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Phys. Rev. A 66, 042322 (2002) [4 pages]

Geometric phase shift in quantum computation using superconducting nanocircuits: Nonadiabatic effects

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Shi-Liang Zhu1,2 and Z. D. Wang1,3,*
1Department of Physics, University of Hong Kong, Pokfulam Road, Hong Kong, China
2Department of Physics, South China Normal University, Guangzhou, China
3Department of Material Science and Engineering, University of Science and Technology of China, Hefei, China

Received 2 August 2001; revised 22 July 2002; published 25 October 2002

The nonadiabatic geometric quantum computation may be achieved using coupled low-capacitance Josephson junctions. We show that the nonadiabatic effects as well as the adiabatic condition are very important for these systems. Moreover, we find that it may be hard to detect the adiabatic Berry’s phase in this kind of superconducting nanocircuits; but the nonadiabatic phase may be measurable with current techniques. Our results may provide useful information for the implementation of geometric quantum computation.

© 2002 The American Physical Society

URL:
http://link.aps.org/doi/10.1103/PhysRevA.66.042322
DOI:
10.1103/PhysRevA.66.042322
PACS:
03.67.Lx, 85.25.Cp, 03.65.Ta, 73.23.-b

*Author to whom correspondence should be addressed. Email address: zwang@hkucc.hku.hk