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Tema Con Variazioni: Quantum Channel Capacity
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Channel capacity describes the size of the nearly ideal channels, which can be obtained from many uses of a given channel, using an optimal error correcting code. In this paper we collect and compare minor and major variations in the mathematically precise statements of this idea which have been put forward in the literature. We show that all the variations considered lead to equivalent capacity definitions. In particular, it makes no difference whether one requires mean or maximal errors to go to zero, and it makes no difference whether errors are required to vanish for any sequence of block sizes compatible with the rate, or only for one infinite sequence.
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Cited by 1 Pith paper
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Sharp Quantum Capacity Thresholds: Exponential Strong Converses for Degradable and Antidegradable Channels
Every finite-dimensional degradable or antidegradable quantum channel has an exponential strong converse: above capacity, all coding schemes have fidelity decaying exponentially in the number of channel uses.
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