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Updated: Jun 19, 2026

Generation and Coherent Control of Pulsed Quantum Frequency Combs
Published on: June 8, 2018
Numerical analysis of quasiholes of the moore-read wave function
M Baraban1, G Zikos, N Bonesteel
1Department of Physics, Yale University, 217 Prospect Street, New Haven, Connecticut 06511, USA.
Abstract:
We demonstrate numerically that non-Abelian quasihole (qh) excitations of the nu=5/2 fractional quantum Hall state have some of the key properties necessary to support quantum computation. We find that as the qh spacing is increased, the unitary transformation which describes winding two qh's around each other converges exponentially to its asymptotic limit and that the two orthogonal wave functions describing a system with four qh's become exponentially degenerate. We calculate the length scales for these two decays to be xi(U) approximately 2.7l(0) and xi(E) approximately 2.3l(0), respectively. Additionally, we determine which fusion channel is lower in energy when two qh's are brought close together.
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