Topological Quantum Computing with Only One Mobile Quasiparticle

2005/09/30 by Steven H. Simon, S. H. Simon, N. E. Bonesteel +6
Computer Science · Mathematics · Physics and Astronomy · #Combinatorics #Computation #Computer science #Mathematics #Physics #Quantum #Quantum Computing Algorithms and Architecture #Quantum computer #Quantum many-body systems #Quantum mechanics #Quasiparticle #Superconductivity #Theoretical physics #Topological Materials and Phenomena #Topological quantum computer #Topology (electrical circuits) #cond-mat.mes-hall #hep-th #quant-ph

paper · pdf · doi:10.1103/physrevlett.96.070503

published as Phys.Rev.Lett. 96 (2006) 070503 · 4 pages, 5 figures

openalex publication_date 2006/02/23 · arxiv created 2006/03/07 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05

Abstract

In a topological quantum computer, universal quantum computation is performed by dragging quasiparticle excitations of certain two dimensional systems around each other to form braids of their world lines in 2 + 1 dimensional space-time. In this Letter we show that any such quantum computation that can be done by braiding n identical quasiparticles can also be done by moving a single quasiparticle around n - 1 other identical quasiparticles whose positions remain fixed.

Citations

• Quantum Phases of Vortices in Rotating Bose-Einstein Condensates
• Braid Topologies for Quantum Computation
• Fault-tolerant quantum computation by anyons
• Anyons from nonsolvable finite groups are sufficient for universal quantum computation
• A Modular Functor Which is Universal¶for Quantum Computation
• Topological quantum computation