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| Content Provider | IEEE Xplore Digital Library |
|---|---|
| Author | Zhicheng Luo Devetak, I. |
| Copyright Year | 1963 |
| Abstract | 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 the Wyner-Ziv problem: rate-distortion 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. |
| Sponsorship | IEEE Information Theory Society |
| Starting Page | 1331 |
| Ending Page | 1342 |
| Page Count | 12 |
| File Size | 397051 |
| File Format | |
| ISSN | 00189448 |
| Volume Number | 55 |
| Issue Number | 3 |
| Language | English |
| Publisher | Institute of Electrical and Electronics Engineers, Inc. (IEEE) |
| Publisher Date | 2009-03-01 |
| Publisher Place | U.S.A. |
| Access Restriction | One Nation One Subscription (ONOS) |
| Rights Holder | Institute of Electrical and Electronics Engineers, Inc. (IEEE) |
| Subject Keyword | Quantum mechanics Rate-distortion Quantum entanglement Protocols Noise reduction Mutual information Data compression Probability distribution Entropy Engineering profession rate-distortion theory Channel simulation common randomness distillation quantum state redistribution |
| Content Type | Text |
| Resource Type | Article |
| Subject | Library and Information Sciences Information Systems Computer Science Applications |
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