aiqbench analysis
This study presents a hybrid quantum-classical solver for the Anderson impurity model, demonstrating the feasibility of reconstructing Green's functions on near-term, noisy devices. By benchmarking variational quantum eigensolver circuits against classical pipelines, the work establishes practical performance metrics for quantum embedding methods within dynamical mean-field theory loops. The findings offer a concrete pathway for leveraging shallow quantum circuits to address classically intractable problems in strongly correlated materials.
Quantum solver for single-impurity Anderson models with particle-hole symmetry
arXiv:2601.10594v2 Announce Type: replace Abstract: Quantum embedding methods, such as dynamical mean-field theory (DMFT), provide a powerful framework for investigating strongly correlated materials. A central computational bottleneck in DMFT is in solving the Anderson impurity model (AIM), whose exact solution is classically intractable for large bath sizes. In this work, we develop and benchmark a quantum-classical hybrid solver tailored for DMFT applications, using the variational quantum eigensolver (VQE) to prepare the ground state of the AIM with shallow quantum circuits. The solver uses a unified ansatz framework to prepare the particle and hole excitations of the ground-state from parameter-shifted circuits, enabling the reconstruction of the impurity Green's function through a continued-fraction expansion. We evaluate the performance of this approach across a few bath sizes and interaction strengths under noisy, shot-limited conditions. We compare three optimization routines (COBYLA, Adam, and L-BFGS-B) in terms of convergence and fidelity, assess the benefits of estimating a quantum-computed moment (QCM) correction to the variational energies, and benchmark the approach by comparing the reconstructed density of states (DOS) against that obtained using a classical pipeline. Our results demonstrate the feasibility of Green's function reconstruction on near-term devices and establish practical benchmarks for quantum impurity solvers embedded within self-consistent DMFT loops.
Abstract:Quantum embedding methods, such as dynamical mean-field theory (DMFT), provide a powerful framework for investigating strongly correlated materials. A central computational bottleneck in DMFT is in solving the Anderson impurity model (AIM), whose exact solution is classically intractable for large bath sizes. In this work, we develop and benchmark a quantum-classical hybrid solver tailored for DMFT applications, using the variational quantum eigensolver (VQE) to prepare the ground state of the AIM with shallow quantum circuits. The solver uses a unified ansatz framework to prepare the particle and hole excitations of the ground-state from parameter-shifted circuits, enabling the reconstruction of the impurity Green's function through a continued-fraction expansion. We evaluate the performance of this approach across a few bath sizes and interaction strengths under noisy, shot-limited conditions. We compare three optimization routines (COBYLA, Adam, and L-BFGS-B) in terms of convergence and fidelity, assess the benefits of estimating a quantum-computed moment (QCM) correction to the variational energies, and benchmark the approach by comparing the reconstructed density of states (DOS) against that obtained using a classical pipeline. Our results demonstrate the feasibility of Green's function reconstruction on near-term devices and establish practical benchmarks for quantum impurity solvers embedded within self-consistent DMFT loops.
Quantum Physics (quant-ph); Materials Science (cond-mat.mtrl-sci)
arXiv:2601.10594 [quant-ph]
(or arXiv:2601.10594v2 [quant-ph] for this version)
Full text under the publisher's open licence · 213 words
Related coverage
Green's Functions from Sample-based Krylov Quantum Diagonalization: An Impurity Solver for Dynamical Mean-Field Theory
arXiv · Sep 9, 2026
Researchers Map Electronic Structure with Krylov Diagonalization
Quantum Zeitgeist · Oct 5, 2026
Heidelberg Team Measures Anderson Catastrophe Scaling in Polarons
Quantum Zeitgeist · Oct 5, 2026
Researchers Classically Compute Ground Energy with Polynomial Scaling
Quantum Zeitgeist · Oct 2, 2026