Quantum solver for single-impurity Anderson models with particle-hole symmetry

• URL: http://arxiv.org/abs/2601.10594v1
• Date: Thu, 15 Jan 2026 17:02:34 GMT
• Title: Quantum solver for single-impurity Anderson models with particle-hole symmetry
• Authors: Mariia Karabin, Tanvir Sohail, Dmytro Bykov, Eduardo Antonio Coello Pérez, Swarnava Ghosh, Murali Gopalakrishnan Meena, Seongmin Kim, Amir Shehata, In-Saeng Suh, Hanna Terletska, Markus Eisenbach,
• Abstract summary: A central computational bottleneck in DMFT is in solving the Anderson impurity model (AIM)<n>We develop and benchmark a quantum-classical hybrid solver tailored for DMFT applications.<n>We evaluate the performance of this approach across a few bath sizes and interaction strengths under noisy, shot-limited conditions.
• Score: 1.4222334190789556
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• 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.

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