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Holonomic quantum computation in the presence of decoherence

Ivette Fuentes-Guridi·Florian Girelli·Etera R. Livine
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Abstract

We present a scheme to study non-abelian adiabatic holonomies for open Markovian systems. As an application of our framework, we analyze the robustness of holonomic quantum computation against decoherence. We pinpoint the sources of error that must be corrected to achieve a geometric implementation of quantum computation completely resilient to Markovian decoherence.

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Ivette Fuentes-Guridi, Florian Girelli, Etera R. Livine. 2005-02-14. Holonomic quantum computation in the presence of decoherence. https://doi.org/10.1103/physrevlett.94.020503

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