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Geometric quantum gates robust against stochastic control errors

Shi-Liang Zhu·Paolo Zanardi
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Abstract

We analyze a scheme for quantum computation where quantum gates can be continuously changed from standard dynamic gates to purely geometric ones. These gates are enacted by controlling a set of parameters that are subject to unwanted stochastic fluctuations. This kind of noise results in a departure from the ideal case that can be quantified by a gate fidelity. We find that the maximum of this fidelity corresponds to quantum gates with a vanishing dynamical phase.

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Shi-Liang Zhu, Paolo Zanardi. 2004-07-22. Geometric quantum gates robust against stochastic control errors. https://doi.org/10.1103/physreva.72.020301

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