Alexander S. Holevo’s researches in quantum information theory in 20th century

Author:

Hayashi Masahito123ORCID

Affiliation:

1. School of Data Science, The Chinese University of Hong Kong, Shenzhen, Longgang District, Shenzhen 518172, P. R. China

2. International Quantum Academy (SIQA), Futian District, Shenzhen 518048, P. R. China

3. Graduate School of Mathematics, Nagoya University, Chikusa-ku, Nagoya 464-8602, Japan

Abstract

This paper reviews Holevo’s contributions to quantum information theory during the 20 century. At that time, he mainly studied three topics, classical-quantum channel coding, quantum estimation with Craméro–Rao approach and quantum estimation with the group covariant approach. This paper addresses these three topics.

Funder

National Natural Science Foundation of China

Publisher

World Scientific Pub Co Pte Ltd

Reference65 articles.

1. A. S. Holevo , Probabilistic and Statistical Aspects of Quantum Theory, Translated from the Russian by the author, North-Holland Series in Statistics and Probability, Vol. 1 (North-Holland Publishing Co., Amsterdam, 1982), p. xii+312.

2. Classical information capacity of a quantum channel

3. Quantum Communication, Computing, and Measurement

4. The capacity of the quantum channel with general signal states

5. Problems in the mathematical theory of quantum communication channels

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