dorsal/arxiv
View SchemaDescription of a quantum convolutional code
| Authors | H. Ollivier, J. -P. Tillich |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0304189 |
| URL | https://arxiv.org/abs/quant-ph/0304189 |
| DOI | 10.1103/PhysRevLett.91.177902 |
Abstract
We describe a quantum error correction scheme aimed at protecting a flow of quantum information over long distance communication. It is largely inspired by the theory of classical convolutional codes which are used in similar circumstances in classical communication. The particular example shown here uses the stabilizer formalism, which provides an explicit encoding circuit. An associated error estimation algorithm is given explicitly and shown to provide the most likely error over any memoryless quantum channel, while its complexity grows only linearly with the number of encoded qubits.
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"abstract": "We describe a quantum error correction scheme aimed at protecting a flow of\nquantum information over long distance communication. It is largely inspired by\nthe theory of classical convolutional codes which are used in similar\ncircumstances in classical communication. The particular example shown here\nuses the stabilizer formalism, which provides an explicit encoding circuit. An\nassociated error estimation algorithm is given explicitly and shown to provide\nthe most likely error over any memoryless quantum channel, while its complexity\ngrows only linearly with the number of encoded qubits.",
"arxiv_id": "quant-ph/0304189",
"authors": [
"H. Ollivier",
"J. -P. Tillich"
],
"categories": [
"quant-ph"
],
"doi": "10.1103/PhysRevLett.91.177902",
"title": "Description of a quantum convolutional code",
"url": "https://arxiv.org/abs/quant-ph/0304189"
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