The n-th root of sequential effect algebras

Details The n-th root of sequential effect algebras The n-th root of sequential effect algebras

2009-03-30

arxiv.org/abs/0903.5120v3

Physics

Mathematical Physics

Scientific paper

Sequential effect algebra is an important model for studying quantum measurement theory. In 2005, Professor Gudder presented 25 open problems to motivate its study. The 20th problem asked: In a sequential effect algebra, if the square root of some element exists, is it unique ? We can strengthen the problem as following: For each given positive integer $n>1$, is there a sequential effect algebra such that the n-th root of its some element $c$ is not unique and the n-th root of $c$ is not the k-th root of $c$ ($k

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