Elements of information theory
Elements of information theory
Information Theory: Coding Theorems for Discrete Memoryless Systems
Information Theory: Coding Theorems for Discrete Memoryless Systems
The capacity of the quantum channel with general signal states
IEEE Transactions on Information Theory
Coding theorem and strong converse for quantum channels
IEEE Transactions on Information Theory
Strong converse for identification via quantum channels
IEEE Transactions on Information Theory
Entanglement-assisted capacity of a quantum channel and the reverse Shannon theorem
IEEE Transactions on Information Theory
Distilling common randomness from bipartite quantum states
IEEE Transactions on Information Theory
Remote preparation of quantum states
IEEE Transactions on Information Theory
Optimal quantum source coding with quantum side information at the encoder and decoder
IEEE Transactions on Information Theory
| Hi-index | 754.90 |
We study and solve the problem of classical channel simulation with quantum side information at the receiver. This is a generalization of both the classical reverse Shannon theorem, and the classical-quantum Slepian-Wolf problem. The optimal noiseless communication rate is found to be reduced from the mutual information between the channel input and output by the Holevo information between the channel output and the quantum side information. Our main theorem has two important corollaries. The first is a quantum generalization of theWyner-Ziv problem: ratedistortion theory with quantum side information. The second is an alternative proof of the tradeoff between classical communication and common randomness distilled from a quantum state. The fully quantum generalization of the problem considered is quantum state redistribution. Here the sender and receiver share a mixed quantum state and the sender wants to transfer part of her state to the receiver using entanglement and quantum communication. We present outer and inner bounds on the achievable rate pairs.