Variational Quantum Eigensolver for SU($N$) Fermions

• URL: http://arxiv.org/abs/2106.15552v3
• Date: Sat, 2 Apr 2022 15:44:00 GMT
• Title: Variational Quantum Eigensolver for SU($N$) Fermions
• Authors: Mirko Consiglio, Wayne J. Chetcuti, Carlos Bravo-Prieto, Sergi Ramos-Calderer, Anna Minguzzi, Jos\'e I. Latorre, Luigi Amico, Tony J. G. Apollaro
• Abstract summary: Variational quantum algorithms aim at harnessing the power of noisy intermediate-scale quantum computers. We apply the variational quantum eigensolver to study the ground-state properties of $N$-component fermions. Our approach lays out the basis for a current-based quantum simulator of many-body systems.
• Score: 0.0
• License: http://creativecommons.org/licenses/by/4.0/
• 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.

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