Variational Quantum Eigensolver for SU($N$) Fermions

Abstract

Variational quantum algorithms aim at harnessing the power of noisy intermediate-scale quantum computers, by using a classical optimizer to train a parameterized quantum circuit to solve tractable quantum problems. The variational quantum eigensolver is one of the aforementioned algorithms designed to determine the ground-state of many-body Hamiltonians. Here, we apply the variational quantum eigensolver to study the ground-state properties of $N$-component fermions. With such knowledge, we study the persistent current of interacting SU($N$) fermions, which is employed to reliably map out the different quantum phases of the system. Our approach lays out the basis for a current-based quantum simulator of many-body systems that can be implemented on noisy intermediate-scale quantum computers.

arXiv comment24 pages, 8 figures

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• Optimization strategies in WAHTOR algorithm for quantum computing empirical ansatz: a comparative study
• Exploring thermal equilibria of the Fermi-Hubbard model with variational quantum algorithms
• A recipe for local simulation of strongly-correlated fermionic matter on quantum computers: the 2D Fermi-Hubbard model
• Static impurity in a mesoscopic system of SU($N$) fermionic matter-waves
• Many-body thermal states on a quantum computer: a variational approach