Dynamics of statistical distance: Quantum limits for two-level clocks

Journal Article · Wed Mar 01 00:00:00 EST 1995 · Physical Review A; (United States)

DOI:https://doi.org/10.1103/PhysRevA.51.1820· OSTI ID:6476955

Braunstein, S L ^[1]; Milburn, G J ^[2]

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1. Department of Chemical Physics, The Weizmann Institute of Science, Rehovot 76100 (Israel)
2. Department of Physics, University of Queensland, St. Lucia 4072 (Australia)

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.

• OSTI ID: 6476955
• Journal Information: Physical Review A; (United States), Vol. 51:3; ISSN 1050-2947
• Country of Publication: United States
• Language: English

Related Subjects

71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
QUANTUM MECHANICS
TIME MEASUREMENT
ACCURACY
DENSITY MATRIX
MATHEMATICAL OPERATORS
STATISTICS
MATHEMATICS
MATRICES
MECHANICS
661100* - Classical & Quantum Mechanics- (1992-)