Quantum cognition is an emergent area of research that applies quantum structures in cognitive situations where traditional approaches are problematic. Independently from quantum cognition, quantum approaches for the semantics of music interpretation and improvisation have been proposed in the context of quantum computational logic and standard quantum mechanics, respectively. These frameworks overcome the non-contextual and compositional approaches to the semantics of music. In this paper, we analyze the quantum approach to the semantics of music from the perspective of quantum cognition. We first introduce an operational framework, inspired by the Brussels---Geneva approach to the foundations of quantum theory, named state context property (SCoP) formalism, that has been applied in quantum cognition to model concepts. Next, we show that the quantum approaches to the semantics of music can be operationalized in SCoP. In particular, we apply the SCoP definitions of `orthogonal property' and `experiment-context' to operationalize the notions of `vague meaning' and `interpretation', and to characterize the structural differences between the semantics of music interpretation and improvisation.
['Tomas Veloz', 'Pablo Razeto']
The state context property formalism: from concept theory to the semantics of music