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- W2011284751 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 $nu$, the ratio of particles to flux quanta, is near 1/2, 1 or 3/2. 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 $nu$ near $1$ and $3/2$, with Berry matrices respectively consistent with Ising and Fibonacci anyons. Near $nu=1/2$, the braids commute." @default.
- W2011284751 created "2016-06-24" @default.
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- W2011284751 date "2012-02-08" @default.
- W2011284751 modified "2023-10-17" @default.
- W2011284751 title "Non-Abelian Braiding of Lattice Bosons" @default.
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- W2011284751 doi "https://doi.org/10.1103/physrevlett.108.066802" @default.
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