Topological Orders with Spins and Fermions : Quantum Phases and Computation / by Laura Ortiz Martín.

Format:

Book

Author/Creator:

Martín, Laura Ortiz, author.

Contributor:

SpringerLink (Online service)

Series:

Physics and Astronomy (Springer-11651)

Springer Theses, Recognizing Outstanding Ph.D. Research,. 2190-5053

Springer Theses, Recognizing Outstanding Ph.D. Research, 2190-5053

Language:

English

Subjects (All):

Solid state physics.

Superconductivity.

Superconductors.

Quantum computers.

Spintronics.

Solid State Physics.

Strongly Correlated Systems, Superconductivity.

Quantum Information Technology, Spintronics.

Quantum Computing.

Local Subjects:

Solid State Physics.

Strongly Correlated Systems, Superconductivity.

Quantum Information Technology, Spintronics.

Quantum Computing.

Physical Description:

1 online resource (XVII, 168 pages) : 65 illustrations, 56 illustrations in color.

Edition:

First edition 2019.

Contained In:

Springer eBooks

Place of Publication:

Cham : Springer International Publishing : Imprint: Springer, 2019.

System Details:

text file PDF

Summary:

This thesis deals with topological orders from two different perspectives: from a condensed matter point of view, where topological orders are considered as breakthrough phases of matter; and from the emerging realm of quantum computation, where topological quantum codes are considered the most appealing platform against decoherence. The thesis reports remarkable studies from both sides. It thoroughly investigates a topological order called the double semion model, a counterpart of the Kitaev model but exhibiting richer quasiparticles as excitations. A new model for symmetry enriched topological order is constructed, which adds an onsite global symmetry to the double semion model. Using this topological phase, a new example of topological code is developed, the semion code, which is non-CSS, additive, non-Pauli and within the stabiliser formalism. Furthermore, the thesis analyses the Rashba spin-orbit coupling within topological insulators, turning the helical edge states into generic edges modes with potential application in spinstronics. New types of topological superconductors are proposed and the novel properties of the correspondingly created Majorana fermions are investigated. These Majorana fermions have inherent properties enabling braiding and the performance of logical gates as fundamental blocks for a universsal quantum computator. .

Contents:

Introduction

Topology in Condensed Matter

Topology in Quantum Information

Spin systems

The bilayer double semion model

Double semion model as a quantum memory

Fermionic systems

Topological insulators

Topological superconductors

Conclusions and appendices.

Other Format:

Printed edition:

ISBN:

978-3-030-23649-6

9783030236496

Access Restriction:

Restricted for use by site license.