We propose a novel symmetrization procedure to beat decoherence for oscillator-assisted quantum gate operations. The enacted symmetry is related to the global geometric features of qubits transformation based on ancillary oscillator modes, e.g. phonons in an ion-trap system. It is shown that the devised multi-circuit symmetrized evolution endows the system with a two-fold resilience against decoherence: insensitivity to thermal fluctuations and quantum dissipation.
@article{arxiv.quant-ph/0410114,
title = {Decoherence suppression for oscillator-assisted geometric quantum gates via symmetrization},
author = {Li-Xiang Cen and Paolo Zanardi},
journal= {arXiv preprint arXiv:quant-ph/0410114},
year = {2009}
}