Document Type
Article
Publication Date
10-29-2010
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.
Publication Title
Physical Review A
Recommended Citation
Fujiwara, Y.,
Clark, D. C.,
Vandendriessche, P.,
De Boeck, M.,
&
Tonchev, V.
(2010).
Entanglement-assisted quantum low-density parity-check codes.
Physical Review A,
82(4), 042338-1-042338-19.
http://doi.org/10.1103/PhysRevA.82.042338
Retrieved from: https://digitalcommons.mtu.edu/math-fp/102
Version
Publisher's PDF
Publisher's Statement
©2010 American Physical Society. Publisher’s version of record: https://doi.org/10.1103/PhysRevA.82.042338