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arXiv · 1308.1919

Quantum Computation in Noiseless Subsystems with Fast Non-Abelian Holonomies

J. Zhang·L. -C. Kwek·Erik Sjöqvist·D. M. Tong·P. Zanardi
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Abstract

Quantum information processing requires a high degree of isolation from the detrimental effects of the environment as well as an extremely precise level of control on the way quantum dynamics unfolds in the information-processing system. In this paper, we show how these two goals can be ideally achieved by hybridizing the concepts of noiseless subsystems and of holonomic quantum computation. An all-geometric universal computation scheme based on non-adiabatic and non-Abelian quantum holonomies embedded in a four-qubit noiseless subsystem for general collective decoherence is proposed. The implementation details of this synergistic scheme along with the analysis of its stability against symmetry-breaking imperfections are presented.

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J. Zhang, L. -C. Kwek, Erik Sjöqvist, D. M. Tong, P. Zanardi. 2014-04-04. Quantum Computation in Noiseless Subsystems with Fast Non-Abelian Holonomies. https://doi.org/10.1103/physreva.89.042302

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