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Speaker:
Eric Rowell, Indiana University
Title:
Algebraic Aspects of Topological Quantum Computing
Abstract:
Quantum computers would take advantage of quantum mechanical phenomena
to solve problems more efficiently than classical computers. The
topological model of Freedman/Kitaev uses topological degrees of
freedom to achieve
a higher error tolerence than the quantum circuit model. Moreover,
their model has a purely algebraic counterpart called a Modular
Category. From this correspondence, many fundamental quantum
computational problems can be translated into algebraic questions,
interesting in their own right.
In this talk I will briefly describe topological quantum computers
and their algebraic conterparts. As time permits, I will discuss a
some problems and results underscoring the applications of algebra
to quantum computing.
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