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

Harald Atmanspacher1,2, Werner Ehm2 and Tilmann Gneiting3

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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.


PACS

03.65.Xp Tunneling, traversal time, quantum Zeno dynamics

02.50.Cw Probability theory

MSC

60Axx Foundations of probability theory

Subjects

Computational physics

Quantum information and quantum mechanics

Dates

Issue 38 (26 September 2003)

Received 1 April 2003, in final form 25 June 2003

Published 10 September 2003



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