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

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

2010-05-21

arxiv.org/abs/1005.3917v2

Physics

Quantum Physics

4 pages, no figures

Scientific paper

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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