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

Source: Phys. Rev. A 80, 052311 (2009); doi:10.1103/PhysRevA.80.052311

Published 10 November 2009

KEYWORDS and PACS
Keywords
PACS
  • 03.67.Lx
    Quantum computation architectures and implementations
  • 03.65.Vf
    Phases: geometric; dynamic or topological (quantum theory)
  • YEAR: 2009
PUBLICATION DATA
Publisher:
AIP is a member of CrossRef APS
Yukihiro Ota,1 Yoshito Goto,2 Yasushi Kondo,1,3 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
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
History: Received 7 June 2009; published 10 November 2009
Permalink: http://link.aps.org/abstract/PRA/v80/e052311
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