Title :
Construction of topological quantum codes on compact surfaces
Author :
de Albuquerque, Clarice Dias ; Palazzo, Reginaldo ; Silva, Eduardo Brandani da
Author_Institution :
Dept. de Telematica, Univ. Estadual de Campinas, Sao Paulo
Abstract :
In this paper we construct a class of topological quantum error-correcting codes on compact surfaces with genus g ges 2. This generalizes the construction process of toric codes. As examples, we tabulate some good topological quantum codes on surfaces with genus 2 and 3.
Keywords :
error correction codes; compact surfaces; topological quantum codes; topological quantum error-correcting codes; toric code construction process; Constellation diagram; Degradation; Digital modulation; Eigenvalues and eigenfunctions; Error correction codes; Hilbert space; Parity check codes; Quantum computing; Tensile stress; Topology;
Conference_Titel :
Information Theory Workshop, 2008. ITW '08. IEEE
Conference_Location :
Porto
Print_ISBN :
978-1-4244-2269-2
Electronic_ISBN :
978-1-4244-2271-5
DOI :
10.1109/ITW.2008.4578693
