A Linear Programming Approach to Attainable Cram\'{e}r-Rao type Bounds and Randomness Condition II
Masahito Hayashi
TL;DR
This paper introduces a linear programming method to analyze Cramér-Rao bounds, providing a necessary and sufficient condition for their attainability by random measurements, demonstrated in a spin 1/2 system.
Contribution
It presents a novel linear programming framework to determine when Cramér-Rao bounds can be achieved by random measurements, advancing quantum estimation theory.
Findings
Condition satisfied in spin 1/2 system
Necessary and sufficient condition established
Framework applicable to quantum measurement analysis
Abstract
The author studies the Cram\'{e}r-Rao type bound by a linear programming approach. By this approach, he found a necessary and sufficient condition that the Cram\'{e}r-Rao type bound is attained by a random measurement. In a spin 1/2 system, this condition is satisfied.
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Taxonomy
Topicsgraph theory and CDMA systems