The Infinite-Dimensional Quantum Entropy: the Unified Entropy Case

Fuente: arXiv
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Autori principali: Gielerak, Roman, Wiśniewska, Joanna, Sawerwain, Marek
Natura: Preprint
Pubblicazione: 2024
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author Gielerak, Roman
Wiśniewska, Joanna
Sawerwain, Marek
author_facet Gielerak, Roman
Wiśniewska, Joanna
Sawerwain, Marek
contents 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.
format Preprint
id arxiv_https___arxiv_org_abs_2406_17133
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle The Infinite-Dimensional Quantum Entropy: the Unified Entropy Case
Gielerak, Roman
Wiśniewska, Joanna
Sawerwain, Marek
Quantum Physics
Information Theory
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.
title The Infinite-Dimensional Quantum Entropy: the Unified Entropy Case
topic Quantum Physics
Information Theory
url https://arxiv.org/abs/2406.17133