Zero-error subspaces of quantum channels

TY - CONF

T1 - Zero-error subspaces of quantum channels

AU - Patra, Manas Kumar

AU - Braunstein, Sam

PY - 2011/8/5

Y1 - 2011/8/5

N2 - 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.

AB - 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.

UR - http://www.scopus.com/inward/record.url?scp=80054817382&partnerID=8YFLogxK

U2 - 10.1109/ISIT.2011.6033690

DO - 10.1109/ISIT.2011.6033690

M3 - Paper

SP - 104

EP - 108

T2 - ISIT 2011 - IEEE International Symposium on Information Theory Proceedings

Y2 - 31 July 2011 through 5 August 2011

ER -