Incidence systems of (3,6)- and (4,4)-graphs admit quantum solutions over Z_p for arbitrary weights, producing linear system games with perfect commuting-operator but no classical strategies.
David Mermin, Simple unified form for the major no-hidden-variables theorems, Physical Review Letters 65 (1990), no
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Operator solutions of linear systems and small cancellation
Incidence systems of (3,6)- and (4,4)-graphs admit quantum solutions over Z_p for arbitrary weights, producing linear system games with perfect commuting-operator but no classical strategies.