Dynamics of statistical distance: Quantum limits for two-level clocks
- 1 March 1995
- journal article
- research article
- Published by American Physical Society (APS) in Physical Review A
- Vol. 51 (3) , 1820-1826
- https://doi.org/10.1103/physreva.51.1820
Abstract
We study the evolution of statistical distance on the Bloch sphere under unitary and nonunitary dynamics. This corresponds to studying the limits to clock precision for a clock constructed from a two-state system. We find that the initial motion away from pure states under nonunitary dynamics yields the greatest accuracy for a ‘‘one-tick’’ clock; in this case the clock’s precision is not limited by the largest frequency of the system.Keywords
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