Related papers: Decoherence and Probability

Decoherence and Probability

URL: http://arxiv.org/abs/2410.01317v1
Date: Wed, 2 Oct 2024 08:16:09 GMT
Title: Decoherence and Probability
Authors: Richard Dawid, Karim P. Y. Thébault,
Abstract summary: Non-probabilistic accounts of the emergence of probability via decoherence are unconvincing. An alternative account of the emergence of probability involves the combination of textitquasi-probabilistic emergence, via a partially interpreted decoherence model.
Score: 0.0
License: http://creativecommons.org/licenses/by/4.0/
Abstract: One cannot justifiably presuppose the physical salience of structures derived via decoherence theory based upon an entirely uninterpreted use of the quantum formalism. Non-probabilistic accounts of the emergence of probability via decoherence are thus unconvincing. An alternative account of the emergence of probability involves the combination of \textit{quasi-probabilistic emergence}, via a partially interpreted decoherence model, with \textit{semi-classical emergence}, via averaging of observables with respect to a positive-definite \textit{quasi-probability} function and neglect of terms $O(\hbar)$. This approach avoids well-known issues with constructing classical probability measures in the context of the full set of states of a quantum theory. Rather, it considers a generalised \textit{quasi-measure} structure, \textit{partially interpreted} as weighting of possibilities, over a more general algebra, and delimits the context in which the combination of decoherence and a semi-classical averaging allows us to recover a classical probability model as a coarse-grained description which neglects terms $O(\hbar)$.

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