Variational ground-state quantum adiabatic theorem

2024/06/18 by Bojan Žunkovič, Pietro Torta, Žunkovič, Bojan +7 · 3 citations
Computer Science · Physics and Astronomy · #Cold Atom Physics and Bose-Einstein Condensates #Data Structures and Algorithms (cs.DS) #FOS: Computer and information sciences #FOS: Physical sciences #Quantum Information and Cryptography #Quantum Physics (quant-ph) #Quantum optics and atomic interactions

paper · pdf · doi:10.48550/arxiv.2406.12392

openalex publication_date 2024/06/18 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/01

Abstract

We present a variational quantum adiabatic theorem, which states that, under certain assumptions, the adiabatic dynamics projected onto a variational manifold follow the instantaneous variational ground state. We focus on low-entanglement variational manifolds and target Hamiltonians with classical ground states. Despite the presence of highly entangled intermediate states along the exact quantum annealing path, the variational evolution converges to the target ground state. We demonstrate this approach with several examples that align with our theoretical analysis.

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