Bounding the forward classical capacity of bipartite quantum channels

Bounding the forward classical capacity of bipartite quantum channels

Seminar author:Mark Wilde

Event date and time:02/18/2021 04:00:pm

Event location:https://us02web.zoom.us/j/87196633701?pwd=a1NhbUdhREdBSjlLQUxpN1oxc1N5Zz09

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We introduce various measures of forward classical communication for bipartite quantum channels. Since a point-to-point channel is a special case of a bipartite channel, the measures reduce to measures of classical communication for point-to-point channels. As it turns out, these reduced measures have been reported in prior work of Wang et al. on bounding the classical capacity of a quantum channel. As applications, we show that the measures are upper bounds on the forward classical capacity of a bipartite channel. The reduced measures are upper bounds on the classical capacity of a point-to-point quantum channel assisted by a classical feedback channel. Some of the various measures can be computed by semi-definite programming.

Joint work with Dawei Ding, Sumeet Khatri, Yihui Quek, Peter W. Shor, Xin Wang and available at https://arxiv.org/abs/2010.01058