Title :
On the relation between the Shannon entropy and the von Neumann entropy
Author :
Ho, Siu-Wai ; Yeung, Raymond W.
Author_Institution :
Dept. of Inf. Eng., Chinese Univ. of Hong Kong, Shatin, China
fDate :
27 June-2 July 2004
Abstract :
This paper presents three approaches to explore the relation between the Shannon entropy and the von Neumann entropy. The first two approaches are based on the measurement of the quantum state, while the third approach is based on the preparation of the quantum state. Each of these approaches leads to an alternative definition of the von Neumann entropy.
Keywords :
eigenvalues and eigenfunctions; entropy; quantum communication; Shannon entropy; classical-quantum information theory; quantum state measurement; von Neumann entropy; Density measurement; Entropy; Information theory; Particle measurements; Probability distribution; Quantum mechanics;
Conference_Titel :
Information Theory, 2004. ISIT 2004. Proceedings. International Symposium on
Print_ISBN :
0-7803-8280-3
DOI :
10.1109/ISIT.2004.1365079