# Coding Theorems of Classical and Quantum Information Theory: Second Edition

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*K. R. Parthasarathy*

A publication of Hindustan Book Agency

The aim of this little book is to convey three principal developments in the
evolution of modern information theory: Shannon's initiation of a revolution in
1948 by his interpretation of the Boltzmann entropy as a measure of information
yielded by an elementary statistical experiment and basic coding theorems on
storage and optimal transmission of messages through noisy communication
channels; the influence of ergodic theory in the enlargement of the scope of
Shannon's theorems through the works of McMillan, Feinstein, Wolfowitz, Breiman,
and others, and its impact on the appearance of the Kolmogorov-Sinai invariant
for elementary dynamical systems; and finally, the more recent work of
Schumacher, Holevo, Winter, and others on the role of von Neumann entropy in the
quantum avatar of the basic coding theorems when messages are encoded as
quantum states, transmitted through noisy quantum channels and retrieved by
generalized measurements.

This revised second edition has a chapter devoted to quantum error
correction theory that shows how information in the form of quantum states can
be made to tunnel through a noisy environment.

A publication of Hindustan Book Agency; distributed within the Americas by the American Mathematical Society. Maximum discount of 20% for all commercial channels.

#### Readership

Graduate students and research mathematicians interested in modern information theory.