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Physics Letters A

Comment on “On the quantum Zeno effect” by Nakazato et al.

Jian-Wei Pan, Yong-de Zhang, Qinxi Dong

Published Feb 1, 1998• 6 citations
Publisher
DOI
10.1016/s0375-9601(97)00861-x

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It is shown that a generalized quantum Zeno effect based on the introduction of a coherent coupling between several parts of a compound system can be responsible for neutralizing the effects of repeated measurements. To demonstrate this effect, we focus on a purification scheme based on iterated observations on an ancilla system put in interaction with the main one [Nakazato, Takazawa, Yuasa, Phys. Rev. Lett. {\bf 90}, 060401 (2003)]. We bring to light that a suitable Hilbert space partitioning due to an appropriate interaction can eliminate the effects of repeated wave function collapses the purification scheme is based on.
A method of purification through Zeno-like measurements has been proposed by Nakazato and co-workers [H. Nakazato, T. Takazawa, and K. Yuasa, Phys. Rev. Lett. 90, 060401 (2003); H. Nakazato, M. Unoki, and K. Yuasa, Phys. Rev. A 70, 012303 (2004)]. A series of frequent measurements on a quantum system is demonstrated to result in the purification of another quantum system in interaction with the former. Inspired by this idea, we have designed a strategy to obtain entangled states through only two measurements. A deterministic purification method is also provided in this article.