Range Theorems for Quantum Probability and Entanglement

I. Pitowsky

paper

Range Theorems for Quantum Probability and Entanglement

arXiv:quant-ph/0112068

Abstract

We consider the set of all matrices of the form $p_{ij} = t r [W (E_{i} \otimes F_{j})]$ 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.

8 pages, contribution to proceedings of the conference "Quantum Theory: Reconsideration of Foundations", Vaxjo, July 2001