LEADER 04127nam 22006135 450 001 9910337880503321 005 20200704163627.0 010 $a3-030-23649-8 024 7 $a10.1007/978-3-030-23649-6 035 $a(CKB)4100000008701669 035 $a(MiAaPQ)EBC5825125 035 $a(DE-He213)978-3-030-23649-6 035 $a(PPN)238489795 035 $a(EXLCZ)994100000008701669 100 $a20190711d2019 u| 0 101 0 $aeng 135 $aurcnu|||||||| 181 $ctxt$2rdacontent 182 $cc$2rdamedia 183 $acr$2rdacarrier 200 10$aTopological Orders with Spins and Fermions$b[electronic resource] $eQuantum Phases and Computation /$fby Laura Ortiz Martín 205 $a1st ed. 2019. 210 1$aCham :$cSpringer International Publishing :$cImprint: Springer,$d2019. 215 $a1 online resource (176 pages) 225 1 $aSpringer Theses, Recognizing Outstanding Ph.D. Research,$x2190-5053 300 $a"Doctoral Thesis accepted by the Universidad Complutense de Madrid, Madrid, Spain"--Title page. 311 $a3-030-23648-X 327 $aIntroduction -- 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. 330 $aThis thesis deals with topological orders from two different perspectives: from a condensed matter point of view, where topological orders are considered as breakthrough phases of matter; and from the emerging realm of quantum computation, where topological quantum codes are considered the most appealing platform against decoherence. The thesis reports remarkable studies from both sides. It thoroughly investigates a topological order called the double semion model, a counterpart of the Kitaev model but exhibiting richer quasiparticles as excitations. A new model for symmetry enriched topological order is constructed, which adds an onsite global symmetry to the double semion model. Using this topological phase, a new example of topological code is developed, the semion code, which is non-CSS, additive, non-Pauli and within the stabiliser formalism. Furthermore, the thesis analyses the Rashba spin-orbit coupling within topological insulators, turning the helical edge states into generic edges modes with potential application in spinstronics. New types of topological superconductors are proposed and the novel properties of the correspondingly created Majorana fermions are investigated. These Majorana fermions have inherent properties enabling braiding and the performance of logical gates as fundamental blocks for a universsal quantum computator. . 410 0$aSpringer Theses, Recognizing Outstanding Ph.D. Research,$x2190-5053 606 $aSolid state physics 606 $aSuperconductivity 606 $aSuperconductors 606 $aQuantum computers 606 $aSpintronics 606 $aSolid State Physics$3https://scigraph.springernature.com/ontologies/product-market-codes/P25013 606 $aStrongly Correlated Systems, Superconductivity$3https://scigraph.springernature.com/ontologies/product-market-codes/P25064 606 $aQuantum Information Technology, Spintronics$3https://scigraph.springernature.com/ontologies/product-market-codes/P31070 606 $aQuantum Computing$3https://scigraph.springernature.com/ontologies/product-market-codes/M14070 615 0$aSolid state physics. 615 0$aSuperconductivity. 615 0$aSuperconductors. 615 0$aQuantum computers. 615 0$aSpintronics. 615 14$aSolid State Physics. 615 24$aStrongly Correlated Systems, Superconductivity. 615 24$aQuantum Information Technology, Spintronics. 615 24$aQuantum Computing. 676 $a006.3843 700 $aMartín$b Laura Ortiz$4aut$4http://id.loc.gov/vocabulary/relators/aut$0838634 906 $aBOOK 912 $a9910337880503321 996 $aTopological Orders with Spins and Fermions$92529927 997 $aUNINA