{ "id": "quant-ph/0305117", "version": "v3", "published": "2003-05-20T23:40:11.000Z", "updated": "2004-09-22T22:37:02.000Z", "title": "Why can states and measurement outcomes be represented as vectors?", "authors": [ "Piero G. L. Mana" ], "comment": "LaTeX2e/RevTeX4, 8 pages", "categories": [ "quant-ph" ], "abstract": "It is shown how, given a \"probability data table\" for a quantum or classical system, the representation of states and measurement outcomes as vectors in a real vector space follows in a natural way. Some properties of the resulting sets of these vectors are discussed, as well as some connexions with the quantum-mechanical formalism.", "revisions": [ { "version": "v3", "updated": "2004-09-22T22:37:02.000Z" } ], "analyses": { "keywords": [ "measurement outcomes", "real vector space", "natural way", "classical system" ], "note": { "typesetting": "RevTeX", "pages": 8, "language": "en", "license": "arXiv", "status": "editable", "adsabs": "2003quant.ph..5117M" } } }