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Article: Good quantum-convolutional error-correction codes and their decoding algorithm exist
Title | Good quantum-convolutional error-correction codes and their decoding algorithm exist |
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Authors | |
Keywords | Physics |
Issue Date | 1999 |
Publisher | American Physical Society. The Journal's web site is located at http://pra.aps.org |
Citation | Physical Review A (Atomic, Molecular and Optical Physics), 1999, v. 60 n. 3, p. 1966-1974 How to Cite? |
Abstract | A quantum-convolutional code was introduced recently as an alternative way to protect vital quantum information. To complete the analysis of the 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. ©1999 The American Physical Society. |
Persistent Identifier | http://hdl.handle.net/10722/43267 |
ISSN | 2014 Impact Factor: 2.808 |
ISI Accession Number ID | |
References |
DC Field | Value | Language |
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dc.contributor.author | Chau, HF | en_HK |
dc.date.accessioned | 2007-03-23T04:42:30Z | - |
dc.date.available | 2007-03-23T04:42:30Z | - |
dc.date.issued | 1999 | en_HK |
dc.identifier.citation | Physical Review A (Atomic, Molecular and Optical Physics), 1999, v. 60 n. 3, p. 1966-1974 | - |
dc.identifier.issn | 1050-2947 | en_HK |
dc.identifier.uri | http://hdl.handle.net/10722/43267 | - |
dc.description.abstract | A quantum-convolutional code was introduced recently as an alternative way to protect vital quantum information. To complete the analysis of the 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. ©1999 The American Physical Society. | en_HK |
dc.format.extent | 124722 bytes | - |
dc.format.extent | 28160 bytes | - |
dc.format.mimetype | application/pdf | - |
dc.format.mimetype | application/msword | - |
dc.language | eng | en_HK |
dc.publisher | American Physical Society. The Journal's web site is located at http://pra.aps.org | en_HK |
dc.relation.ispartof | Physical Review A (Atomic, Molecular and Optical Physics) | - |
dc.rights | Copyright 1999 by The American Physical Society. This article is available online at https://doi.org/10.1103/PhysRevA.60.1966 | - |
dc.subject | Physics | en_HK |
dc.title | Good quantum-convolutional error-correction codes and their decoding algorithm exist | en_HK |
dc.type | Article | en_HK |
dc.identifier.openurl | http://library.hku.hk:4550/resserv?sid=HKU:IR&issn=0556-2791&volume=60&issue=3&spage=1966&epage=1974&date=1999&atitle=Good+quantum-convolutional+error-correction+codes+and+their+decoding+algorithm+exist | en_HK |
dc.identifier.email | Chau, HF: hfchau@hku.hk | en_HK |
dc.identifier.authority | Chau, HF=rp00669 | en_HK |
dc.description.nature | published_or_final_version | en_HK |
dc.identifier.doi | 10.1103/PhysRevA.60.1966 | en_HK |
dc.identifier.scopus | eid_2-s2.0-0346614847 | en_HK |
dc.identifier.hkuros | 47337 | - |
dc.relation.references | http://www.scopus.com/mlt/select.url?eid=2-s2.0-0346614847&selection=ref&src=s&origin=recordpage | en_HK |
dc.identifier.volume | 60 | en_HK |
dc.identifier.issue | 3 | en_HK |
dc.identifier.spage | 1966 | en_HK |
dc.identifier.epage | 1974 | en_HK |
dc.identifier.isi | WOS:000082570900034 | - |
dc.publisher.place | United States | en_HK |
dc.identifier.scopusauthorid | Chau, HF=7005742276 | en_HK |
dc.identifier.issnl | 1050-2947 | - |