Range Theorems for Quantum Probability and Entanglement

Details Range Theorems for Quantum Probability and Entanglement Range Theorems for Quantum Probability and Entanglement

2001-12-12

arxiv.org/abs/quant-ph/0112068v1

Physics

Quantum Physics

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

Scientific paper

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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