Classical representations for quantum-like systems through an axiomatics for context dependence
| dc.creator | Coecke, Bob | |
| dc.date | 2000-08-14 | |
| dc.date.accessioned | 2026-07-07T06:00:39Z | |
| dc.date.available | 2026-07-07T06:00:39Z | |
| dc.description | We introduce a definition for a 'hidden measurement system', i.e., a physical entity for which there exist: (i) 'a set of non-contextual states of the entity under study' and (ii) 'a set of states of the measurement context', and which are such that all uncertainties are due to a lack of knowledge on the actual state of the measurement context. First we identify an explicit criterion that enables us to verify whether a given hidden measurement system is a representation of a given couple $\Si,{\cal E}$ consisting of a set of states $\Si$ and a set of measurements ${\cal E}$ ($=$ measurement system). Then we prove for every measurement system that there exists at least one representation as a hidden measurement system with $[0,1]$ as set of states of the measurement context. Thus, we can apply this definition of a hidden measurement system to impose an axiomatics for context dependence. We show that in this way we always find classical representations (hidden measurement representations) for general non-classical entities (e.g. quantum entities). | |
| dc.description | 15 pages | |
| dc.identifier | https://arxiv.org/abs/quant-ph/0008061 | |
| dc.identifier | http://arxiv.org/abs/quant-ph/0008061 | |
| dc.identifier | Helvetica Physica Acta 70, 442-461 (1997) | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/89025 | |
| dc.subject | Quantum Physics | |
| dc.subject | Mathematical Physics | |
| dc.title | Classical representations for quantum-like systems through an axiomatics for context dependence | |
| dc.type | text |