Morse and Baudot meet Nyquist

His early theoretical work on determining the bandwidth requirements for transmitting information laid the foundations for later advances by Claude Shannon, which led to the development of information theory. In particular, Nyquist determined that the number of independent pulses that could be put through a telegraph channel per unit time is limited to twice the bandwidth of the channel, and published his results in the paper Certain topics in Telegraph Transmission Theory (1924).[3] This rule is essentially a dual of what is now known as the Nyquist–Shannon sampling theorem. Wiki

The optimum sampler should have a quantum formulation. The maximum amount of inventory is limited to twice the delivery size.