On the existence of quantum representations for two dichotomic measurements
@article{Fritz2009OnTE,
title={On the existence of quantum representations for two dichotomic measurements},
author={Tobias Fritz},
journal={Journal of Mathematical Physics},
year={2009},
volume={51},
pages={052103-052103}
}Under which conditions do outcome probabilities of measurements possess a quantum-mechanical model? This kind of problem is solved here for the case of two dichotomic von Neumann measurements which can be applied repeatedly to a quantum system with trivial dynamics. The solution uses methods from the theory of operator algebras and the theory of moment problems. The ensuing conditions reveal surprisingly simple relations between certain quantum-mechanical probabilities. It also shown that…
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