Range theorems for quantum probability and entanglement

Abstract

We consider the set of all matrices of the form pij = tr[W (Ei ⊗ Fj)] where Ei, Fj are projections on a Hilbert space H, and W is some state on H ⊗ 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 a geometric measures of entanglement.

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Citations of this work

Betting on the outcomes of measurements: A bayesian theory of quantum probability.Itamar Pitowsky - 2002 - Studies in History and Philosophy of Science Part B: Studies in History and Philosophy of Modern Physics 34 (3):395-414.
Betting on the outcomes of measurements: a Bayesian theory of quantum probability.Itamar Pitowsky - 2003 - Studies in History and Philosophy of Science Part B: Studies in History and Philosophy of Modern Physics 34 (3):395-414.

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