dorsal/arxiv
View SchemaGood Quantum Convolutional Error Correction Codes And Their Decoding Algorithm Exist
| Authors | H. F. Chau |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/9806032 |
| URL | https://arxiv.org/abs/quant-ph/9806032 |
| DOI | 10.1103/PhysRevA.60.1966 |
Abstract
Quantum convolutional code was introduced recently as an alternative way to protect vital quantum information. To complete the analysis of quantum convolutional code, I report a way to decode certain quantum convolutional codes based on the classical Viterbi decoding algorithm. This decoding algorithm is optimal for a memoryless channel. I also report three simple criteria to test if decoding errors in a quantum convolutional code will terminate after a finite number of decoding steps whenever the Hilbert space dimension of each quantum register is a prime power. Finally, I show that certain quantum convolutional codes are in fact stabilizer codes. And hence, these quantum stabilizer convolutional codes have fault-tolerant implementations.
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"abstract": "Quantum convolutional code was introduced recently as an alternative way to\nprotect vital quantum information. To complete the analysis of quantum\nconvolutional code, I report a way to decode certain quantum convolutional\ncodes based on the classical Viterbi decoding algorithm. This decoding\nalgorithm is optimal for a memoryless channel. I also report three simple\ncriteria to test if decoding errors in a quantum convolutional code will\nterminate after a finite number of decoding steps whenever the Hilbert space\ndimension of each quantum register is a prime power. Finally, I show that\ncertain quantum convolutional codes are in fact stabilizer codes. And hence,\nthese quantum stabilizer convolutional codes have fault-tolerant\nimplementations.",
"arxiv_id": "quant-ph/9806032",
"authors": [
"H. F. Chau"
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"quant-ph"
],
"doi": "10.1103/PhysRevA.60.1966",
"title": "Good Quantum Convolutional Error Correction Codes And Their Decoding Algorithm Exist",
"url": "https://arxiv.org/abs/quant-ph/9806032"
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