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

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

2009-06-02

arxiv.org/abs/0906.0474v2

Phys. Rev. A 80, 052311 (2009)

Physics

Quantum Physics

Scientific paper

10.1103/PhysRevA.80.052311

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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