title: Holonomic quantum computation in the presence of decoherence.
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.
authors.affiliation: Centre for Quantum Computation, Clarendon Laboratory, University of Oxford, Parks Road OX1 3PU, United Kingdom.
authors.forename: I
authors.initials: I
authors.lastname: Fuentes-Guridi
authors.forename: F
authors.initials: F
authors.lastname: Girelli
authors.forename: E
authors.initials: E
authors.lastname: Livine