Saturation of repeated quantum measurements

Erkka Haapasalo, Teiko Heinosaari, Yui Kuramochi

Research output: Contribution to journalArticlepeer-review

6 Citations (Scopus)


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 Lüders 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.

Original languageEnglish
Article number33LT01
JournalJournal of Physics A: Mathematical and Theoretical
Issue number33
Publication statusPublished - Jul 8 2016
Externally publishedYes

All Science Journal Classification (ASJC) codes

  • Statistical and Nonlinear Physics
  • Statistics and Probability
  • Modelling and Simulation
  • Mathematical Physics
  • Physics and Astronomy(all)


Dive into the research topics of 'Saturation of repeated quantum measurements'. Together they form a unique fingerprint.

Cite this