dorsal/arxiv
View SchemaA scheme for demonstration of fractional statistics of anyons in an exactly solvable model
| Authors | Y. -J. Han, R. Raussendorf, L. -M. Duan |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0702031 |
| URL | https://arxiv.org/abs/quant-ph/0702031 |
| DOI | 10.1103/PhysRevLett.98.150404 |
| Journal | Phys. Rev. Lett. 98, 150404 (2007). |
Abstract
We propose a scheme to demonstrate fractional statistics of anyons in an exactly solvable lattice model proposed by Kitaev that involves four-body interactions. The required many-body ground state, as well as the anyon excitations and their braiding operations, can be conveniently realized through \textit{dynamic}laser manipulation of cold atoms in an optical lattice. Due to the perfect localization of anyons in this model, we show that a quantum circuit with only six qubits is enough for demonstration of the basic braiding statistics of anyons. This opens up the immediate possibility of proof-of-principle experiments with trapped ions, photons, or nuclear magnetic resonance systems.
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"abstract": "We propose a scheme to demonstrate fractional statistics of anyons in an\nexactly solvable lattice model proposed by Kitaev that involves four-body\ninteractions. The required many-body ground state, as well as the anyon\nexcitations and their braiding operations, can be conveniently realized through\n\\textit{dynamic}laser manipulation of cold atoms in an optical lattice. Due to\nthe perfect localization of anyons in this model, we show that a quantum\ncircuit with only six qubits is enough for demonstration of the basic braiding\nstatistics of anyons. This opens up the immediate possibility of\nproof-of-principle experiments with trapped ions, photons, or nuclear magnetic\nresonance systems.",
"arxiv_id": "quant-ph/0702031",
"authors": [
"Y. -J. Han",
"R. Raussendorf",
"L. -M. Duan"
],
"categories": [
"quant-ph",
"cond-mat.other"
],
"doi": "10.1103/PhysRevLett.98.150404",
"journal_ref": "Phys. Rev. Lett. 98, 150404 (2007).",
"title": "A scheme for demonstration of fractional statistics of anyons in an exactly solvable model",
"url": "https://arxiv.org/abs/quant-ph/0702031"
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