Physics – Quantum Physics
Scientific paper
2008-11-27
Physics
Quantum Physics
45 pages, no figures. Section 6.2 rewritten due to an error in equation (72) of the old version. Added table of contents, adde
Scientific paper
We determine the optimal rates of universal quantum codes for entanglement transmission and generation under channel uncertainty. In the simplest scenario the sender and receiver are provided merely with the information that the channel they use belongs to a given set of channels, so that they are forced to use quantum codes that are reliable for the whole set of channels. This is precisely the quantum analog of the compound channel coding problem. We determine the entanglement transmission and entanglement-generating capacities of compound quantum channels and show that they are equal. Moreover, we investigate two variants of that basic scenario, namely the cases of informed decoder or informed encoder, and derive corresponding capacity results.
Bjelakovic Igor
Boche Holger
Noetzel Janis
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