Work

Recursive relations and quantum eigensolver algorithms within modified Schrieffer-Wolff transformations for the Hubbard dimer

Year: 2023

Type: article

Abstract: We derive recursive relations for the Schrieffer-Wolff (SW) transformation applied to the half-filled Hubbard dimer. While the standard SW transformation is set to block-diagonalize the transformed Hamiltonian solely at the first order of perturbation, we infer from recursive relations two types of modifications, variational or iterative, that approximate, or even enforce for the homogeneous case, the desired block-diagonalization at infinite order of perturbation. The modified SW unitary transformations are then used to design an test quantum algorithms adapted to the noisy and fault-tolerant era. This work paves the way toward the design of alternative quantum algorithms for the general Hubbard Hamiltonian.

Source: Physical review. B./Physical review. B

DOI: 10.1103/physrevb.107.155110

Authors: Quentin Marécat, Bruno Senjean, Matthieu Saubanère

Institutions: École Nationale Supérieure de Chimie de Montpellier, Centre National de la Recherche Scientifique, Université de Montpellier, Institut Charles Gerhardt Montpellier

Language: English

Topic: Quantum Computing Algorithms and Architecture

Subfield: Artificial Intelligence

Field: Computer Science

Domain: Physical Sciences

Open Access status: green

Funder: Agence Nationale de la Recherche

Awards: DESigning Correlated And Reduced Theories for Electronic Structures, G3010527862