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Classical capacity : ウィキペディア英語版
Classical capacity
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 lower bound on the classical capacity of any quantum channel \mathcal:
:
\chi(\mathcal) = \max_(\rho)}

where \rho^ is a classical-quantum state of the following form:
:
\rho^ = \sum_x p_X(x) \vert x \rangle \langle x \vert^X \otimes \rho_x^A ,

p_X(x) is a probability distribution, and each \rho_x^A is a density operator that can be input to the channel \mathcal.
== Achievability using sequential decoding ==

We briefly review the HSW coding theorem (the
statement of the achievability of the Holevo information rate I(X;B) for
communicating classical data over a quantum channel). We first review the
minimal amount of quantum mechanics needed for the theorem. We then cover
quantum typicality, and finally we prove the theorem using a recent sequential
decoding technique.

抄文引用元・出典: フリー百科事典『 ウィキペディア(Wikipedia)
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