Inverse iteration quantum eigensolvers assisted with a continuous variable

Abstract The capacity for solving eigenstates with a quantum computer is key ultimately simulating physical systems. Here we propose inverse iteration eigensolvers, which exploit the power of computing classical method. A ingredient constructing an Hamiltonian as linear combination coherent evolution. We first consider continuous-variable mode (qumode) realizing such integral, weights being encoded into qumode resource state. demonstrate algorithm numerical simulations under finite squeezing various systems, including molecules and many-body models. also discuss hybrid quantum–classical that directly sums up evolution different durations comparison. It revealed resources are valuable reducing time Hamiltonians in algorithms.