Geometric Quantum Gates, Composite Pulses, and Trotter-Suzuki Formulas

Published 21 May 2010 in quant-ph | (1005.3917v2)

Abstract: We show that all geometric quantum gates (GQG's in short), which are quantum gates only with geometric phases, are robust against control field strength errors. As examples of this observation, we show (1) how robust composite rf-pulses in NMR are geometrically constructed and (2) a composite rf-pulse based on Trotter-Suzuki Formulas is a GQG.

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