Fig. 1: Quantum circuit simulating e−iHt.
From: Synthesizing efficient circuits for Hamiltonian simulation
a Circuit when a1t = a6t = − θ and a0t = a2t = … = a5t = a7t = θ. (b) Circuit in a with the multi-controlled rotation implemented with Toffoli and controlled rotation. c Circuit when a0t = … = a7t = θ. d Circuit when the coefficients are as in Equation 18. e Circuit in d with the multi-controlled rotations in the boxed section implemented with Toffolis and controlled rotations. f Circuit in e with some further reduction of the intermediate Toffoli gates.
