DocumentCode
2440253
Title
Quantum erasure-correcting codes and percolation on regular tilings of the hyperbolic plane
Author
Delfosse, Nicolas ; Zémor, Gilles
Author_Institution
Inst. de Math. de Bordeaux, Univ. Bordeaux 1, Talence, France
fYear
2010
fDate
Aug. 30 2010-Sept. 3 2010
Firstpage
1
Lastpage
5
Abstract
We are interested in percolation for a family of self-dual tilings of the hyperbolic plane. We achieve an upper bound on the critical probability for these tilings by taking appropriate finite quotients and associating them with a family of quantum CSS codes. We then relate the probability of percolation to the probability of a decoding error for these codes on the quantum erasure channel.
Keywords
error correction codes; quantum communication; critical probability; decoding error; hyperbolic plane; percolation; quantum erasure channel; quantum erasure-correcting codes; self-dual tilings; Construction industry; Decoding; Error probability; Lattices; Linear code; Upper bound;
fLanguage
English
Publisher
ieee
Conference_Titel
Information Theory Workshop (ITW), 2010 IEEE
Conference_Location
Dublin
Print_ISBN
978-1-4244-8262-7
Electronic_ISBN
978-1-4244-8263-4
Type
conf
DOI
10.1109/CIG.2010.5592863
Filename
5592863
Link To Document