Measurement-Only Topological Quantum Computation via Anyonic Interferometry
arXiv:0808.1933 · doi:10.1016/j.aop.2008.09.009
Abstract
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.
57 pages, 5 figures; v2: minor corrections
References in corpus (9)
- Detecting Non-Abelian Statistics in the nu=5/2 Fractional Quantum Hall State
- Measurement-Only Topological Quantum Computation
- Realization of a Laughlin quasiparticle interferometer: Observation of fractional statistics
- Fractional Quantum Hall Hierarchy and the Second Landau Level
- Interferometry of non-Abelian Anyons
- Fractional Quantum Hall Effect in the Second Landau Level
- Primary-Filling e/3 Quasiparticle Interferometer
- Computation by measurements: a unifying picture
- Double Point Contact in the k=3 Read-Rezayi State