TY - JOUR
AB - We study entanglement-assisted quantum and classical communication over a single use of a quantum channel, which itself can correspond to a finite number of uses of a channel with arbitrarily correlated noise. We obtain characterizations of the corresponding one-shot capacities by establishing upper and lower bounds on them in terms of the difference of two smoothed entropic quantities. In the case of a memoryless channel, the upper and lower bounds converge to the known single-letter formulas for the corresponding capacities, in the limit of asymptotically many uses of it. Our results imply that the difference of two smoothed entropic quantities characterizing the one-shot entanglement-assisted capacities serves as a one-shot analog of the mutual information, since it reduces to the mutual information, between the output of the channel and a system purifying its input, in the asymptotic, memoryless scenario. © 1963-2012 IEEE.
AU - Datta, N
AU - Hsieh, MH
DA - 2013/02/20
DO - 10.1109/TIT.2012.2228737
EP - 1939
JO - IEEE Transactions on Information Theory
PY - 2013/02/20
SP - 1929
TI - One-shot entanglement-assisted quantum and classical communication
VL - 59
Y1 - 2013/02/20
Y2 - 2020/02/18
ER -