dorsal/arxiv
View SchemaA direct approach to fault-tolerance in measurement-based quantum computation via teleportation
| Authors | Marcus Silva, Vincent Danos, Elham Kashefi, Harold Ollivier |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0611273 |
| URL | https://arxiv.org/abs/quant-ph/0611273 |
| DOI | 10.1088/1367-2630/9/6/192 |
| Journal | New J. Phys. 9 192 (2007) |
Abstract
We discuss a simple variant of the one-way quantum computing model [R. Raussendorf and H.-J. Briegel, PRL 86, 5188, 2001], called the Pauli measurement model, where measurements are restricted to be along the eigenbases of the Pauli X and Y operators, while auxiliary qubits can be prepared both in the $\ket{+_{\pi\over 4}}:={1/\sqrt{2}}(\ket{0}+e^{i{\pi\over 4}}\ket{1})$ state, and the usual $\ket{+}:={1/ \sqrt{2}}(\ket{0}+\ket{1})$ state. We prove the universality of this quantum computation model, and establish a standardization procedure which permits all entanglement and state preparation to be performed at the beginning of computation. This leads us to develop a direct approach to fault-tolerance by simple transformations of the entanglement graph and preparation operations, while error correction is performed naturally via syndrome-extracting teleportations.
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"abstract": "We discuss a simple variant of the one-way quantum computing model [R.\nRaussendorf and H.-J. Briegel, PRL 86, 5188, 2001], called the Pauli\nmeasurement model, where measurements are restricted to be along the eigenbases\nof the Pauli X and Y operators, while auxiliary qubits can be prepared both in\nthe $\\ket{+_{\\pi\\over 4}}:={1/\\sqrt{2}}(\\ket{0}+e^{i{\\pi\\over 4}}\\ket{1})$\nstate, and the usual $\\ket{+}:={1/ \\sqrt{2}}(\\ket{0}+\\ket{1})$ state. We prove\nthe universality of this quantum computation model, and establish a\nstandardization procedure which permits all entanglement and state preparation\nto be performed at the beginning of computation. This leads us to develop a\ndirect approach to fault-tolerance by simple transformations of the\nentanglement graph and preparation operations, while error correction is\nperformed naturally via syndrome-extracting teleportations.",
"arxiv_id": "quant-ph/0611273",
"authors": [
"Marcus Silva",
"Vincent Danos",
"Elham Kashefi",
"Harold Ollivier"
],
"categories": [
"quant-ph"
],
"doi": "10.1088/1367-2630/9/6/192",
"journal_ref": "New J. Phys. 9 192 (2007)",
"title": "A direct approach to fault-tolerance in measurement-based quantum computation via teleportation",
"url": "https://arxiv.org/abs/quant-ph/0611273"
},
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