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

• URL: http://arxiv.org/abs/2308.12040v2
• Date: Mon, 4 Sep 2023 14:42:18 GMT
• Title: Digital-analog quantum computing of fermion-boson models in superconducting circuits
• Authors: Shubham Kumar, Narendra N. Hegade, Enrique Solano, Francisco Albarr\'an-Arriagada, and Gabriel Alvarado Barrios
• Abstract summary: We propose a digital-analog quantum algorithm for simulating strongly-correlated fermion-boson interactions. 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. Our proposal opens the door to computing complex systems for chemistry, materials, and high-energy physics.
• Score: 1.1650821883155187
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• Abstract: 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 a 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-filling two-site Hubbard-Holstein model. In such example we obtain fidelities larger than 0.98, showing that our proposal is suitable to study 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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