中国物理B ›› 2002, Vol. 11 ›› Issue (5): 450-455.doi: 10.1088/1009-1963/11/5/308

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Average mutual information of the random block-message ensembles for many-letters

侯伯宇1, 郝三如2   

  1. (1)Institute of Modern Physics, Northwest University, Xi'an 710069, China; (2)Institute of Modern Physics, Northwest University, Xi'an 710069, China; Department of Computer Teaching, Hunan Normal University, Changsha 410081, China
  • 收稿日期:2001-09-15 修回日期:2002-01-14 出版日期:2002-05-13 发布日期:2005-06-13
  • 基金资助:
    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).

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   

  1. a Institute of Modern Physics, Northwest University, Xi'an 710069, China; b Department of Computer Teaching, Hunan Normal University, Changsha 410081, China
  • Received:2001-09-15 Revised:2002-01-14 Online:2002-05-13 Published:2005-06-13
  • Supported by:
    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).

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摘要： 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.

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.

Key words: mutual information, random block message, many-letter ensemble

中图分类号:  (Quantum mechanics)

  • 03.65.-w
03.67.-a (Quantum information)