Fig. 1: An illustration of the braid J4 that acts diagonally on a single qubit away from the initial α-type particle. | Nature Communications

Fig. 1: An illustration of the braid J4 that acts diagonally on a single qubit away from the initial α-type particle.

From: Universal quantum computation using Ising anyons from a non-semisimple topological quantum field theory

Fig. 1: An illustration of the braid J4 that acts diagonally on a single qubit away from the initial α-type particle.

Because the topology of this braid is such that it can slide through the result of all previous fusions, this braid does nothing to qubits appearing earlier in the fusion tree. Topologically, it is the same as a simple twist acting on a qubit lower in the fusion tree.

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