The Holevo capacity of a quantum channel is the supremum of its Holevo information over finite ensembles of input states. Using entropy in bits, it is
where
and
. The unassisted classical capacity of a
memoryless channel is the regularized quantity
. Input states
in an
-use
ensemble may be entangled across uses, so equality
requires an additivity argument. A noiseless
-dimensional channel has Holevo capacity
.