Holonomic quantum computing in symmetry-protected ground states of spin chains

Joseph M. Renes, Akimasa Miyake, Gavin K. Brennen, Stephen D. Bartlett*

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

14 Citations (Scopus)
10 Downloads (Pure)


While solid-state devices offer naturally reliable hardware for modern classical computers, thus far quantum information processors resemble vacuum tube computers in being neither reliable nor scalable. Strongly correlated many body states stabilized in topologically ordered matter offer the possibility of naturally fault tolerant computing, but are both challenging to engineer and coherently control and cannot be easily adapted to different physical platforms. We propose an architecture which achieves some of the robustness properties of topological models but with a drastically simpler construction. Quantum information is stored in the symmetry-protected degenerate ground states of spin-1 chains, while quantum gates are performed by adiabatic non-Abelian holonomies using only single-site fields and nearest-neighbor couplings. Gate operations respect the symmetry, and so inherit some protection from noise and disorder from the symmetry-protected ground states.

Original languageEnglish
Article number025020
Pages (from-to)1-17
Number of pages17
JournalNew Journal of Physics
Publication statusPublished - Feb 2013

Bibliographical note

Copyright IOP Publishing Ltd and Deutsche Physikalische Gesellschaft. First published in New Journal of Physics, 15(2), Article 025020. The original publication is available at http://doi.org/10.1088/1367-2630/15/2/025020, published by IOP Publishing. Version archived for private and non-commercial use with the permission of the author/s and according to publisher conditions. For further rights please contact the publisher.

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