A classification of classical representations for quantum-like systems
Coecke, Bob
arXiv, 0008062 / Harvested from arXiv
Text on arXiv
For general non-classical systems, we study the different classical representations that fulfill the specific context dependence imposed by the hidden measurement system formalism introduced in quant-ph/0008061. We show that the collection of non-equivalent representations has a poset structure. We also show that in general, there exists no 'smallest' representation, since this poset is not a semi-lattice. Then we study the possible representations of quantum-like measurement systems. For example, we show that there exists a classical representation of finite dimensional quantum mechanics with ${\Bbb N}$ as a set of states for the measurement context, and we build an explicit example of such a representation.
Publié le : 2000-08-14
Classification:  Quantum Physics,  Mathematical Physics 
@article{0008062,
     author = {Coecke, Bob},
     title = {A classification of classical representations for quantum-like systems},
     journal = {arXiv},
     volume = {2000},
     number = {0},
     year = {2000},
     language = {en},
     url = {http://dml.mathdoc.fr/item/0008062}
}

Coecke, Bob. A classification of classical representations for quantum-like systems. arXiv, Tome 2000 (2000) no. 0, . http://gdmltest.u-ga.fr/item/0008062/