dorsal/arxiv
View SchemaChiral Spin Liquids and Quantum Error Correcting Codes
| Authors | N. E. Bonesteel |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0006092 |
| URL | https://arxiv.org/abs/quant-ph/0006092 |
| DOI | 10.1103/PhysRevA.62.062310 |
| Journal | Phys. Rev. A 62, 062310 (2000) |
Abstract
The possibility of using the two-fold topological degeneracy of spin-1/2 chiral spin liquid states on the torus to construct quantum error correcting codes is investigated. It is shown that codes constructed using these states on finite periodic lattices do not meet the necessary and sufficient conditions for correcting even a single qubit error with perfect fidelity. However, for large enough lattice sizes these conditions are approximately satisfied, and the resulting codes may therefore be viewed as approximate quantum error correcting codes.
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"abstract": "The possibility of using the two-fold topological degeneracy of spin-1/2\nchiral spin liquid states on the torus to construct quantum error correcting\ncodes is investigated. It is shown that codes constructed using these states on\nfinite periodic lattices do not meet the necessary and sufficient conditions\nfor correcting even a single qubit error with perfect fidelity. However, for\nlarge enough lattice sizes these conditions are approximately satisfied, and\nthe resulting codes may therefore be viewed as approximate quantum error\ncorrecting codes.",
"arxiv_id": "quant-ph/0006092",
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"doi": "10.1103/PhysRevA.62.062310",
"journal_ref": "Phys. Rev. A 62, 062310 (2000)",
"title": "Chiral Spin Liquids and Quantum Error Correcting Codes",
"url": "https://arxiv.org/abs/quant-ph/0006092"
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