The first, “contextuality,” is a way to understand interference effects found with inferences and decisions under conditions of uncertainty. The second, “quantum entanglement,” allows cognitive phenomena to be modelled in non-reductionist ways. Quantum Models of Cognition and Decision (PDF)
Yes contextualization matters, and it is not just the math, but avenues to understanding depth psychology. This distinction was pointed out twice on rationality with regard perception and Jung, as it was written by Blutner ( -http://www.blutner.de ) One might find some information on his personal interests that I presented as a paper written by him that might help.
I did not mention his interest to music for further research (Modelling tonal attraction: Tonal hierarchies, interval cycles, and quantum probabilities.) I mentioned the Necker Cube for a reason. If it is not an entangle state what does contextual mean? "Spread out" as if a parable? What is the essence of the parable as it is taken to mean to you becomes the entangled state. What did you get from it? Alternating back and forth the Necker Cube becomes an example of this process to say, how one can transfer back and forth between contextualize and the entanglement.
In the present literature, there are several approaches that seek for a general justification of quantum probabilities in the context of cognitive science. For example, Kitto (2008) considers very complex systems such as the growth and evolution of natural languages and other cultural systems and argues that the description of such systems cannot be separated from their context of interaction. She argues that quantum interaction formalisms provide a natural model of these systems “because a mechanism for dealing with such contextual dependency is inbuilt into the quantum formalism itself”. Hence, the question of why quantum interaction is necessary in modelling cognitive phenomena is answered by referring to its nature as a complex epistemic system. Quantum Cognition -
Bold and underline added by me for emphasis
See also videos at ICI Berlin by Harald Atmanspacher as listed. https://www.ici-berlin.org/videos/atmanspacher/part/1/
It is widely accepted that consciousness or, more generally, mental activity is in some way correlated to the behavior of the material brain. Since quantum theory is the most fundamental theory of matter that is currently available, it is a legitimate question to ask whether quantum theory can help us to understand consciousness. Several programmatic approaches answering this question affirmatively, proposed in recent decades, will be surveyed. It will be pointed out that they make different epistemological assumptions, refer to different neurophysiological levels of description, and use quantum theory in different ways. For each of the approaches discussed, problematic and promising features will be equally highlighted.Quantum Approaches to Consciousness -
As related earlier, if it's not in the brain where and how is quantum theory being used?