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arXiv · 2602.17612

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

Bojan Žunkovič·Marco Ballarin·Lewis Wright·Michael Lubasch
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Abstract

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.

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Bojan Žunkovič, Marco Ballarin, Lewis Wright, Michael Lubasch. 2026-02-19. Scalable, self-verifying variational quantum eigensolver using adiabatic warm starts. https://arxiv.org/abs/2602.17612

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