The strong converse theorem for the product-state capacity of quantum channels with ergodic Markovian memory

Dorlas, T. C. and Morgan, Ciara (2016) The strong converse theorem for the product-state capacity of quantum channels with ergodic Markovian memory. (Preprint)

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Abstract

Establishing the strong converse theorem for a communication channel confirms that the capacity of that channel, that is, the maximum achievable rate of reliable information communication, is the ultimate limit of communication over that channel. Indeed, the strong converse theorem for a channel states that coding at a rate above the capacity of the channel results in the convergence of the error to its maximum value 1 and that there is no trade-off between communication rate and decoding error. Here we prove that the strong converse theorem holds for the product-state capacity of quantum channels with ergodic Markovian correlated memory.

Item Type: Article
Divisions: School of Theoretical Physics > Preprints
Date Deposited: 19 Jun 2018 13:49
Last Modified: 12 Jul 2018 10:50
URI: http://dair.dias.ie/id/eprint/543

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