A representation theorem for quantum systems


Dosi A.

FUNCTIONAL ANALYSIS AND ITS APPLICATIONS, vol.47, no.3, pp.241-245, 2013 (SCI-Expanded) identifier identifier

Abstract

In this note representations of quantum systems are investigated. We propose a unital bipolar theorem for unital quantum cones, which plays a key role in proving a representation theorem for quantum systems. It turns out that each quantum system is identified with a certain quantum L-a-system up to a quantum order isomorphism.