dorsal/arxiv
View SchemaBraid Topologies for Quantum Computation
| Authors | N. E. Bonesteel, Layla Hormozi, Georgios Zikos, Steven H. Simon |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0505065 |
| URL | https://arxiv.org/abs/quant-ph/0505065 |
| DOI | 10.1103/PhysRevLett.95.140503 |
| Journal | Phys. Rev. Lett. 95, 140503 (2005) |
Abstract
In topological quantum computation, quantum information is stored in states which are intrinsically protected from decoherence, and quantum gates 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 gates depend only on the topology of the braids formed by these world-lines. We show how to find braids that yield a universal set of quantum gates for qubits encoded using a specific kind of quasiparticle which is particularly promising for experimental realization.
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"abstract": "In topological quantum computation, quantum information is stored in states\nwhich are intrinsically protected from decoherence, and quantum gates are\ncarried out by dragging particle-like excitations (quasiparticles) around one\nanother in two space dimensions. The resulting quasiparticle trajectories\ndefine world-lines in three dimensional space-time, and the corresponding\nquantum gates depend only on the topology of the braids formed by these\nworld-lines. We show how to find braids that yield a universal set of quantum\ngates for qubits encoded using a specific kind of quasiparticle which is\nparticularly promising for experimental realization.",
"arxiv_id": "quant-ph/0505065",
"authors": [
"N. E. Bonesteel",
"Layla Hormozi",
"Georgios Zikos",
"Steven H. Simon"
],
"categories": [
"quant-ph",
"cond-mat.mes-hall"
],
"doi": "10.1103/PhysRevLett.95.140503",
"journal_ref": "Phys. Rev. Lett. 95, 140503 (2005)",
"title": "Braid Topologies for Quantum Computation",
"url": "https://arxiv.org/abs/quant-ph/0505065"
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