Quantum Axiomatics: Topological and Classical Properties of State Property Systems |
| |
Authors: | Diederik Aerts Bart D’Hooghe Mark Sioen |
| |
Institution: | 1.Centre Leo Apostel and Department of Mathematics,Vrije Universiteit Brussel,Brussels,Netherlands;2.Department of Mathematics,Vrije Universiteit Brussel,Brussels,Netherlands |
| |
Abstract: | The definition of ‘classical state’ from (Aerts in K. Engesser, D. Gabbay and D. Lehmann (Eds.), Handbook of Quantum Logic and Quantum Structures. Elsevier, Amsterdam, 2009), used e.g. in Aerts et al. (http://arxiv.org/abs/quant-ph/0503083, 2010) to prove a decomposition theorem internally in the language of State Property Systems, presupposes as an additional datum an orthocomplementation on the property lattice of a physical system. In this paper we argue on the basis of the (ε,d)-model on the Poincaré sphere that a notion of topologicity for states can be seen as an alternative (operationally foundable) classicality notion in the absence of an orthocomplementation, and compare it to the known and operationally founded concept of classicality. |
| |
Keywords: | |
本文献已被 SpringerLink 等数据库收录! |
|