Necessary and sufficient conditions for the quantum Zeno and anti-Zeno effect

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Published 10 September 2003 • Published under licence by IOP Publishing Ltd
, , Citation Harald Atmanspacher et al 2003 J. Phys. A: Math. Gen. 36 9899 DOI 10.1088/0305-4470/36/38/307

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1 Max-Planck-Institut für extraterrestrische Physik, 85740 Garching, Germany

2 Institut für Grenzgebiete der Psychologie, Wilhelmstr 3a, 79098 Freiburg, Germany

3 Department of Statistics, University of Washington, Box 354322, Seattle, WA 98195-4322, USA

Dates

  1. Received 1 April 2003
  2. Published

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0305-4470/36/38/9899

Abstract

A necessary and sufficient condition for the occurrence of the quantum Zeno effect is given, refining a recent conjecture of Luo, Wang and Zhang. An analogous condition is derived for the quantum anti-Zeno effect. Both results rely on a formal connection between the quantum (anti-)Zeno effect and the weak law of large numbers.

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