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

SL BRAUNSTEIN; GJ MILBURN

doi:10.1103/PhysRevA.51.1820

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

SL BRAUNSTEIN, GJ MILBURN

Computer Science

Research output: Contribution to journal › Article › peer-review

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.

Original language	English
Pages (from-to)	1820-1826
Number of pages	7
Journal	Physical Review A
Volume	51
Issue number	3
DOIs	https://doi.org/10.1103/PhysRevA.51.1820
Publication status	Published - 1 Mar 1995

Access to Document

10.1103/PhysRevA.51.1820

Cite this

@article{ab56ccad5b1b428aa245d99d02c031a7,

title = "Dynamics of statistical distance: Quantum limits for two-level clocks",

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 {\textquoteleft}{\textquoteleft}one-tick{\textquoteright}{\textquoteright} clock; in this case the clock{\textquoteright}s precision is not limited by the largest frequency of the system.",

author = "SL BRAUNSTEIN and GJ MILBURN",

year = "1995",

month = mar,

day = "1",

doi = "10.1103/PhysRevA.51.1820",

language = "English",

volume = "51",

pages = "1820--1826",

journal = "Physical Review A",

issn = "1050-2947",

publisher = "American Physical Society",

number = "3",

}

TY - JOUR

T1 - Dynamics of statistical distance

T2 - Quantum limits for two-level clocks

AU - BRAUNSTEIN, SL

AU - MILBURN, GJ

PY - 1995/3/1

Y1 - 1995/3/1

N2 - 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.

AB - 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.

U2 - 10.1103/PhysRevA.51.1820

DO - 10.1103/PhysRevA.51.1820

M3 - Article

SN - 1050-2947

VL - 51

SP - 1820

EP - 1826

JO - Physical Review A

JF - Physical Review A

IS - 3

ER -