Title :
Zero-error subspaces of quantum channels
Author :
Braunstein, Samuel L. ; Kribs, David W. ; Patra, Manas K.
Author_Institution :
Dept. of Comput. Sci., Univ. of York, York, UK
fDate :
July 31 2011-Aug. 5 2011
Abstract :
This work deals with zero-error subspaces of quantum channels and their intimate connection with quantum and classical codes. We give operator algebraic characterizations of such subspaces and give some upper and lower bounds on their maximum dimension. Classical and quantum codes and (quantum) noiseless subsystems may be considered as special cases of zero-error subspaces. We explore several consequences of this fact.
Keywords :
algebraic codes; channel coding; quantum communication; classical code; lower bounds; noiseless subsystem; quantum channel; quantum code; subspace algebraic characterization; upper bounds; zero-error subspace; Algebra; Iron; Microwave integrated circuits;
Conference_Titel :
Information Theory Proceedings (ISIT), 2011 IEEE International Symposium on
Conference_Location :
St. Petersburg
Print_ISBN :
978-1-4577-0596-0
Electronic_ISBN :
2157-8095
DOI :
10.1109/ISIT.2011.6033690