Digital-analog quantum computing of fermion-boson models in superconducting circuits

• URL: http://arxiv.org/abs/2308.12040v4
• Date: Fri, 21 Mar 2025 10:44:41 GMT
• Title: Digital-analog quantum computing of fermion-boson models in superconducting circuits
• Authors: Shubham Kumar, Narendra N. Hegade, Anne-Maria Visuri, B. A. Bhargava, Juan F. R. Hernandez, Enrique Solano, Francisco Albarrán-Arriagada, Gabriel Alvarado Barrios,
• Abstract summary: We propose a digital-analog quantum algorithm for simulating the Hubbard-Holstein model.<n>It comprises a linear chain of qubits connected by resonators, emulating electron-electron (e-e) and electron-phonon (e-p) interactions.<n>We show the reduction in the circuit depth of the DAQC algorithm, a sequence of digital steps and analog blocks, outperforming the purely digital approach.
• Score: 0.9674145073701153
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• Abstract: High-fidelity quantum simulations demand hardware-software co-design architectures, which are crucial for adapting to complex problems such as strongly correlated dynamics in condensed matter. By leveraging co-design strategies, we can enhance the performance of state-of-the-art quantum devices in the noisy intermediate quantum (NISQ) and early error-correction regimes. In this direction, we propose a digital-analog quantum algorithm for simulating the Hubbard-Holstein model, describing strongly-correlated fermion-boson interactions, in a suitable architecture with superconducting circuits. It comprises a linear chain of qubits connected by resonators, emulating electron-electron (e-e) and electron-phonon (e-p) interactions, as well as fermion tunneling. Our approach is adequate for digital-analog quantum computing (DAQC) of fermion-boson models, including those described by the Hubbard-Holstein model. We show the reduction in the circuit depth of the DAQC algorithm, a sequence of digital steps and analog blocks, outperforming the purely digital approach. We exemplify the quantum simulation of a half-filled two-site Hubbard-Holstein model. In this example, we obtain time-dependent state fidelities larger than 0.98, showing that our proposal is suitable for studying the dynamical behavior of solid-state systems. Our proposal opens the door to computing complex systems for chemistry, materials, and high-energy physics.

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