Optimal Quantum Clocks

V. Bužek, R. Derka, and S. Massar
Phys. Rev. Lett. 82, 2207 – Published 8 March 1999
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Abstract

A quantum clock must satisfy two basic constraints. The first is a bound on the time resolution of the clock given by the difference between its maximum and minimum energy eigenvalues. The second follows from Holevo's bound on how much classical information can be encoded in a quantum system. We show that asymptotically, as the dimension of the Hilbert space of the clock tends to infinity, both constraints can be satisfied simultaneously. The experimental realization of such an optimal quantum clock using trapped ions is discussed.

  • Received 17 August 1998

DOI:https://doi.org/10.1103/PhysRevLett.82.2207

©1999 American Physical Society

Authors & Affiliations

V. Bužek1,2, R. Derka2, and S. Massar3

  • 1Institute of Physics, Slovak Academy of Sciences, Dúbravská cesta 9, 842 28 Bratislava, Slovakia
  • 2Faculty of Mathematics and Physics, Comenius University, Mlynská dolina F2, Bratislava, Slovakia
  • 3Service de Physique Théorique, Université Libre de Bruxelles, CP 225, Bvd du Triomphe, B1050 Brussels, Belgium

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Issue

Vol. 82, Iss. 10 — 8 March 1999

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