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9 - Dynamic Classical Information

from Part III - Dynamic Information

Published online by Cambridge University Press:  aN Invalid Date NaN

Osvaldo Simeone
Affiliation:
Northeastern University London
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Summary

This chapter explores how state evolution impacts uncertainty in classical systems using majorization and related principles.

Information

Type
Chapter
Information
Classical and Quantum Information Theory
Uncertainty, Information, and Correlation
, pp. 371 - 397
Publisher: Cambridge University Press
Print publication year: 2026

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References

Nielsen, M. and Vidal, G., “Majorization and the interconversion of bipartite states,” Quantum Information & Computation, vol. 1, no. 1, pp. 76–93, 2001.CrossRefGoogle Scholar
Olkin, I. and Marshall, A., Inequalities: Theory of Majorization and Its Applications. New York: Academic Press, 2016.Google Scholar
Boyd, S. and Vandenberghe, L., Convex Optimization. Cambridge: Cambridge University Press, 2004.CrossRefGoogle Scholar
Polyanskiy, Y. and Wu, Y., Information Theory: From Coding to Learning. Cambridge: Cambridge University Press, 2024.CrossRefGoogle Scholar
Gour, G. and Tomamichel, M., “Entropy and relative entropy from information-theoretic principles,” IEEE Transactions on Information Theory, vol. 67, no. 10, pp. 6313–6327, 2021.CrossRefGoogle Scholar
Brandsen, S., Geng, I. J., and Gour, G., “What is entropy? A perspective from games of chance,” Physical Review E, vol. 105, no. 2, art. 024117, 2022.CrossRefGoogle ScholarPubMed

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