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.
A B b c C D bd ab ad cd ac # . (14) . The following is a four-state Mealy machine that satisfies predictions (Ia) and (II): S1 =
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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.