Topological Orders with Spins and Fermions: Quantum Phases and Computation

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Topological Orders with Spins and Fermions: Quantum Phases and Computation
Authors: Laura Ortiz Martín
Year: 2019
Publisher: Springer International Publishing
Language: English
ISBN 13: 9783030236496
ISBN 10: 3030236498
Categories: Computers, Hardware
Pages: 320 / 319
Edition: 1st ed.

Availability: 5000 in stock

SKU: 9783030236496 Categories: ,

Topological Orders with Spins and Fermions: Quantum Phases and Computation Laura Ortiz Martín
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. Categories:
Computers – Hardware
Year:
2019
Edition:
1st ed.
Publisher:
Springer International Publishing
Language:
english
Pages:
176
ISBN 10:
3030236498
ISBN 13:
9783030236496
Series:
Springer Theses
File:
17 MB

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Topological Orders with Spins and Fermions: Quantum Phases and Computation
$15.99

Availability: 5000 in stock