A Linear Programming Approach to Attainable Cramer-Rao type Bounds and Randomness Condition

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The author studies the Cramer-Rao type bound by a linear programming approach. By this approach, he found a necessary and sufficient condition that the Cramer-Rao type bound is attained by a random measurement. In a spin 1/2 system, this condition is satisfied.
LaTeX, 27 pages, submitted to Journal Mathematical Physics

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