Topological quantum computing with only one mobile quasiparticle.
In a topological quantum computer, universal quantum computation is performed by dragging quasiparticle excitations of certain two dimensional systems around each other to form braids of their world lines in 2 + 1 dimensional space-time. In this Letter we show that any such quantum computation that...
| Main Authors: | , , , , |
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| Format: | Journal article |
| Language: | English |
| Published: |
2006
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| _version_ | 1797051482144505856 |
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| author | Simon, S Bonesteel, N Freedman, M Petrovic, N Hormozi, L |
| author_facet | Simon, S Bonesteel, N Freedman, M Petrovic, N Hormozi, L |
| author_sort | Simon, S |
| collection | OXFORD |
| description | In a topological quantum computer, universal quantum computation is performed by dragging quasiparticle excitations of certain two dimensional systems around each other to form braids of their world lines in 2 + 1 dimensional space-time. In this Letter we show that any such quantum computation that can be done by braiding n identical quasiparticles can also be done by moving a single quasiparticle around n - 1 other identical quasiparticles whose positions remain fixed. |
| first_indexed | 2024-03-06T18:20:05Z |
| format | Journal article |
| id | oxford-uuid:05fb1c5c-febd-44ef-be4c-76c674760924 |
| institution | University of Oxford |
| language | English |
| last_indexed | 2024-03-06T18:20:05Z |
| publishDate | 2006 |
| record_format | dspace |
| spelling | oxford-uuid:05fb1c5c-febd-44ef-be4c-76c6747609242022-03-26T09:00:12ZTopological quantum computing with only one mobile quasiparticle.Journal articlehttp://purl.org/coar/resource_type/c_dcae04bcuuid:05fb1c5c-febd-44ef-be4c-76c674760924EnglishSymplectic Elements at Oxford2006Simon, SBonesteel, NFreedman, MPetrovic, NHormozi, LIn a topological quantum computer, universal quantum computation is performed by dragging quasiparticle excitations of certain two dimensional systems around each other to form braids of their world lines in 2 + 1 dimensional space-time. In this Letter we show that any such quantum computation that can be done by braiding n identical quasiparticles can also be done by moving a single quasiparticle around n - 1 other identical quasiparticles whose positions remain fixed. |
| spellingShingle | Simon, S Bonesteel, N Freedman, M Petrovic, N Hormozi, L Topological quantum computing with only one mobile quasiparticle. |
| title | Topological quantum computing with only one mobile quasiparticle. |
| title_full | Topological quantum computing with only one mobile quasiparticle. |
| title_fullStr | Topological quantum computing with only one mobile quasiparticle. |
| title_full_unstemmed | Topological quantum computing with only one mobile quasiparticle. |
| title_short | Topological quantum computing with only one mobile quasiparticle. |
| title_sort | topological quantum computing with only one mobile quasiparticle |
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