dorsal/arxiv
View SchemaTopological Quantum Computing with Only One Mobile Quasiparticle
| Authors | S. H. Simon, N. E. Bonesteel, M. H. Freedman, N. Petrovic, L. Hormozi |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0509175 |
| URL | https://arxiv.org/abs/quant-ph/0509175 |
| DOI | 10.1103/PhysRevLett.96.070503 |
| Journal | Phys.Rev.Lett. 96 (2006) 070503 |
Abstract
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 paper 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.
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"abstract": "In a topological quantum computer, universal quantum computation is performed\nby dragging quasiparticle excitations of certain two dimensional systems around\neach other to form braids of their world lines in 2+1 dimensional space-time.\nIn this paper we show that any such quantum computation that can be done by\nbraiding $n$ identical quasiparticles can also be done by moving a single\nquasiparticle around n-1 other identical quasiparticles whose positions remain\nfixed.",
"arxiv_id": "quant-ph/0509175",
"authors": [
"S. H. Simon",
"N. E. Bonesteel",
"M. H. Freedman",
"N. Petrovic",
"L. Hormozi"
],
"categories": [
"quant-ph",
"cond-mat.mes-hall",
"hep-th"
],
"doi": "10.1103/PhysRevLett.96.070503",
"journal_ref": "Phys.Rev.Lett. 96 (2006) 070503",
"title": "Topological Quantum Computing with Only One Mobile Quasiparticle",
"url": "https://arxiv.org/abs/quant-ph/0509175"
},
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