Digital-analog quantum simulation of fermionic models

• URL: http://arxiv.org/abs/2103.15689v2
• Date: Thu, 11 May 2023 20:09:38 GMT
• Title: Digital-analog quantum simulation of fermionic models
• Authors: Lucas C. C\'eleri, Daniel Huerga, Francisco Albarr\'an-Arriagada, Enrique Solano, Mikel Garcia de Andoin and Mikel Sanz
• Abstract summary: We introduce a digital-analog quantum algorithm to simulate a wide class of fermionic Hamiltonians. These methods allow quantum algorithms to run beyond digital versions via an efficient use of coherence time.
• Score: 0.0
• License: http://creativecommons.org/licenses/by/4.0/
• Abstract: Simulating quantum many-body systems is a highly demanding task since the required resources grow exponentially with the dimension of the system. In the case of fermionic systems, this is even harder since nonlocal interactions emerge due to the antisymmetric character of the fermionic wave function. Here, we introduce a digital-analog quantum algorithm to simulate a wide class of fermionic Hamiltonians including the paradigmatic one-dimensional Fermi-Hubbard model. These digital-analog methods allow quantum algorithms to run beyond digital versions via an efficient use of coherence time. Furthermore, we exemplify our techniques with a low-connected architecture for realistic digital-analog implementations of specific fermionic models.

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