The exact memory cost for simulating the contextuality of Mermin's pentagram is log2(5) bits, and the cost for all 15 two-qubit Pauli observables is at least log2(6) bits.
The possible results for measuring each of them are 4 χ11 χ22 χ33 χ23 χ32 χ21 χ12 χ31 χ13 χ02 χ30 χ10 χ20 χ03 χ01 FIG
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Memory cost of quantum contextuality with Pauli observables
The exact memory cost for simulating the contextuality of Mermin's pentagram is log2(5) bits, and the cost for all 15 two-qubit Pauli observables is at least log2(6) bits.