Challenges
Datasets
Workspaces
Papers
Discussions
Leaderboard
Log inSign up
Challenges
Datasets
Workspaces
Papers
Discussions
Leaderboard
Blog
Job Board
Q3AS

© 2026 Aqora Quantum S.A.S.

TermsPrivacyLegal Notice

Reports on Mathematical Physics

Three theorems about entropy and convergence of density matrices

Alfred Wehrl

Published Oct 1, 1976• 41 citations
Publisher
DOI
10.1016/0034-4877(76)90037-9

Related papers

Density matrices and entropies

Ingemar Bengtsson, Karol Zyczkowski

Cambridge University Press eBooks•May 11, 2006•1 citation

Density matrices and entropies

Ingemar Bengtsson, Karol Życzkowski

Cambridge University Press eBooks•Aug 14, 2017•0 citations

Some Theorems on Uniqueness and Reconstruction of Higher-Order Density Matrices

Mitja Rosina

Mathematical and computational chemistry•Jan 1, 2000•6 citations

On the Riemannian metric of ?-entropies of density matrices

D�nes Petz, Hiroshi Hasegawa

Letters in Mathematical Physics•Oct 1, 1996•79 citations

Entropy of Reduced Density Matrices

Mary Beth Ruskai

Springer eBooks•Jan 1, 1987•0 citations

Relative entropies of coherence of X states in three-dimensional mutually unbiased bases

Yuan-Feng Song, Li-Zhu Ge, Yaokun Wang +2 more

Abstract In this paper, we calculate the density matrices of one class of X states in the three-dimensional mutually unbiased bases and find that the density matrices are equal to their corresponding conjugate transpose matrices. After obtaining the relations of these density matrices, we calculate the relative entropies of coherence for the density matrices of X states in these nontrivial mutually unbiased bases and obtain that their relative entropies of coherence are equal. At last, the density matrices of other two classes of X states in these mutually unbiased bases are discussed. We also investigate their relative entropies of coherence and clarify their relationships.

Laser Physics Letters•Jun 13, 2022•1 citation
Abstract In this paper, we calculate the density matrices of one class of X states in the three-dimensional mutually unbiased bases and find that the density matrices are equal to their corresponding conjugate transpose matrices. After obtaining the relations of these density matrices, we calculate the relative entropies of coherence for the density matrices of X states in these nontrivial mutually unbiased bases and obtain that their relative entropies of coherence are equal. At last, the density matrices of other two classes of X states in these mutually unbiased bases are discussed. We also investigate their relative entropies of coherence and clarify their relationships.