| CPC G06N 10/20 (2022.01) [G06F 15/16 (2013.01)] | 12 Claims |

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1. A method performed by quantum computing hardware and one or more classical processors for preparing an eigenstate of a Hamiltonian, the method comprising:
evolving, by the quantum computing hardware, an initial quantum state of a system of physical qubits included in the quantum computing hardware according to a time evolution operator to generate an intermediate quantum state, wherein the time evolution operator comprises a truncation of the Hamiltonian, the evolving is performed for a truncated number of time steps, and the truncated number of time steps scales at a rate that is less than sub-logarithmic in a first predetermined error tolerance; and
variationally adjusting, by the quantum computing hardware and the one or more classical processors, the intermediate quantum state of the system of physical qubits to determine a wavefunction that approximates the eigenstate of the Hamiltonian and satisfies the first predetermined error tolerance.
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