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arXiv:quant-ph/0402183 · Journal of the Physical Society of Japan

Purification of Quantum State Through Zeno-Like Measurements

Kazuya Yuasa, Hiromichi Nakazato, Tomoko Takazawa

Published Jan 1, 2003• 3 citations
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Abstract

We present a novel procedure to purify quantum states, i.e., purification through Zeno-like measurements. By simply repeating one and the same measurement on a quantum system, one can purify another system in interaction with the former. The conditions for the (efficient) purification are specified on a rather general setting, and the framework of the method possesses wide applicability. It is explicitly demonstrated on a specific setup that the purification becomes very efficient by tuning relevant parameters.

DOI
10.1143/jpsjs.72sc.34

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We present a novel procedure to purify quantum states, i.e., purification through Zeno-like measurements. By simply repeating one and the same measurement on a quantum system, one can purify another system in interaction with the former. The conditions for the (efficient) purification are specified on a rather general setting, and the framework of the method possesses wide applicability. It is explicitly demonstrated on a specific setup that the purification becomes very efficient by tuning relevant parameters.
A method of purification, purification through Zeno-like measurements [H. Nakazato, T. Takazawa, and K. Yuasa, Phys. Rev. Lett. 90, 060401 (2003)], is discussed extensively and applied to a few simple qubit systems. It is explicitly demonstrated how it works and how it is optimized. As possible applications, schemes for initialization of multiple qubits and entanglement purification are presented, and their efficiency is investigated in detail. Simplicity and flexibility of the idea allow us to apply it to various kinds of settings in quantum information and computation, and would provide us with useful and practical methods of state preparation.
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.