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Abstract: The author summarizes the Quantum Bayesian viewpoint of quantum mechanics,developed originally by C. M. Caves, R. Schack, and himself. It is a viewcrucially dependent upon the tools of quantum information theory. Work at thePerimeter Institute for Theoretical Physics continues the development and isfocused on the hard technical problem of a finding a good representation ofquantum mechanics purely in terms of probabilities, without amplitudes orHilbert-space operators. The best candidate representation involves amysterious entity called a symmetric informationally complete quantummeasurement. Contemplation of it gives a way of thinking of the Born Rule as anaddition to the rules of probability theory, applicable when one gambles on theconsequences of interactions with physical systems. The article ends byoutlining some directions for future work.

Author: Christopher A. Fuchs

Source: https://arxiv.org/

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