Simulation of two spin-s singlet correlations for all s involving spin measurements

In a recent paper [A. Ahanj et al., quant-ph/0603053], we gave a classical protocol to simulate quantum correlations corresponding to the spin s singlet state for the infinite sequence of spins satisfying 2s+1 = 2ⁿ. In the present paper, we have generalized this result by giving a classical protocol to exactly simulate quantum correlations implied by the spin-s singlet state corresponding to all integer as well as half-integer spin values s. The class of measurements we consider here are only those corresponding to spin observables, as has been done in the above-mentioned paper. The required amount of communication is found to be lceil {rm log}₂ (s + 1) rceil in the worst case scenario, where lceil x rceil is the least integer greater than or equal to x.