Contextuality is a non-classical behaviour that can be exhibited by quantum systems. It increasingly studied for its relationship to quantum-over-classical advantages in informatic tasks. To date, it has largely been discrete-variable scenarios, where observables take values discrete and usually finite sets. Practically, on the other hand, continuous-variable scenarios offer some of most promis...

It is shown that the codewords of binary and ternary Golay codes can be converted into rays in ${\mathbb{RP}}^{23}$ ${\mathbb{RP}}^{11}$ provide proofs Kochen-Specker theorem real state spaces dimensions 24 12, respectively. Some implications these results are discussed.

Quantum value indefiniteness 1 refers to the impossibility of a consistent coexistence of certain complementary operationally incompatible quantum observables. It is inferred from three sources: i from quantum violations of constraints on classical probability distributions termed “conditions of possible experience” by Boole 2 , also known as the Boole-Bell-type inequalities 3 , ii from the Koc...