Topological Quantum Computation with the universal R matrix for Ising anyons

Understand

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.