期刊
IEEE TRANSACTIONS ON INFORMATION THEORY
卷 57, 期 11, 页码 7377-7385出版社
IEEE-INST ELECTRICAL ELECTRONICS ENGINEERS INC
DOI: 10.1109/TIT.2011.2162226
关键词
Channel coding; information reconciliation; privacy amplification; quantum information; Slepian-Wolf coding; smooth entropies
资金
- CASED
- Swiss National Science Foundation [200021-119868]
- ERC [258932]
- European Research Council (ERC) [258932] Funding Source: European Research Council (ERC)
- Swiss National Science Foundation (SNF) [200021-119868] Funding Source: Swiss National Science Foundation (SNF)
We show that optimal protocols for noisy channel coding of public or private information over either classical or quantum channels can be directly constructed from two more primitive information-theoretic protocols: privacy amplification and information reconciliation, also known as data compression with side information. We do this in the one-shot scenario of structureless resources, and formulate our results in terms of the smooth min- and max-entropy. In the context of classical information theory, this shows that essentially all two-terminal protocols can be reduced to these two primitives, which are in turn governed by the smooth min- and max-entropies, respectively. In the context of quantum information theory, the recently-established duality of these two protocols means essentially all two-terminal protocols can be constructed using just a single primitive. As an illustration, we show how optimal noisy channel coding protocols can be constructed solely from privacy amplification.
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