TL;DR
This paper introduces a quantum version of classical message ensembles using harmonic analysis on free groups, extending information theory into the quantum domain.
Contribution
It develops the mathematical framework for quantum message space, adapting classical information theory concepts with harmonic analysis techniques.
Findings
Established a quantum message space model.
Applied harmonic analysis on free groups.
Bridged classical and quantum information theories.
Abstract
This paper develops the quantum analog of the message ensemble of classical information theory as developed by Shannon and Khinchin. The principal mathematical tool is harmonic analysis on the free group with two generators.
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Taxonomy
TopicsQuantum Mechanics and Applications · Quantum Information and Cryptography · Quantum Computing Algorithms and Architecture