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quant-ph2005
Topological Quantum Computing with Only One Mobile Quasiparticle
S. H. Simon, N. E. Bonesteel, M. H. Freedman +2
In a topological quantum computer, universal quantum computation is performed by dragging quasiparticle excitations of certain two dimensional systems around each other to form bra…
quant-ph2001
A magnetic model with a possible Chern-Simons phase
Michael H. Freedman
An elementary family of local Hamiltonians , is described for a dimensional quantum mechanical system of spin particles. On the toru…
quant-ph2001
Topological Quantum Computation
Michael H. Freedman, Alexei Kitaev, Michael J. Larsen +1
The theory of quantum computation can be constructed from the abstract study of anyonic systems. In mathematical terms, these are unitary topological modular functors. They underli…