Quantum computation in noiseless subsystems with fast non-Abelian holonomies

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 of the way quantum dynamics unfolds in the information-processing system. In this paper we show how these two goals can be ideally achie...

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Bibliographic Details
Main Authors: Sjöqvist, Erik, Tong, D. M., Zhang, J, Kwek, L.-C, Zanardi, P
Other Authors: Institute of Advanced Studies
Format: Article
Language:English
Published: 2014
Online Access:https://hdl.handle.net/10356/104195
http://hdl.handle.net/10220/19566
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Institution: Nanyang Technological University
Language: English
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Summary: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 of 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 nonadiabatic 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.