1998/08/31 by V. Buzek, R. Derka, S. Massar · 2 citations
Physics and Astronomy · #quant-ph
paper · pdf · doi:10.1103/physrevlett.82.2207
published as Phys.Rev.Lett. 82 (1999) 2207-2210 · 4 pages, revtex, 1 figure, revision contains some new results
arxiv created 1998/12/01 · arxiv updated 2009/12/01
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.