In quantum information theory, the classical capacity of a quantum channel is the maximum rate at which classical data can be sent over it error-free in the limit of many uses of the channel. Holevo, Schumacher, and Westmoreland proved the following least upper bound on the classical capacity of any quantum channel : where is a classical-quantum state of the following form: is a probability distribution, and each is a density operator that can be input to the channel .
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