Nature research paper: Unbiasing fermionic quantum Monte Carlo with a quantum computer
is simply a computational basis state or a Slater determinant. As quantum computers can efficiently approximate, there is a potential quantum advantage in this task, as well as its particular use in QMC. This offers a different route towards quantum advantage in ground-state fermion simulations compared with VQE, which instead seeks an advantage in the variational energy evaluation.
. In essence, on a classical computer one performs imaginary-time evolution for each wavefunction statistical sample,. During this procedure, a constraint associated with the quantum trial wavefunction is imposed to control the sign problem. To perform the constrained time evolution, the only quantity that needs to be calculated on the quantum computer is the overlap between the trial wavefunction,.
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