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January 18, 2007 Topological Quantum Computing

Summary: 1
January 18, 2007
Topological Quantum Computing
Chetan Nayak
(Station Q)
The computational power of a quantum-mechanical Hilbert space is potentially far greater than that of any
classical device. However, it is difficult to harness it because much of the quantum information contained in a
system is encoded in phase relations which one might expect to be easily destroyed by its interactions with the
outside world (`decoherence'). Therefore, one must keep the error rate low and represent information redundantly
so that errors can be diagnosed and corrected. Remarkably, there are phases of electrons (`topological phases')
in which this can occur automatically. Topological phases occur in the quantum Hall regime and may occur in
other correlated electronic materials. In these phases, the low-energy states are sensitive only to the topology of
the system, so interactions with the environment, which are presumably local, cannot cause errors. Some
examples of such phases will be discussed as well as some ideas about how quantum information could be
stored and manipulated in them.
Center for Spintronics and Quantum Computation (CSQC) University of California, Santa Barbara, CA 93106-6105


Source: Akhmedov, Azer - Department of Mathematics, University of California at Santa Barbara


Collections: Mathematics