Quantum computing with non-Abelian quasiparticles
In topological quantum computation quantum information is stored in exotic states of matter which are intrinsically protected from decoherence, and quantum operations are carried out by dragging particle-like excitations (quasiparticles) around one another in two space dimensions. The resulting quas...
| Main Authors: | , , , |
|---|---|
| Format: | Journal article |
| Language: | English |
| Published: |
2007
|
| _version_ | 1797060178758074368 |
|---|---|
| author | Bonesteel, N Hormozi, L Zikos, G Simon, S |
| author_facet | Bonesteel, N Hormozi, L Zikos, G Simon, S |
| author_sort | Bonesteel, N |
| collection | OXFORD |
| description | In topological quantum computation quantum information is stored in exotic states of matter which are intrinsically protected from decoherence, and quantum operations are carried out by dragging particle-like excitations (quasiparticles) around one another in two space dimensions. The resulting quasiparticle trajectories define world-lines in three dimensional space-time, and the corresponding quantum operations depend only on the topology of the braids formed by these world-lines. We describe recent work showing how to find braids which can be used to perform arbitrary quantum computations using a specific kind of quasiparticle (those described by the so-called Fibonacci anyon model) which are thought to exist in the experimentally observed v = 12/5 fractional quantum Hall state. © World Scientific Publishing Company. |
| first_indexed | 2024-03-06T20:13:40Z |
| format | Journal article |
| id | oxford-uuid:2b6caf61-ddb1-4cb5-a735-64ea7a973b47 |
| institution | University of Oxford |
| language | English |
| last_indexed | 2024-03-06T20:13:40Z |
| publishDate | 2007 |
| record_format | dspace |
| spelling | oxford-uuid:2b6caf61-ddb1-4cb5-a735-64ea7a973b472022-03-26T12:30:51ZQuantum computing with non-Abelian quasiparticlesJournal articlehttp://purl.org/coar/resource_type/c_dcae04bcuuid:2b6caf61-ddb1-4cb5-a735-64ea7a973b47EnglishSymplectic Elements at Oxford2007Bonesteel, NHormozi, LZikos, GSimon, SIn topological quantum computation quantum information is stored in exotic states of matter which are intrinsically protected from decoherence, and quantum operations are carried out by dragging particle-like excitations (quasiparticles) around one another in two space dimensions. The resulting quasiparticle trajectories define world-lines in three dimensional space-time, and the corresponding quantum operations depend only on the topology of the braids formed by these world-lines. We describe recent work showing how to find braids which can be used to perform arbitrary quantum computations using a specific kind of quasiparticle (those described by the so-called Fibonacci anyon model) which are thought to exist in the experimentally observed v = 12/5 fractional quantum Hall state. © World Scientific Publishing Company. |
| spellingShingle | Bonesteel, N Hormozi, L Zikos, G Simon, S Quantum computing with non-Abelian quasiparticles |
| title | Quantum computing with non-Abelian quasiparticles |
| title_full | Quantum computing with non-Abelian quasiparticles |
| title_fullStr | Quantum computing with non-Abelian quasiparticles |
| title_full_unstemmed | Quantum computing with non-Abelian quasiparticles |
| title_short | Quantum computing with non-Abelian quasiparticles |
| title_sort | quantum computing with non abelian quasiparticles |
| work_keys_str_mv | AT bonesteeln quantumcomputingwithnonabelianquasiparticles AT hormozil quantumcomputingwithnonabelianquasiparticles AT zikosg quantumcomputingwithnonabelianquasiparticles AT simons quantumcomputingwithnonabelianquasiparticles |