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Range Theorems for Quantum Probability and Entanglement

I. Pitowsky
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Abstract

We consider the set of all matrices of the form $p_{ij}=tr[W(E_{i}\otimes F_{j})]$ where $E_{i}$, $F_{j}$ are projections on a Hilbert space $H$, and $W$ is some state on $H\otimes H$. We derive the basic properties of this set, compare it with the classical range of probability, and note how its properties may be related to geometric measures of entanglement.

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I. Pitowsky. 2001-12-12. Range Theorems for Quantum Probability and Entanglement. https://arxiv.org/abs/quant-ph/0112068

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