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pro vyhledávání: '"Hansen, Frank"'
Autor:
Furuichi, Shigeru, Hansen, Frank
A lower bound of the reduced relative entropy is given by the use of a variational expression. The reduced Tsallis relative entropy is defined and some results are given. In particular, the convexity of the reduced Tsallis relative entropy is obtaine
Externí odkaz:
http://arxiv.org/abs/2312.03778
Autor:
Hansen, Frank
Publikováno v:
Annals of Functional Analysis 2024
We investigate geometric properties of a class of trace functions expressed in terms of the deformed logarithmic and exponential functions. These trace functions and their properties may be of independent interest. We use them in particular to extend
Externí odkaz:
http://arxiv.org/abs/2307.13097
Autor:
Hansen, Frank
We introduce the notion of reduced relative quantum entropy and prove that it is convex. This result is then used to give a simplified proof of a theorem of Lieb and Seiringer.
Externí odkaz:
http://arxiv.org/abs/2209.06118
Autor:
AL Halbouni, Hadi, Hansen, Frank
When developers or organizations need to develop a game, simulation or a similar project, they phase the question of whether or not to use a game engine as well as the question on which one to use. Are all game engines the same or does the architectu
Externí odkaz:
http://urn.kb.se/resolve?urn=urn:nbn:se:bth-20241
Autor:
Hansen, Frank
Publikováno v:
Linear Algebra and its Applications 636 (2022) 69-76
By using a variational principle we find a necessary and sufficient condition for an operator to majorise the parallel sum of two positive definite operators. This result is then used as a vehicle to create new operator inequalities involving the par
Externí odkaz:
http://arxiv.org/abs/2107.07935
Publikováno v:
Entropy 2021, 23, 263
Local quantum uncertainty and interferometric power have been introduced by Girolami et al. in [1,2] as geometric quantifiers of quantum correlations. The aim of the present paper is to discuss their properties in a unified manner by means of the the
Externí odkaz:
http://arxiv.org/abs/2101.11581
Autor:
Hansen, Frank
The theory of geodesic regression aims to find a geodesic curve which is an optimal fit to a given set of data. In this article we restrict ourselves to the Riemannian manifold of positive definite operators (matrices) on a Hilbert space of finite di
Externí odkaz:
http://arxiv.org/abs/2005.01326
Autor:
Shi, Guanghua, Hansen, Frank
Publikováno v:
Letters in Mathematical Physics 07 May 2020
We develop variational representations for the deformed logarithmic and exponential functions and use them to obtain variational representations related to the quantum Tsallis relative entropy. We extend Golden-Thompson's trace inequality to deformed
Externí odkaz:
http://arxiv.org/abs/1901.06807
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