dorsal/arxiv
View SchemaAnyons from non-solvable finite groups are sufficient for universal quantum computation
| Authors | Carlos Mochon |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0206128 |
| URL | https://arxiv.org/abs/quant-ph/0206128 |
| DOI | 10.1103/PhysRevA.67.022315 |
| Journal | Phys. Rev. A 67, 022315 (2003) |
Abstract
We present a constructive proof that anyonic magnetic charges with fluxes in a non-solvable finite group can perform universal quantum computations. The gates are built out of the elementary operations of braiding, fusion, and vacuum pair creation, supplemented by a reservoir of ancillas of known flux. Procedures for building the ancilla reservoir and for correcting leakage are also described. Finally, a universal qudit gate-set, which is ideally suited for anyons, is presented. The gate-set consists of classical computation supplemented by measurements of the X operator.
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"abstract": "We present a constructive proof that anyonic magnetic charges with fluxes in\na non-solvable finite group can perform universal quantum computations. The\ngates are built out of the elementary operations of braiding, fusion, and\nvacuum pair creation, supplemented by a reservoir of ancillas of known flux.\nProcedures for building the ancilla reservoir and for correcting leakage are\nalso described. Finally, a universal qudit gate-set, which is ideally suited\nfor anyons, is presented. The gate-set consists of classical computation\nsupplemented by measurements of the X operator.",
"arxiv_id": "quant-ph/0206128",
"authors": [
"Carlos Mochon"
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"quant-ph"
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"doi": "10.1103/PhysRevA.67.022315",
"journal_ref": "Phys. Rev. A 67, 022315 (2003)",
"title": "Anyons from non-solvable finite groups are sufficient for universal quantum computation",
"url": "https://arxiv.org/abs/quant-ph/0206128"
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