Fig. 2: Quantum circuit for \({e}^{-i{H}_{1y}t}\) and \({e}^{-i{H}_{1x1}t}\).
From: Synthesizing efficient circuits for Hamiltonian simulation
a–c: Circuit simulating \({e}^{-i{H}_{1y}t}\) a when a6t = − θ1, b1t = − θ2, a3t = a5t = a7t = θ1 and b2t = b3t = b7t = θ2; b when a0t = … = a7t = θ1 and b0t = … = b7t = θ2; c when the coefficients are as in Equation 18. d–f: Circuit simulating \({e}^{-i{H}_{1x1}t}\) d when a1t = − θ1, b6t = − θ2, a0t = a2t = a3t = θ1 and b0t = b4t = b5t = θ2; e when a0t = … = a7t = θ1 and b0t = … = b7t = θ2; f when the coefficients are as in Equation 18.
