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    Introduction to Categorical Aspects of Topological Quantum Computation

    , M.Sc. Thesis Sharif University of Technology Ahmadi, Fatimah (Author) ; Karimipour, Vahid (Supervisor)
    Abstract
    One of the problems facing quantum computation is errors due to interaction with the environment which destroy coherence of quantum states. Most schemes to design a quantum computer therefore focus on finding ways to minimize the interactions of the qubits with the environment. Constructing such systems with large numbers of qubits which are infallible is a hard task and far from being achieved in the near future. There is another quantum computational model which is called topological quantum computation, proposing a different solution. Qubits of this model are quasiparticles of a 2-dimensional topologically ordered system that are called Anyons. In this model gates are nonabelian...