Fusion rules and vortices in px +i py superconductors

Michael Stone, Suk Bum Chung

Research output: Contribution to journalArticlepeer-review


The "half-quantum" vortices (σ) and quasiparticles (ψ) in a two-dimensional px +i py superconductor obey the Ising-like fusion rules ψ×ψ=1, σ×ψ=σ, and σ×σ= 1+ψ. We explain how the physical fusion of vortex-antivortex pairs allows us to use these rules to read out the information encoded in the topologically protected space of degenerate ground states. We comment on the potential applicability of this fact to quantum computation.

Original languageEnglish (US)
Article number014505
JournalPhysical Review B - Condensed Matter and Materials Physics
Issue number1
StatePublished - 2006

ASJC Scopus subject areas

  • Electronic, Optical and Magnetic Materials
  • Condensed Matter Physics


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