期刊
IEEE TRANSACTIONS ON INFORMATION THEORY
卷 55, 期 12, 页码 5840-5847出版社
IEEE-INST ELECTRICAL ELECTRONICS ENGINEERS INC
DOI: 10.1109/TIT.2009.2032797
关键词
Asymptotic equipartition property; quantum information; Renyi entropies; smooth entropies; von Neumann entropy
资金
- Swiss National Science Foundation [200021-119868]
The classical asymptotic equipartition property is the statement that, in the limit of a large number of identical repetitions of a random experiment, the output sequence is virtually certain to come from the typical set, each member of which is almost equally likely. In this paper, a fully quantum generalization of this property is shown, where both the output of the experiment and side information are quantum. An explicit bound on the convergence is given, which is independent of the dimensionality of the side information. This naturally leads to a family of Renyi-like quantum conditional entropies, for which the von Neumann entropy emerges as a special case.
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