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

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.

6+5 Pages, 5+2 Figures, 1 Table

References in corpus (9)

• The density-matrix renormalization group in the age of matrix product states
• Repulsively bound atom pairs in an optical lattice
• Nonequilibrium dynamics of the Holstein polaron driven by external electric field
• Witnessing the formation and relaxation of massive quasi-particles in a strongly correlated electron system
• Field-induced polaron formation in the Holstein-Hubbard model
• Fermionic Models with Superconducting Circuits
• Experimental observation of repulsively bound magnons
• Dynamical mean-field theory for the Hubbard-Holstein model on a quantum device
• Digital-analog co-design of the Harrow-Hassidim-Lloyd algorithm

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• Digital quantum simulation of bosonic systems and quantum complementarity