{ "id": "1305.1262", "version": "v1", "published": "2013-05-06T17:59:40.000Z", "updated": "2013-05-06T17:59:40.000Z", "title": "Weakening the Born Rule - Towards a Stateless Formulation of Quantum Mechanics", "authors": [ "Olivier Brunet" ], "categories": [ "quant-ph", "math.LO" ], "abstract": "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.", "revisions": [ { "version": "v1", "updated": "2013-05-06T17:59:40.000Z" } ], "analyses": { "keywords": [ "quantum mechanics", "born rule", "stateless formulation", "quantum system", "state vector" ], "note": { "typesetting": "TeX", "pages": 0, "language": "en", "license": "arXiv", "status": "editable", "adsabs": "2013arXiv1305.1262B" } } }