Non-abelian fractional quantum hall effect for fault-resistant topological quantum computation. Page: 3 of 41
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Non-Abelian Fractional Quantum Hall
Effect for Fault-Resistant Topological
Wei Pan, Madhu Thalakulam, Xiaoyan Shi, Matthew Crawford, Erik Nielsen
Quantum Phenomena Department
Jeff G. Cederberg
Advanced Materials Sciences Department
Sandia National Laboratories
P.O. Box 5800
Albuquerque, New Mexico 87185-MS 1086
Topological quantum computation (TQC) has emerged as one of the most promising
approaches to quantum computation. Under this approach, the topological properties
of a non-Abelian quantum system, which are insensitive to local perturbations, are
utilized to process and transport quantum information. The encoded information can
be protected and rendered immune from nearly all environmental decoherence
processes without additional error-correction. It is believed that the low energy
excitations of the so-called v=5/2 fractional quantum Hall (FQH) state may obey non-
Abelian statistics. Our goal is to explore this novel FQH state and to understand and
create a scientific foundation of this quantum matter state for the emerging TQC
We present in this report the results from a coherent study that focused on obtaining a
knowledge base of the physics that underpins TQC. We first present the results of
bulk transport properties, including the nature of disorder on the 5/2 state and spin
transitions in the second Landau level. We then describe the development and
application of edge tunneling techniques to quantify and understand the quasiparticle
physics of the 5/2 state.
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Pan, Wei; Thalakulam, Madhu; Shi, Xiaoyan; Crawford, Matthew; Nielsen, Erik & Cederberg, Jeffrey George. Non-abelian fractional quantum hall effect for fault-resistant topological quantum computation., report, October 1, 2013; Albuquerque, New Mexico. (digital.library.unt.edu/ark:/67531/metadc866182/m1/3/: accessed January 15, 2019), University of North Texas Libraries, Digital Library, digital.library.unt.edu; crediting UNT Libraries Government Documents Department.