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

Shi-Liang Zhu, Z. D. Wang

DOI 10.1103/PhysRevA.66.042322 · Physical Review A

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Abstract

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.

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