Variational Ground-State Quantum Adiabatic Theorem

Year: 2025

Type: article

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 highly entangled intermediate states along the exact adiabatic path, the variational evolution converges to the target ground state. We demonstrate this approach with several examples that align with our theoretical analysis.

Source: Physical Review Letters

DOI: 10.1103/physrevlett.134.130601

Authors: Bojan Žunkovič, Pietro Torta, Giovanni Pecci, Guglielmo Lami, Mario Collura

Institutions: University of Ljubljana, Scuola Internazionale Superiore di Studi Avanzati, University of Milan, Istituto Officina dei Materiali, CY Cergy Paris Université, Istituto Nazionale di Fisica Nucleare, Sezione di Trieste

Language: English

Topic: Quantum Computing Algorithms and Architecture

Subfield: Artificial Intelligence

Field: Computer Science

Domain: Physical Sciences

Open Access status: hybrid

Estimated APC paid: $3,750

Funders: European Commission, Agence Nationale de la Recherche, Agenzia Spaziale Italiana, Javna Agencija za Raziskovalno Dejavnost RS, Univerza v Ljubljani, QuantERA, Horizon 2020 Framework Programme, Multidisciplinary University Research Initiative, H2020 European Research Council

OpenAlex ID: W4409002775