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Topological Orders with Spins and Fermions
Af: Laura Ortiz Martin Engelsk Paperback
SPAR
kr 253
Topological Orders with Spins and Fermions
Af: Laura Ortiz Martin Engelsk Paperback
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.
 
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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.
 
Produktdetaljer
Sprog: Engelsk
Sider: 168
ISBN-13: 9783030236519
Indbinding: Paperback
Udgave:
ISBN-10: 303023651X
Udg. Dato: 14 aug 2020
Længde: 0mm
Bredde: 235mm
Højde: 155mm
Oplagsdato: 14 aug 2020
Forfatter(e): Laura Ortiz Martin
Forfatter(e) Laura Ortiz Martin


Kategori Spektralanalyse, spektrokemi, massespektrometri


Sprog Engelsk


Indbinding Paperback


Sider 168


Udgave


Længde 0mm


Bredde 235mm


Højde 155mm


Udg. Dato 14 aug 2020


Oplagsdato 14 aug 2020

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