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Geometric quantum gates in liquid-state NMR based on a cancellation of dynamical phases

2009/06/30 by Yukihiro Ota, Yoshito Goto, Yasusi Kondo +1 · 1 citation
Physics and Astronomy · #quant-ph

paper · pdf · doi:10.1103/physreva.80.052311

published as Phys. Rev. A 80, 052311 (2009)

arxiv created 2009/11/11 · arxiv updated 2009/12/01

Abstract

A proposal for applying non-adiabatic geometric phases to quantum computing, called the double-loop method [S.-L. Zhu and Z. D. Wang, Phys. Rev. A \bf 67, 022319 (2003)], is demonstrated in a liquid state NMR quantum computer. Using a spin echo technique, the original method is modified so that quantum gates are implemented in a standard high-precision NMR system for chemical analysis. We show that the dynamical phase is successfully eliminated and a one-qubit quantum gate is realized, although the fidelity is not so high.

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