Fig. 8: Simulation of H2 and LiH Hamiltonian. | npj Quantum Information

Fig. 8: Simulation of H2 and LiH Hamiltonian.

From: Synthesizing efficient circuits for Hamiltonian simulation

Fig. 8

Log-log plots showing number of iterations (a, d), Rz/cRz (b, e), Toffoli-pairs (c, f) as function of error, while simulating the H2 (a–c) and LiH (d–f) Hamiltonians with qDRIFT. The red and blue dots show the variation when sampling single and multiple commuting Paulis per qDRIFT iteration, respectively. The Y-axis label in all plots is \({\log }_{10}\,{{\mbox{Error}}}\,\). The X-axis label of (a), (d) is \({\log }_{10}\,{{\mbox{Iterations}}}\,\), (b), (e) is \({\log }_{10}\,{{\mbox{Rotations}}}\,\) and (c), (f) is \({\log }_{10}\,{{\mbox{Toffoli Cost}}}\,\).

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