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

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.

4 pages, no figures

References in corpus (2)

• Arbitrarily accurate composite pulses
• Composite pulses in NMR as non-adiabatic geometric quantum gates

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• Short composite rotation robust against two common systematic errors
• Genuinely noncyclic geometric gates in two-pulse schemes
• Study of Open Systems with Molecules in Isotropic Liquids
• Construction of Arbitrary Robust One-Qubit Operations Using Planar Geometry
• Fast Phase-manipulation of the Single Nuclear Spin in Solids by Rotating Fields