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Quantum computation can be done by using non-abelian anyons which are neither bosons nor fermions. These exotic particles live only in two dimensional systems. Quasi-particles of = 5/2 fractional quantum Hall state will provide such non-abelian anyons. We discuss a NOT gate operation by braiding these anyons. In this work fundamental concepts of quantum computation are reviewed. Non-abelian anyons and topological phases are introduced. Some basic facts about fractional quantum Hall state are given. This is a book version of the MS thesis of the author.

Produktbeschreibung
Quantum computation can be done by using non-abelian anyons which are neither bosons nor fermions. These exotic particles live only in two dimensional systems. Quasi-particles of = 5/2 fractional quantum Hall state will provide such non-abelian anyons. We discuss a NOT gate operation by braiding these anyons. In this work fundamental concepts of quantum computation are reviewed. Non-abelian anyons and topological phases are introduced. Some basic facts about fractional quantum Hall state are given. This is a book version of the MS thesis of the author.
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Autorenporträt
Ismail Enes Uysal has received BS and MS in Physics from Koc University, Istanbul, Turkey, in 2009 and 2011, under the supervision of Prof. Tekin Dereli. Although he started theoretical study, now he is pursuing a PhD degree in Electrical Engineering in KAUST, Saudi Arabia, since 2011.