Fig. 4: Quantum circuit for \({e}^{-i{H}_{3y}t}\) and \({e}^{-i{H}_{3x1}t}\).
From: Synthesizing efficient circuits for Hamiltonian simulation
a–e: Circuit simulating \({e}^{-i{H}_{3y}t}\) (a) when a1t = − θ1, b6t = − θ2, a2t = a3t = a7t = θ1 and b3t = b5t = b7t = θ2; (b) with the coefficient values in (a), except here θ1 = θ2; (c) when a1t = a2t = a3t = a7t = θ1 and b3t = b5t = b6t = b7t = θ2; (d) when the coefficients are as in Equation 18; (e) Circuit with the coefficients in (d), except in this case h2 = g1, h3 = g3, h1 = g2. f–h: Circuit simulating \({e}^{-i{H}_{3x1}t}\) (f) when a6t = − θ1, b1t = − θ2, a0t = a5t = a4t = θ1 and b0t = b2t = b4t = θ2; (g) when a0t = … = a7t = θ1 and b0t = … = b7t = θ2; (h) when the coefficients are as in Equation 18.
