dorsal/arxiv
View SchemaQuantum Convolutional Codes Derived From Reed-Solomon and Reed-Muller Codes
| Authors | Salah A. Aly, Andreas Klappenecker, Pradeep Kiran Sarvepalli |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0701037 |
| URL | https://arxiv.org/abs/quant-ph/0701037 |
Abstract
Convolutional stabilizer codes promise to make quantum communication more reliable with attractive online encoding and decoding algorithms. This paper introduces a new approach to convolutional stabilizer codes based on direct limit constructions. Two families of quantum convolutional codes are derived from generalized Reed-Solomon codes and from Reed- Muller codes. A Singleton bound for pure convolutional stabilizer codes is given.
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"abstract": "Convolutional stabilizer codes promise to make quantum communication more\nreliable with attractive online encoding and decoding algorithms. This paper\nintroduces a new approach to convolutional stabilizer codes based on direct\nlimit constructions. Two families of quantum convolutional codes are derived\nfrom generalized Reed-Solomon codes and from Reed- Muller codes. A Singleton\nbound for pure convolutional stabilizer codes is given.",
"arxiv_id": "quant-ph/0701037",
"authors": [
"Salah A. Aly",
"Andreas Klappenecker",
"Pradeep Kiran Sarvepalli"
],
"categories": [
"quant-ph",
"cs.IT",
"math.IT"
],
"title": "Quantum Convolutional Codes Derived From Reed-Solomon and Reed-Muller Codes",
"url": "https://arxiv.org/abs/quant-ph/0701037"
},
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