4.3 Article

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

Journal

JOURNAL OF THE PHYSICAL SOCIETY OF JAPAN
Volume 80, Issue 5, Pages -

Publisher

PHYSICAL SOC JAPAN
DOI: 10.1143/JPSJ.80.054002

Keywords

geometric phase; quantum operation; composite pulse; quantum computer; NMR

Funding

  1. Ministry of Education, Culture, Sports, Science and Technology

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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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