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arxiv: 1603.00410 · v1 · pith:XYBT3XGYnew · submitted 2016-02-29 · 🧮 math.OA · math.QA

A universal property for sequential measurement

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keywords sequentialmeasurementproductsqrtalgebraaxiomscompletelydetermine
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We study the sequential product, the operation $p * q = \sqrt{p} q \sqrt{p}$ on the set of effects of a von Neumann algebra that represents sequential measurement of first $p$ and then $q$. We give four axioms which completely determine the sequential product.

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