dorsal/arxiv
View SchemaTopological Quantum Compiling
| Authors | L. Hormozi, G. Zikos, N. E. Bonesteel, S. H. Simon |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0610111 |
| URL | https://arxiv.org/abs/quant-ph/0610111 |
| DOI | 10.1103/PhysRevB.75.165310 |
| Journal | Phys. Rev. B 75, 165310 (2007) |
Abstract
A method for compiling quantum algorithms into specific braiding patterns for non-Abelian quasiparticles described by the so-called Fibonacci anyon model is developed. The method is based on the observation that a universal set of quantum gates acting on qubits encoded using triplets of these quasiparticles can be built entirely out of three-stranded braids (three-braids). These three-braids can then be efficiently compiled and improved to any required accuracy using the Solovay-Kitaev algorithm.
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"abstract": "A method for compiling quantum algorithms into specific braiding patterns for\nnon-Abelian quasiparticles described by the so-called Fibonacci anyon model is\ndeveloped. The method is based on the observation that a universal set of\nquantum gates acting on qubits encoded using triplets of these quasiparticles\ncan be built entirely out of three-stranded braids (three-braids). These\nthree-braids can then be efficiently compiled and improved to any required\naccuracy using the Solovay-Kitaev algorithm.",
"arxiv_id": "quant-ph/0610111",
"authors": [
"L. Hormozi",
"G. Zikos",
"N. E. Bonesteel",
"S. H. Simon"
],
"categories": [
"quant-ph",
"cond-mat.mes-hall"
],
"doi": "10.1103/PhysRevB.75.165310",
"journal_ref": "Phys. Rev. B 75, 165310 (2007)",
"title": "Topological Quantum Compiling",
"url": "https://arxiv.org/abs/quant-ph/0610111"
},
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