Quantum Coding Theorems for Arbitrary Sources, Channels and Entanglement Resources

摘要

The information spectrum approach gives general formulae for optimal rates ofvarious information theoretic protocols, under minimal assumptions on thenature of the sources, channels and entanglement resources involved. This paperculminates in the derivation of the dense coding capacity for a noiselessquantum channel, assisted by arbitrary shared entanglement, using thisapproach. We also review the currently known coding theorems, and theirconverses, for protocols such as data compression for arbitrary quantum sourcesand transmission of classical information through arbitrary quantum channels.In addition, we derive the optimal rate of data compression for a mixed source