Mathematical aspects of QS

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A) Tsirelson’s problem
http://www.tau.ac.il/~tsirel/Research/bellopalg/main.html

B) Category description of quantum structures
http://arxiv.org/abs/1404.3049v1

DESCRIPTION:

A) Our approach exhausts by the tensor-product-structures. The question: are there composite systems, and what might be the physical meaning of the pertaining subsystems, beyond the TPS? [Of course, the Hilbert spaces of the prime-number dimensions is trivial in this context.

B) The question: is there a sufficiently general mathematical framework that could deduce the basic notions of QS studies in the “device-independent” manner?