We present some of the peculiar dynamics of two simple sans-entanglement quantum communication channels in a digestible form. Specifically, we contrast the classical gaussian additive channel to its quantum analogue and find that the quantum version features a capacity with interesting time dependence and counterintuitive effects of quantization. We also consider a simple two-level system and comment on the time dependence of its capacity.
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Miller-Dickson et al. (2024) studied this question.
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