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We consider a setting where qubits are processed sequentially, and derivefundamental limits on the rate at which classical information can betransmitted using quantum states that decohere in time. Specifically, we modelthe sequential processing of qubits using a single server queue, and deriveexplicit expressions for the capacity of such a `queue-channel.' We alsodemonstrate a sweet-spot phenomenon with respect to the arrival rate to thequeue, i.e., we show that there exists a value of the arrival rate of thequbits at which the rate of information transmission (in bits/sec) through thequeue-channel is maximized. Next, we consider a setting where the average rateof processing qubits is fixed, and show that the capacity of the queue-channelis maximized when the processing time is deterministic. We also discuss designimplications of these results on quantum information processing systems.

Qubits through Queues: The Capacity of Channels with Waiting Time Dependent Errors