Bounding the forward classical capacity of bipartite quantum channels

• URL: http://arxiv.org/abs/2010.01058v3
• Date: Fri, 6 Jan 2023 10:15:44 GMT
• Title: Bounding the forward classical capacity of bipartite quantum channels
• Authors: Dawei Ding, Sumeet Khatri, Yihui Quek, Peter W. Shor, Xin Wang, Mark M. Wilde
• Abstract summary: 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.
• Score: 12.903847542910807
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• Abstract: 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.

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