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Quantum entropy in terms of local quantum Bernoulli noises and related properties.
- Source :
-
Communications in Statistics: Theory & Methods . 2022, Vol. 51 Issue 12, p4210-4220. 11p. - Publication Year :
- 2022
-
Abstract
- Localization of quantum Bernoulli noises (LQBNs) are the family of local annihilation and local creation operators acting on Bernoulli functionals. In this paper, we construct a density operator ρk represented by LQBNs, and define a new quantum entropy S (ρ k) based on LQBNs. Furthermore, we demonstrate that this quantum entropy S (ρ k) also has the basic properties of von Neumann entropy, such as concavity, subadditivity, and nonnegativity. In particular, we obtain the necessary and sufficient condition for S (ρ k) = k. [ABSTRACT FROM AUTHOR]
- Subjects :
- *QUANTUM noise
*QUANTUM entropy
Subjects
Details
- Language :
- English
- ISSN :
- 03610926
- Volume :
- 51
- Issue :
- 12
- Database :
- Academic Search Index
- Journal :
- Communications in Statistics: Theory & Methods
- Publication Type :
- Academic Journal
- Accession number :
- 156997104
- Full Text :
- https://doi.org/10.1080/03610926.2020.1812654