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Tilted Interferometry Realizes Universal Quantum Computation in the Ising TQFT without Overpasses

Michael Freedman·Chetan Nayak·Kevin Walker
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Abstract

We show how a universal gate set for topological quantum computation in the Ising TQFT, the non-Abelian sector of the putative effective field theory of the $ν=5/2$ fractional quantum Hall state, can be implemented. This implementation does not require overpasses or surgery, unlike the construction of Bravyi and Kitaev, which we take as a starting point. However, it requires measurements of the topological charge around time-like loops encircling moving quasiaparticles, which require the ability to perform `tilted' interferometry measurements.

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Michael Freedman, Chetan Nayak, Kevin Walker. 2005-12-05. Tilted Interferometry Realizes Universal Quantum Computation in the Ising TQFT without Overpasses. https://arxiv.org/abs/cond-mat/0512072

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