Scalable, self-verifying variational quantum eigensolver using adiabatic warm starts

We study an adiabatic variant of the variational quantum eigensolver (VQE) in which VQE is performed iteratively for a sequence of Hamiltonians along an adiabatic path. We derive the conditions under which gradient-based optimization successfully prepares the adiabatic ground states. These conditions show that the barren plateau problem and local optima can be avoided. Additionally, we propose using energy-standard-deviation measurements at runtime to certify eigenstate accuracy and verify convergence to the global optimum.

Source: arXiv:2602.17612v1 - http://arxiv.org/abs/2602.17612v1 PDF: https://arxiv.org/pdf/2602.17612v1 Original Link: http://arxiv.org/abs/2602.17612v1