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

Yasushi Kondo; Masamitsu Bando

doi:10.1143/JPSJ.80.054002

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

Quantum Physics 2015-05-19 v2

Authors: Yasushi Kondo , Masamitsu Bando

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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.

Keywords

geometric quantum gates composite pulses Trotter-Suzuki formulas robustness NMR

Cite

@article{arxiv.1005.3917,
  title  = {Geometric Quantum Gates, Composite Pulses, and Trotter-Suzuki Formulas},
  author = {Yasushi Kondo and Masamitsu Bando},
  journal= {arXiv preprint arXiv:1005.3917},
  year   = {2015}
}

Comments

4 pages, no figures

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