Schedule Jun 07, 2004
Topological quantum computing for beginners
John Preskill (Caltech)

I will describe the principles of fault-tolerant quantum computing, and explain why topological approaches to fault tolerance seem especially promising. A two-dimensional medium that supports abelian anyons has a topological degeneracy that can exploited for robust storage of quantum information. A system of n nonabelian anyons in two-dimensions has an exponentially large topologically protected Hilbert space, and quantum information can be processed by braiding the anyons. I will discuss in detail two cases where nonabelian anyons can simulate a quantum circuit efficiently: fluxons in a "nonabelian superconductor," and "Fibonacci anyons" with especially simple fusion rules.

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