



01818nas a2200109   4500008004100000245006700041210006500108260001500173520146600188100001701654856003701671       2010                        eng d00aQuantum probabilities: an information-theoretic interpretation0 aQuantum probabilities an informationtheoretic interpretation  c2010/05/143 a  This Chapter develops a realist information-theoretic interpretation of the
nonclassical features of quantum probabilities. On this view, what is
fundamental in the transition from classical to quantum physics is the
recognition that \emph{information in the physical sense has new structural
features}, just as the transition from classical to relativistic physics rests
on the recognition that space-time is structurally different than we thought.
Hilbert space, the event space of quantum systems, is interpreted as a
kinematic (i.e., pre-dynamic) framework for an indeterministic physics, in the
sense that the geometric structure of Hilbert space imposes objective
probabilistic or information-theoretic constraints on correlations between
events, just as the geometric structure of Minkowski space in special
relativity imposes spatio-temporal kinematic constraints on events. The
interpretation of quantum probabilities is more subjectivist in spirit than
other discussions in this book (e.g., the chapter by Timpson), insofar as the
quantum state is interpreted as a credence function---a bookkeeping device for
keeping track of probabilities---but it is also objective (or intersubjective),
insofar as the credences specified by the quantum state are understood as
uniquely determined, via Gleason's theorem, by objective correlational
constraints on events in the nonclassical quantum event space defined by the
subspace structure of Hilbert space.
1 aBub, Jeffrey  uhttp://arxiv.org/abs/1005.2448v1