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Digital-Analog Quantum Simulation of Fermionic Models

2023; American Physical Society; Volume: 19; Issue: 6 Linguagem: Inglês

10.1103/physrevapplied.19.064086

2331-7043

Lucas C. Céleri, Daniel Huerga, F. Albarrán-Arriagada, E. Solano, Mikel Garcia de Andoin, Mikel Sanz,

Quantum Information and Cryptography

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.