
Journal: Journal of Physics A: Mathematical and Theoretical
Tietokannassa oleva lehden nimi: JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL
Lehden akronyymi: J PHYS A-MATH THEOR
Artikkelin numero: ARTN 33LT01
Vuosikerta: 49
Numero: 33
Sivujen määrä: 12
ISSN: 1751-8113
DOI: https://doi.org/10.1088/1751-8113/49/33/33LT01
Tiivistelmä
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.
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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