Topological Quantum Computation with the universal R matrix for Ising anyons

Details Topological Quantum Computation with the universal R matrix for Ising anyons Topological Quantum Computation with the universal R matrix for Ising anyons

2008-12-12

arxiv.org/abs/0812.2333v1

Physics

Mathematical Physics

10 pages, 2 figures; Proc. of the VII Int. Workshop "Lie Theory and its Applications in Physics", June 2007, Varna, Bulgaria,

Scientific paper

We show that the braid-group extension of the monodromy-based topological quantum computation scheme of Das Sarma et al. can be understood in terms of the universal R matrix for the Ising model giving similar results to those obtained by direct analytic continuation of multi-anyon Pfaffian wave functions. It is necessary, however, to take into account the projection on spinor states with definite total parity which is responsible for the topological entanglement in the Pfaffian topological quantum computer.

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