6 papers · 1 filter
Generalizations of Kochen and Specker's Theorem and the Effectiveness of Gleason's Theorem
Ehud Hrushovski, Itamar Pitowsky
Kochen and Specker's theorem can be seen as a consequence of Gleason's theorem and logical compactness. Similar compactness arguments lead to stronger results about finite sets of…
Betting on the Outcomes of Measurements: A Bayesian Theory of Quantum Probability
I. Pitowsky
We develop a systematic approach to quantum probability as a theory of rational betting in quantum gambles. In these games of chance the agent is betting in advance on the outcomes…
Most Bell Operators do not Significantly Violate Locality
Itamar Pitowsky
The worst violation of Bell's inequality for qbits is of size and it is obtained by a specific operator acting on a specific state. We show, to the contrary…
Range Theorems for Quantum Probability and Entanglement
I. Pitowsky
We consider the set of all matrices of the form where , are projections on a Hilbert space , and is some state on $H\otimes…
Probability and Nonlocality in Many Minds Interpretations of Quantum Mechanics
M. Hemmo, I. Pitowsky
We argue that a certain type of many minds (and many worlds) interpretations of quantum mechanics due to Lockwood (and Deutsch) do not provide a coherent interpretation of the quan…
New optimal tests of quantum nonlocality
Itamar Pitowsky, Karl Svozil
We explore correlation polytopes to derive a set of all Boole-Bell type conditions of possible classical experience which are both maximal and complete. These are compared with the…