Weakening the Born Rule - Towards a Stateless Formulation of Quantum Mechanics

The notion of state vector is, in quantum mechanics, as central as it is problematic, as illustrates the wealth of publications about the sub- jects, including in particular the many attempts to obtain an acceptable interpretation of quantum mechanics. In this article, we propose a different approach, and initiate the study of a formulation of quantum mechanics, where the notion of state is entirely replaced by assertions about measurement outcomes. We define a notion of "verification" which represents the knowledge that one may have about the possible outcomes of the measurements performed on a quantum system, and express a set of logical rules which allow to reason about quantum systems using verification assertions only, and thus making no reference to the problematic notion of state.

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Field Value
Source https://hal.science/hal-00820730
Author Brunet, Olivier
Maintainer CCSD
Last Updated May 11, 2026, 05:12 (UTC)
Created May 11, 2026, 05:12 (UTC)
Identifier hal-00820730
Language en
Rights https://about.hal.science/hal-authorisation-v1/
contributor Laboratoire Leibniz (Leibniz - IMAG) ; Université Joseph Fourier - Grenoble 1 (UJF)-Institut National Polytechnique de Grenoble (INPG)-Centre National de la Recherche Scientifique (CNRS)
creator Brunet, Olivier
date 2013-05-06T00:00:00
harvest_object_id f6a9c88a-9103-4323-a0e8-2238f490d8ad
harvest_source_id 3374d638-d20b-4672-ba96-a23232d55657
harvest_source_title test moissonnage SELUNE
metadata_modified 2025-09-27T00:00:00
relation info:eu-repo/semantics/altIdentifier/arxiv/1305.1262
set_spec type:UNDEFINED