Title :
Quantum Codes From Toric Surfaces
Author :
Hansen, Jeffery P.
Author_Institution :
Dept. of Math., Aarhus Univ., Aarhus, Denmark
Abstract :
A theory for constructing quantum error correcting codes from Toric surfaces by the Calderbank-Shor-Steane method is presented. In particular, we study the method on toric Hirzebruch surfaces. The results are obtained by constructing a dualizing differential form for the toric surface and by using the cohomology and the intersection theory of toric varieties.
Keywords :
error correction codes; Calderbank-Shor-Steane method; cohomology; dualizing differential form; intersection theory; quantum code; quantum error correcting code; toric Hirzebruch surface; toric surface; toric variety; Error correction codes; Face; Frequency modulation; Lattices; Linear code; Materials; Quantum mechanics; Block codes; codes; error correction codes; quantum computing;
Journal_Title :
Information Theory, IEEE Transactions on
DOI :
10.1109/TIT.2012.2220523
