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University of Cambridge > Talks.cam > Isaac Newton Institute Seminar Series > Compression of correlated quantum-classical sources, or: the price of ignorance

## Compression of correlated quantum-classical sources, or: the price of ignoranceAdd to your list(s) Download to your calendar using vCal - Zahra Baghali Khanian (Universitat Autònoma de Barcelona)
- Monday 23 July 2018, 16:45-17:30
- Seminar Room 1, Newton Institute.
If you have a question about this talk, please contact info@newton.ac.uk. MQIW05 - Beyond I.I.D. in information theory We resume the investigation of the problem of independent local compression of correlated quantum sources, the classical case of which is covered by the celebrated Slepian-Wolf theorem. We focus specifically on quantum-classical (qc) sources, for which one point of the rate region was previously determined by Devetak and Winter. Whereas the Devetak- Winter point attains a rate-sum equal to the von Neumann entropy of the joint source, here we show that the full rate region is much more complex due to the quantum nature of one of the sources. In particular, we determine the full rate region in the generic case, showing that all other points in the achievable region have a rate sum strictly larger than the joint entropy. We can interpret the difference as the price paid for the quantum encoder being ignorant of the classical side information. In the general case, we give an achievable rate region, via protocols that are built on the decoupling principle, state merging and state redistribution. It is matched almost by a single-letter, but still asymptotic, converse. This talk is part of the Isaac Newton Institute Seminar Series series. ## This talk is included in these lists:- All CMS events
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