The behavior humanity has observed in quantum systems has confounded the everyday intuition of the human observers for more than a century now. Considerable effort has been spent on trying to reframe this weird behavior in terms of less "spooky", classical theories of "hidden variables". However, evidence from both experiments and purely mathematical constructs have shown that the only path free of contradictions is embracing that reality can only be quantum.
I'll be your qubit! provides for a personalized experience of the contradictions that quell any attempt to explain the rich quantum world in terms of noncontextual hidden variable theories. The installation's ceiling diagram is described on the right and below we describe richer resources that the interested might want to look up.
The ceiling diagram shows a graph representation of a subset of the Pauli group of two qubits. Each vertex is an operator. Edges connect operators that commute with each other, i.e. operators that are compatible observables. Each edge corresponds to a complete set of commuting observables. Moreover, there are 9 cycles of length 3, corresponding to sets of 3 compatible observables. These sets are overdetermined and have their total parity constrained. Cycles of parity 1 are depicted as blue while cycles of parity -1 are red. This diagram is a variation of the Mermin-Peres square, one of the tools used to exemplify the infeasibility of hidden variable theories.