A method for bootstrapping a variational algorithm for quantum computing includes performing, using a quantum processor, a first iteration of a variational algorithm on a first wavefunction to compute a first expectation value of a first quantum system corresponding to a solution of the first iteration, the first wavefunction corresponding to a first quantum state of the first quantum system, the first expectation value comprising an energy of the first quantum state. The embodiment includes generating, based on the solution of the first iteration a second wavefunction as output of the first iteration of the variational algorithm, the second wavefunction corresponding to a second quantum state of the first quantum system. The embodiment includes performing, using the quantum processor, a second iteration of the variational algorithm on the second wavefunction to compute a second expectation value of a second quantum system, the second expectation value comprising an energy of a first quantum state of the second quantum system.
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