Capacity of a noisy quantum channel

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  • 28 September 1996
Abstract
We analyze a quantum channel for information transmission and storage. In analogy to classical channels, we propose to define the quantum channel capacity as the maximum rate of mutual entanglement processed by the channel (for the transmission and storage of quantum entanglement), which reduces to the maximum mutual information processed by the channel for the transmission of classical data. The entanglement processed by the channel observes a data-processing inequality, and we derive a quantum Fano-inequality relating the loss of the channel to the fidelity of the quantum code. The latter establishes the link between quantum error-correction and the transfer of entanglement. The mutual entanglement and the capacity are calculated explicitly for the quantum ``depolarizing'' channel.

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