Use of a Canonical Hidden-Variable Space in Quantum Mechanics

In Brandenburger and Keisler (2012b) we showed that, provided only that the measurement and outcome spaces in an experimental system are measure-theoretically separable, then there is a canonical hidden-variable space, namely the unit interval equipped with Lebesgue measure. Here, we use this result to establish a general relationship between two kinds of conditions on correlations in quantum systems: Bell locality (1964) and λ-independence on the one hand, and no signaling (Ghirardi, Rimini, and Weber (1980), Jordan (1983)) on the other hand. “I rose the next morning, with Objective-Subjective and Subjective-Objective inextricably entangled together in my mind”3

• Type: Journal
• Year: 2013
• Where: BIRTHDAY
• Authors: Adam Brandenburger, H. Jerome Keisler
• Keywords: Applied Computing, BIRTHDAY 2013