Generalized uncertainty relation associated with a monotone or anti-monotone pair skew information
Kenjiro Yanagi, Satoshi Kajihara
TL;DR
This paper establishes a trace inequality linked to uncertainty relations involving pair skew information, generalizing previous results and encompassing the generalized Wigner-Yanase-Dyson skew information.
Contribution
It introduces a new trace inequality related to uncertainty relations for monotone or anti-monotone pair skew information, extending prior work and including specific cases like the generalized Wigner-Yanase-Dyson skew information.
Findings
Derived a trace inequality for pair skew information
Unified uncertainty relation framework for monotone and anti-monotone pairs
Generalized previous results to include Wigner-Yanase-Dyson skew information
Abstract
We give a trace inequality related to the uncertainty relation based on the monotone or anti-monotone pair skew information which is one of generalizations of result given by Ko and Yoo. It includes our result for generalized Wigner-Yanase-Dyson skew information as a particular case.
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Taxonomy
TopicsFuzzy Systems and Optimization · Multi-Criteria Decision Making · Distributed Sensor Networks and Detection Algorithms