Estimation of classical and quantum entropy and other information-theoretic quantities

Alexei Kaltchenko

doi:10.1117/12.778046

24 March 2008 Estimation of classical and quantum entropy and other information-theoretic quantities

Alexei Kaltchenko

Proceedings Volume 6976, Quantum Information and Computation VI; 69760L (2008) https://doi.org/10.1117/12.778046
Event: SPIE Defense and Security Symposium, 2008, Orlando, Florida, United States

Abstract

In this work, we study methods of entropy and relative entropy estimation for classical and quantum information sources. We show that algorithms and methods for classical entropy estimation can be effectively used in constructing algorithms for quantum entropy estimation. Specifically, we look at the entropy estimation for a broad class of stationary ergodic processes and obtain important bounds on estimator's variance and mathematical expectation as well as analyze their asymptotic behavior.

Citation Download Citation

Alexei Kaltchenko "Estimation of classical and quantum entropy and other information-theoretic quantities", Proc. SPIE 6976, Quantum Information and Computation VI, 69760L (24 March 2008); https://doi.org/10.1117/12.778046

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