Abstract
We report on a numerical experiment in which we use time-dependent potentials to braid non-Abelian quasiparticles. We consider lattice bosons in a uniform magnetic field within the fractional quantum Hall regime, where , the ratio of particles to flux quanta, is near , 1, or . We introduce time-dependent potentials which move quasiparticle excitations around one another, explicitly simulating a braiding operation which could implement part of a gate in a quantum computation. We find that different braids do not commute for near 1 and , with Berry matrices, respectively, consistent with Ising and Fibonacci anyons. Near , the braids commute.
- Received 25 October 2011
DOI:https://doi.org/10.1103/PhysRevLett.108.066802
© 2012 American Physical Society