Consider two Ising spins in the canonical ensemble with a Hamiltonian given by H = S 1

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Consider two Ising spins in the canonical ensemble with a Hamiltonian given by H = −S1S2. Compute the correlation coefficient CX1X2 and the mutual information I(X1;X2) between the two variables X1 and X2 given by X1 = S1 and X2 = S2. Discuss the limits of the temperature going to zero and infinity, respectively.

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