Parameter estimation in the presence of the most general Gaussian dissipative reservoir

Marcin Jarzyna and Marcin Zwierz
Phys. Rev. A 95, 012109 – Published 9 January 2017

Abstract

We analyze the performance of quantum parameter estimation in the presence of the most general Gaussian dissipative reservoir. We derive lower bounds on the precision of phase estimation and a closely related problem of frequency estimation. For both problems we show that it is impossible to achieve the Heisenberg limit asymptotically in the presence of such a reservoir. However, we also find that for any fixed number of probes used in the setup there exists a Gaussian dissipative reservoir, which, in principle, allows for the Heisenberg-limited performance for that number of probes. We discuss a realistic implementation of a frequency estimation scheme in the presence of a Gaussian dissipative reservoir in a cavity system.

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  • Received 23 September 2016

DOI:https://doi.org/10.1103/PhysRevA.95.012109

©2017 American Physical Society

Physics Subject Headings (PhySH)

General Physics

Authors & Affiliations

Marcin Jarzyna* and Marcin Zwierz

  • Faculty of Physics, University of Warsaw, ulica Pasteura 5, PL-02-093 Warszawa, Poland

  • *marcin.jarzyna@fuw.edu.pl
  • marcin.zwierz@fuw.edu.pl

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Issue

Vol. 95, Iss. 1 — January 2017

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