Quantum Measurements of Time

Lorenzo Maccone and Krzysztof Sacha
Phys. Rev. Lett. 124, 110402 – Published 16 March 2020
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Abstract

We propose a time-of-arrival operator in quantum mechanics by conditioning on a quantum clock. This allows us to bypass some of the problems of previous proposals, and to obtain a Hermitian time of arrival operator whose probability distribution arises from the Born rule and which has a clear physical interpretation. The same procedure can be employed to measure the “time at which some event happens” for arbitrary events (and not just specifically for the arrival time of a particle).

  • Received 4 July 2019
  • Accepted 21 February 2020

DOI:https://doi.org/10.1103/PhysRevLett.124.110402

© 2020 American Physical Society

Physics Subject Headings (PhySH)

Quantum Information, Science & TechnologyGeneral Physics

Authors & Affiliations

Lorenzo Maccone1 and Krzysztof Sacha2

  • 1Dip. Fisica and INFN Sez. Pavia, University of Pavia, via Bassi 6, I-27100 Pavia, Italy
  • 2Instytut Fizyki imienia Mariana Smoluchowskiego, Uniwersytet Jagielloński, ulica Profesora Stanisława Łojasiewicza 11, PL-30-348 Kraków, Poland

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Issue

Vol. 124, Iss. 11 — 20 March 2020

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