Title :
Topological color codes over higher alphabet
Author :
Sarvepalli, Pradeep
Author_Institution :
Dept. of Phys. & Astron., Univ. of British Columbia, Vancouver, BC, Canada
fDate :
Aug. 30 2010-Sept. 3 2010
Abstract :
Color codes are a class of topological codes that have come into prominence in the recent years. Like the surface codes the codespace defined by them can be associated to the degenerate ground state of a local Hamiltonian. In addition they can be designed to have an extended set of transversal encoded gates (compared to surface codes) increasing their appeal for fault tolerant quantum computation. In this paper we generalize the color codes to arbitrary prime power alphabet. We show that in the 2D case there exist color codes for which the nonbinary Clifford group can be implemented transversally.
Keywords :
codes; fault tolerance; quantum communication; fault tolerant quantum computation; ground state; higher alphabet; local Hamiltonian; nonbinary Clifford group; surface codes; topological color codes; transversal encoded gates; Color; Equations; Fault tolerance; Fault tolerant systems; Generators; Logic gates; Quantum computing;
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
DOI :
10.1109/CIG.2010.5592860
