Academic Journal
Infinite-Dimensional Quantum Entropy: The Unified Entropy Case
| العنوان: | Infinite-Dimensional Quantum Entropy: The Unified Entropy Case |
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| المؤلفون: | Roman Gielerak, Joanna Wiśniewska, Marek Sawerwain |
| المصدر: | Entropy, Vol 26, Iss 12, p 1070 (2024) |
| بيانات النشر: | MDPI AG, 2024. |
| سنة النشر: | 2024 |
| المجموعة: | LCC:Science LCC:Astrophysics LCC:Physics |
| مصطلحات موضوعية: | quantum entropies, unified entropy, Fredholm determinants, numerical determinants, Science, Astrophysics, QB460-466, Physics, QC1-999 |
| الوصف: | Infinite-dimensional systems play an important role in the continuous-variable quantum computation model, which can compete with a more standard approach based on qubit and quantum circuit computation models. But, in many cases, the value of entropy unfortunately cannot be easily computed for states originating from an infinite-dimensional Hilbert space. Therefore, in this article, the unified quantum entropy (which extends the standard von Neumann entropy) notion is extended to the case of infinite-dimensional systems by using the Fredholm determinant theory. Some of the known (in the finite-dimensional case) basic properties of the introduced unified entropies were extended to this case study. Certain numerical examples for computing the proposed finite- and infinite-dimensional entropies are outlined as well, which allowed us to calculate the entropy values for infinite Hilbert spaces. |
| نوع الوثيقة: | article |
| وصف الملف: | electronic resource |
| اللغة: | English |
| تدمد: | 1099-4300 |
| Relation: | https://www.mdpi.com/1099-4300/26/12/1070; https://doaj.org/toc/1099-4300 |
| DOI: | 10.3390/e26121070 |
| URL الوصول: | https://doaj.org/article/77eeda1ef86e4872916c8ae8ae753ec0 |
| رقم الانضمام: | edsdoj.77eeda1ef86e4872916c8ae8ae753ec0 |
| قاعدة البيانات: | Directory of Open Access Journals |
Full Text Finder | تدمد: | 10994300 |
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| DOI: | 10.3390/e26121070 |