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Quantum Origami: Transversal Gates for Quantum Computation and Measurement of Topological Order
[article]
2019
arXiv
pre-print
In topology, a torus remains invariant under certain non-trivial transformations known as modular transformations. In the context of topologically ordered quantum states of matter, these transformations encode the braiding statistics and fusion rules of emergent anyonic excitations and thus serve as a diagnostic of topological order. Moreover, modular transformations of higher genus surfaces, e.g. a torus with multiple handles, can enhance the computational power of a topological state, in many
arXiv:1711.05752v3
fatcat:qpr6o3nq5nbjxpxvxojdz7jtvq