Engineering complex topological memories from simple Abelian models

Journal Article · Thu Sep 15 00:00:00 EDT 2011 · Annals of Physics (New York)

DOI:https://doi.org/10.1016/j.aop.2011.05.008· OSTI ID:21583334

Lahtinen, Ville ^[1]; Doucot, Benoit ^[2]; Pachos, Jiannis K ^[1]

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1. School of Physics and Astronomy, University of Leeds, Woodhouse Lane, Leeds LS2 9JT (United Kingdom)
2. Laboratoire de Physique Theorique et Hautes Energies, Universite Paris 6 et 7, Paris (France)

In three spatial dimensions, particles are limited to either bosonic or fermionic statistics. Two-dimensional systems, on the other hand, can support anyonic quasiparticles exhibiting richer statistical behaviors. An exciting proposal for quantum computation is to employ anyonic statistics to manipulate information. Since such statistical evolutions depend only on topological characteristics, the resulting computation is intrinsically resilient to errors. The so-called non-Abelian anyons are most promising for quantum computation, but their physical realization may prove to be complex. Abelian anyons, however, are easier to understand theoretically and realize experimentally. Here we show that complex topological memories inspired by non-Abelian anyons can be engineered in Abelian models. We explicitly demonstrate the control procedures for the encoding and manipulation of quantum information in specific lattice models that can be implemented in the laboratory. This bridges the gap between requirements for anyonic quantum computation and the potential of state-of-the-art technology. - Highlights: > A novel quantum memory using Abelian anyons is developed. > This uses an advanced encoding, inspired by non-Abelian anyons. > Errors are suppressed topologically, by means of single spin interactions. > An implementation with current Josephson junction technology is proposed.

• OSTI ID: 21583334
• Journal Information: Annals of Physics (New York), Journal Name: Annals of Physics (New York) Journal Issue: 9 Vol. 326; ISSN 0003-4916; ISSN APNYA6
• Country of Publication: United States
• Language: English

Related Subjects

71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
ANGULAR MOMENTUM
ANYONS
CALCULATION METHODS
COMPUTERS
ERRORS
FERMIONS
INFORMATION
INTERACTIONS
JOSEPHSON JUNCTIONS
MATHEMATICS
PARTICLE PROPERTIES
POTENTIALS
QUANTUM COMPUTERS
QUANTUM INFORMATION
QUASI PARTICLES
SPIN
STATISTICS
SUPERCONDUCTING JUNCTIONS
TOPOLOGY
TWO-DIMENSIONAL CALCULATIONS