Geometric Quantum Gates, Composite Pulses, and Trotter-Suzuki Formulas
Yasushi Kondo, Masamitsu Bando
TL;DR
This paper demonstrates that geometric quantum gates are inherently robust against control errors and illustrates their construction using composite pulses and Trotter-Suzuki formulas, highlighting their potential for reliable quantum computation.
Contribution
It establishes that all geometric quantum gates are robust against control errors and connects composite pulse design with geometric phases, introducing a new perspective on quantum gate robustness.
Findings
Geometric quantum gates are robust against control field strength errors.
Composite rf-pulses in NMR can be constructed geometrically.
A composite rf-pulse based on Trotter-Suzuki formulas is a geometric quantum gate.
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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