1106.3089 (Nilanjana Datta et al.)

Strong converse capacities of quantum channels for classical information    [PDF]

Nilanjana Datta, Milan Mosonyi, Min-Hsiu Hsieh, Fernando G. S. L. Brandao

We obtain lower and upper bounds on the one-shot strong converse capacity for the transmission of classical information through quantum channels, in terms of a generalized relative entropy quantity, namely, the smoothed max-relative entropy. For the case of a memoryless channel, these bounds converge independently to the Holevo capacity, in the limit of asymptotically many uses. We also employ our one-shot result to obtain an upper bound to the strong converse capacity of a channel with long-term memory which can be shown to violate the strong converse property.

View original: http://arxiv.org/abs/1106.3089