Surface codes, the 2D classical Ising model, and non-interacting fermions

In this thesis, we consider the task of simulating measurement-based quantum computation (MBQC) on surface code states: the generalization of Kitaev's toric code to graphs embedded on a surface of higher genus. We define a family of higher genus graphs and a simple ordering of single qubit mea...

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Bibliographic Details
Main Author: Goff, Leonard Thomas
Language:English
Published: University of British Columbia 2011
Online Access:http://hdl.handle.net/2429/36374