Holonomic quantum computing in symmetry-protected ground states of spin chains
Renes, Joseph M.
Brennen, Gavin K.
Bartlett, Stephen D.
- Journal Article
Rights / licenseCreative Commons Attribution-NonCommercial-ShareAlike 3.0 Unported
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. Show more
Journal / seriesNew Journal of Physics
Pages / Article No.
PublisherInstitute of Physics
Organisational unit03781 - Renner, Renato / Renner, Renato
135048 - Information-theoretic methods for physics (SNF)
258932 - Generalized (quantum) information theory (EC)
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