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      A Correlation Measure Based on Vector-Valued Lp -Norms

      , Article IEEE Transactions on Information Theory ; Volume 65, Issue 12 , 2019 , Pages 7985-8004 ; 00189448 (ISSN) Mojahedian, M. M ; Beigi, S ; Gohari, A ; Yassaee, M. H ; Aref, M. R ; Sharif University of Technology
      Institute of Electrical and Electronics Engineers Inc  2019
      Abstract
      In this paper, we introduce a new measure of correlation for bipartite quantum states. This measure depends on a parameter α , and is defined in terms of vector-valued Lp -norms. The measure is within a constant of the exponential of α -Rényi mutual information, and reduces to the trace norm (total variation distance) for α =1. We will prove some decoupling type theorems in terms of this measure of correlation, and present some applications in privacy amplification as well as in bounding the random coding exponents. In particular, we establish a bound on the secrecy exponent of the wiretap channel (under the total variation metric) in terms of the α -Rényi mutual information according to... 

      A correlation measure based on vector-valued Lp norms

      , Article 2019 IEEE International Symposium on Information Theory, ISIT 2019, 7 July 2019 through 12 July 2019 ; Volume 2019-July , 2019 , Pages 1132-1136 ; 21578095 (ISSN); 9781538692912 (ISBN) Mojahedian, M. M ; Beigi, S ; Gohari, A ; Yassaee, M. H ; Aref, M. R ; Sharif University of Technology
      Institute of Electrical and Electronics Engineers Inc  2019
      Abstract
      In this paper, a new measure of correlation is introduced. This measure depends on a parameter α, and is defined in terms of vector-valued Lp norms. The measure is within a constant of the exponential of α-Rényi mutual information, and reduces to the trace norm (total variation distance) for α = 1. We provide some properties and applications of this measure of correlation. In particular, we establish a bound on the secrecy exponent of the wiretap channel (under the total variation metric) in terms of the α-Rényi mutual information according to Csiszár's proposal. © 2019 IEEE  
    Total 2 records