corner
corner

Phys. Rev. A 80, 052311 (2009) [7 pages]

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

Download: PDF (456 kB) Buy this article Export: BibTeX or EndNote (RIS)

Yukihiro Ota1,*, Yoshito Goto2, Yasushi Kondo1,3, and Mikio Nakahara1,3
1Research Center for Quantum Computing, Interdisciplinary Graduate School of Science and Engineering, Kinki University, 3-4-1 Kowakae, Higashi-Osaka 577-8502, Japan
2Interdisciplinary Graduate School of Science and Engineering, Kinki University, 3-4-1 Kowakae, Higashi-Osaka 577-8502, Japan
3Department of Physics, Kinki University, 3-4-1 Kowakae, Higashi-Osaka 577-8502, Japan

Received 7 June 2009; published 10 November 2009

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

© 2009 The American Physical Society

URL:
http://link.aps.org/doi/10.1103/PhysRevA.80.052311
DOI:
10.1103/PhysRevA.80.052311
PACS:
03.67.Lx, 03.65.Vf

*Present address: CCSE, Japan Atomic Energy Agency, 6-9-3 Higashi-Ueno, Tokyo 110-0015, Japan and CREST(JST), 4-1-8 Honcho, Kawaguchi, Saitama, 332-0012, Japan.