Range Theorems for Quantum Probability and Entanglement

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.

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

Cited by in corpus (6)

• On the Relationship between Convex Bodies Related to Correlation Experiments with Dichotomic Observables
• Bell's inequality: Physics meets Probability
• Are simultaneous Bell measurements possible?
• What makes quantum clicks special?
• Characterizing quantum correlations in the nonsignaling framework
• What is really "quantum" in quantum theory?