The Infinite-Dimensional Quantum Entropy: the Unified Entropy Case
Quantum Physics
2024-06-26 v1 Information Theory
math.IT
Abstract
By a use of the Fredholm determinant theory, the unified quantum entropy notion has been extended to a case of infinite-dimensional systems. Some of the known (in the finite-dimensional case) basic properties of the introduced unified entropies have been extended to the case study. Certain numerical approaches for computing the proposed finite and infinite-dimensional entropies are being outlined as well.
Cite
@article{arxiv.2406.17133,
title = {The Infinite-Dimensional Quantum Entropy: the Unified Entropy Case},
author = {Roman Gielerak and Joanna Wiśniewska and Marek Sawerwain},
journal= {arXiv preprint arXiv:2406.17133},
year = {2024}
}
Comments
12 pages, 2 figures