Average mutual information of the random block-message ensembles for many-letters
Hao San-Ru (郝三如)ab, Hou Bo-Yu (侯伯宇)a
a Institute of Modern Physics, Northwest University, Xi'an 710069, China; b Department of Computer Teaching, Hunan Normal University, Changsha 410081, China
Abstract By making use of the theoretical framework presented by Bostroem (K. J. Bostroem, LANL quant-ph/0009052), we generalize the standard quantum information theory of block messages with fixed block length to the variable one. We show that the states belonging to a sufficiently large Hilbert space are the highly distinguishable states. We also consider the collection states (product states of more than one qubit state) and seek a "pretty good measurement"(PGM) with measurement vectors to improve the mutual information. The average mutual information over random block-message ensembles with variable block length n is discussed in detail.
Received: 15 September 2001
Revised: 14 January 2002
Accepted manuscript online:
Fund: Project supported in part by the National Natural Science Foundation of China (Grant No 19975036), and the Foundation of the Science and Technology Committee of Hunan Province, China (Grant No 21000205).
Cite this article:
Hao San-Ru (郝三如), Hou Bo-Yu (侯伯宇) Average mutual information of the random block-message ensembles for many-letters 2002 Chinese Physics 11 450
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