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Entanglement-assisted quantum low-density parity-check codes

Yuichiro Fujiwara, David Clarck, Peter Vandendriessche UGent, Maarten De Boeck UGent and Vladimir D Tonchev (2010) PHYSICAL REVIEW A. 82(4).
abstract
This article develops a general method for constructing entanglement-assisted quantum low-density parity-check (LDPC) codes, which is based on combinatorial design theory. Explicit constructions are given for entanglement-assisted quantum error-correcting codes with many desirable properties. These properties include the requirement of only one initial entanglement bit, high error-correction performance, high rates, and low decoding complexity. The proposed method produces several infinite families of codes with a wide variety of parameters and entanglement requirements. Our framework encompasses the previously known entanglement-assisted quantum LDPC codes having the best error-correction performance and many other codes with better block error rates in simulations over the depolarizing channel. We also determine important parameters of several well-known classes of quantum and classical LDPC codes for previously unsettled cases.
Please use this url to cite or link to this publication:
author
organization
year
type
journalArticle (original)
publication status
published
subject
keyword
MATRICES, CONSTRUCTION, STEINER TRIPLE-SYSTEMS, ERROR-CORRECTING CODES, INCOMPLETE BLOCK-DESIGNS, CAPACITY, LDPC CODES, FINITE GEOMETRIES, 2-DESIGNS
journal title
PHYSICAL REVIEW A
Phys. Rev. A
volume
82
issue
4
article number
042338
pages
19 pages
Web of Science type
Article
Web of Science id
000283644800006
JCR category
OPTICS
JCR impact factor
2.861 (2010)
JCR rank
9/77 (2010)
JCR quartile
1 (2010)
ISSN
1050-2947
DOI
10.1103/PhysRevA.82.042338
language
English
UGent publication?
yes
classification
A1
copyright statement
I have transferred the copyright for this publication to the publisher
id
1969422
handle
http://hdl.handle.net/1854/LU-1969422
date created
2011-12-19 03:36:38
date last changed
2016-12-21 15:41:25
@article{1969422,
  abstract     = {This article develops a general method for constructing entanglement-assisted quantum low-density parity-check (LDPC) codes, which is based on combinatorial design theory. Explicit constructions are given for entanglement-assisted quantum error-correcting codes with many desirable properties. These properties include the requirement of only one initial entanglement bit, high error-correction performance, high rates, and low decoding complexity. The proposed method produces several infinite families of codes with a wide variety of parameters and entanglement requirements. Our framework encompasses the previously known entanglement-assisted quantum LDPC codes having the best error-correction performance and many other codes with better block error rates in simulations over the depolarizing channel. We also determine important parameters of several well-known classes of quantum and classical LDPC codes for previously unsettled cases.},
  articleno    = {042338},
  author       = {Fujiwara, Yuichiro and Clarck, David and Vandendriessche, Peter and De Boeck, Maarten and Tonchev, Vladimir D},
  issn         = {1050-2947},
  journal      = {PHYSICAL REVIEW A},
  keyword      = {MATRICES,CONSTRUCTION,STEINER TRIPLE-SYSTEMS,ERROR-CORRECTING CODES,INCOMPLETE BLOCK-DESIGNS,CAPACITY,LDPC CODES,FINITE GEOMETRIES,2-DESIGNS},
  language     = {eng},
  number       = {4},
  pages        = {19},
  title        = {Entanglement-assisted quantum low-density parity-check codes},
  url          = {http://dx.doi.org/10.1103/PhysRevA.82.042338},
  volume       = {82},
  year         = {2010},
}

Chicago
Fujiwara, Yuichiro, David Clarck, Peter Vandendriessche, Maarten De Boeck, and Vladimir D Tonchev. 2010. “Entanglement-assisted Quantum Low-density Parity-check Codes.” Physical Review A 82 (4).
APA
Fujiwara, Y., Clarck, D., Vandendriessche, P., De Boeck, M., & Tonchev, V. D. (2010). Entanglement-assisted quantum low-density parity-check codes. PHYSICAL REVIEW A, 82(4).
Vancouver
1.
Fujiwara Y, Clarck D, Vandendriessche P, De Boeck M, Tonchev VD. Entanglement-assisted quantum low-density parity-check codes. PHYSICAL REVIEW A. 2010;82(4).
MLA
Fujiwara, Yuichiro, David Clarck, Peter Vandendriessche, et al. “Entanglement-assisted Quantum Low-density Parity-check Codes.” PHYSICAL REVIEW A 82.4 (2010): n. pag. Print.