ABSTRACT:
A topological quantum computer is a hypothetical device in which intrinsic faulttolerance is embedded in the hardware of the quantum computer. It is envisioned that in these devices quantum information will be stored in certain "topologically ordered" states of matter, and quantum computation is carried out by braiding the worldlines of quasiparticle excitations that obey nonAbelian statistics, around one another, in specific patterns. Certain fractional quantum Hall states are among the prime candidates for realizing nonAbelian quasiparticles that can be used for topological quantum computation. I will review some of the properties of these states, and describe a method for finding braiding patterns which can be used to carry out a universal set of quantum gates on encoded qubits based on nonAbelian quasiparticles that can be realized as excitations of the ReadRezayi series of fractional quantum Hall states.

Condensed Matter Seminar Thursday, January 15, 2009 4:00 PM Physics Building, Room 204 Note special time. Note special room. 
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