645 citations · 6.4k across the 135 of their papers we have counts for
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cond-mat.str-el2006★ 400 cited
Interacting anyons in topological quantum liquids: The golden chain
Adrian Feiguin, Simon Trebst, Andreas W. W. Ludwig +4
We discuss generalizations of quantum spin Hamiltonians using anyonic degrees of freedom. The simplest model for interacting anyons energetically favors neighboring anyons to fuse…
cond-mat.mes-hall2006★ 59 cited
Large Fourier transforms never exactly realized by braiding conformal blocks
Michael H. Freedman, Zhenghan Wang
Fourier transform is an essential ingredient in Shor's factoring algorithm. In the standard quantum circuit model with the gate set $\{\U(2), \textrm{CNOT}\}$, the discrete Fourier…
cond-mat.mes-hall2006★ 5 cited
Topologization of electron liquids with Chern-Simons theory and quantum computation
Zhenghan Wang
We discuss a nexus among quantum topology, quantum physics and quantum computing.