Quantum-Bayesian Coherence

Details Quantum-Bayesian Coherence Quantum-Bayesian Coherence

2009-06-11

arxiv.org/abs/0906.2187v1

Physics

Quantum Physics

62 pages, 3 figures, one special equation with a box around it

Scientific paper

In a quantum-Bayesian take on quantum mechanics, the Born Rule cannot be interpreted as a rule for setting measurement-outcome probabilities from an objective quantum state. But if not, what is the role of the rule? In this paper, we argue that it should be seen as an empirical addition to Bayesian reasoning itself. Particularly, we show how to view the Born Rule as a normative rule in addition to usual Dutch-book coherence. It is a rule that takes into account how one should assign probabilities to the consequences of various intended measurements on a physical system, but explicitly in terms of prior probabilities for and conditional probabilities consequent upon the imagined outcomes of a special counterfactual reference measurement. This interpretation is seen particularly clearly by representing quantum states in terms of probabilities for the outcomes of a fixed, fiducial symmetric informationally complete (SIC) measurement. We further explore the extent to which the general form of the new normative rule implies the full state-space structure of quantum mechanics. It seems to get quite far.

Affiliated with

Also associated with

No associations

Rating

Quantum-Bayesian Coherence does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Quantum-Bayesian Coherence, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Quantum-Bayesian Coherence will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-517017