Classical information theory

Κρινάκης, Αθανάσιος-Μηνάς Δ., Κρινάκης, Αθανάσιος-Μηνάς Δ.

Lajos Diósi

Ye Ming

Shannon’s noisy channel coding theorem is a cornerstone in the history of classical information theory. A proof of Shannon’s noisy channel coding theorem using quantum notations is presented, which sets up a bridge between classical information theory and the developing quantum information theory.

Eduardo Jose Bayro-Corrochano

Jacek Syska

The classical statistics indication for the impossibility to derive quantum mechanics from classical mechanics is proved. The formalism of the statistical Fisher information is used. Next the Fisher information as a tool of the construction of a self-consistent field theory, which joins the quantum theory and classical field theory, is proposed.

Charles H. Bennett

An expanded theory of information transmission and processing has emerged over the past few years, encompassing the processing and transmission of intact quantum states, the interaction of quantum and classical information, the quantitative theory of entanglement, and the use of quantum information processing to speed up certain classical computations. We review this field, concentrating on the parallels with and differences from classical information theory, which is now best seen as a part of the new theory.