Measurement-Only Topological Quantum Computation via Anyonic Interferometry

Details Measurement-Only Topological Quantum Computation via Anyonic Interferometry Measurement-Only Topological Quantum Computation via Anyonic Interferometry

2008-08-14

arxiv.org/abs/0808.1933v2

Annals Phys. 324, 787-826 (2009)

Physics

Quantum Physics

57 pages, 5 figures; v2: minor corrections

Scientific paper

10.1016/j.aop.2008.09.009

We describe measurement-only topological quantum computation using both projective and interferometrical measurement of topological charge. We demonstrate how anyonic teleportation can be achieved using "forced measurement" protocols for both types of measurement. Using this, it is shown how topological charge measurements can be used to generate the braiding transformations used in topological quantum computation, and hence that the physical transportation of computational anyons is unnecessary. We give a detailed discussion of the anyonics for implementation of topological quantum computation (particularly, using the measurement-only approach) in fractional quantum Hall systems.

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