Diagonalization of Pauli XX + Pauli YY
Diagonalization of a mixture of tensor products of pauli X and pauli Y by finding a common eigenbasis
Illustration of Problem
Given \(\begin{equation} H = \sigma_X \otimes \sigma_X + \sigma_Y \otimes \sigma_Y, \end{equation}\) diagonalize the whole thing so that we can build a simulation circuit that does not split the two terms.
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