Quantum Simulation of Strongly Correlated Fermion-Phonon Models in Circuit QED

• URL: http://arxiv.org/abs/2607.11516v1
• Date: Mon, 13 Jul 2026 13:04:00 GMT
• Title: Quantum Simulation of Strongly Correlated Fermion-Phonon Models in Circuit QED
• Abstract summary: Gate-based digital quantum simulations offer an exciting new paradigm for studying the many-body physics of strongly correlated systems.<n>We build quantum circuits for the Hubbard-Holstein and Yukawa-Sachdev-Ye-Kitaev models.<n>We develop measurement and variational protocols tailored to near-term superconducting quantum hardware.
• Score: 33.77861374919934
• License: http://creativecommons.org/licenses/by/4.0/
• Abstract: Gate-based digital quantum simulations offer an exciting new paradigm for studying the many-body physics of strongly correlated systems. In this context, electron-phonon models are challenging for qubit-only quantum simulators, as bosonic degrees of freedom require costly finite-dimensional encodings. Here, we elaborate on an alternative approach based on a digital-analog circuit QED architecture, where fermions are encoded in transmon qubits while bosons are represented directly by microwave resonators. The central building block of this framework is a qubit-resonator Rabi gate that emulates strong electron-phonon coupling and can be implemented through a sequence of resonant Jaynes-Cummings gates interleaved with layers of single-qubit rotations. Using this Rabi gate as the fundamental unitary operation, we construct quantum circuits for the Hubbard-Holstein and Yukawa-Sachdev-Ye-Kitaev models, which describe, respectively, strongly correlated electrons coupled to phonons and phonon-mediated interactions among Majorana fermions. We further demonstrate how nonclassical phonon physics and signatures of quantum chaos in these models can be probed through circuit simulations, and develop measurement and variational protocols tailored to near-term superconducting quantum hardware.

Related papers

• Digital Quantum Simulation of the Holstein-Primakoff Transformation on Noisy Qubits [40.8066152850216]
  We study the digital quantum simulation of bosonic modes on a cloud-based superconducting quantum processor.<n>We examine the interplay between algorithmic and hardware-induced errors to identify optimal simulation parameters.
  arXiv  Detail & Related papers  (2026-02-19T20:14:04Z)
• Qumode-Based Variational Quantum Eigensolver for Molecular Excited States [43.148034499498586]
  We introduce the Qumode Subspace Variational Quantum Eigensolver (QSS-VQE), a hybrid quantum-classical algorithm for computing molecular excited states.<n>We demonstrate the performance of QSS-VQE through simulations of molecular excited states, including dihydrogen and a conical intersection in cytosine.
  arXiv  Detail & Related papers  (2025-09-05T00:53:51Z)
• Quantum algorithms for simulating systems coupled to bosonic modes using a hybrid resonator-qubit quantum computer [2.272870024021355]
  We discuss quantum algorithms to solve composite systems by augmenting conventional superconducting qubits with microwave resonators used as computational elements.<n>We derive efficient algorithms for typical models and propose a device connectivity that allows for feasible scaling of simulations with linear overhead.<n>Results present the first digital quantum simulation including a computational resonator on a commercial quantum platform.
  arXiv  Detail & Related papers  (2025-03-14T15:29:41Z)
• Quantum circuits for digital quantum simulation of nonlocal electron-phonon coupling [0.0]
  We propose a digital quantum simulator of a one-dimensional lattice model describing an itinerant fermionic excitation. A circuit that generates the natural initial (pre-quench) state of this system is presented.
  arXiv  Detail & Related papers  (2024-10-10T17:07:57Z)
• Toward hybrid quantum simulations with qubits and qumodes on trapped-ion platforms [0.0]
  We explore the feasibility of gate-based hybrid quantum computing using both discrete (qubit) and continuous (qumode) variables on trapped-ion platforms.<n>We show that high-fidelity hybrid gates and measurement operations can be achieved for existing trapped-ion quantum platforms.
  arXiv  Detail & Related papers  (2024-10-09T18:01:15Z)
• Simulating electronic structure on bosonic quantum computers [34.84696943963362]
  We propose an approach to map the electronic Hamiltonian into a qumode bosonic problem that can be solved on bosonic quantum devices.<n>This work establishes a new pathway for simulating many-fermion systems, highlighting the potential of hybrid qubit-qumode quantum devices.
  arXiv  Detail & Related papers  (2024-04-16T02:04:11Z)
• Digital-analog quantum computing of fermion-boson models in superconducting circuits [0.9674145073701153]
  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.
  arXiv  Detail & Related papers  (2023-08-23T10:01:05Z)
• A Hybrid Quantum-Classical Method for Electron-Phonon Systems [40.80274768055247]
  We develop a hybrid quantum-classical algorithm suitable for this type of correlated systems. This hybrid method tackles with arbitrarily strong electron-phonon coupling without increasing the number of required qubits and quantum gates. We benchmark the new method by applying it to the paradigmatic Hubbard-Holstein model at half filling, and show that it correctly captures the competition between charge density wave and antiferromagnetic phases.
  arXiv  Detail & Related papers  (2023-02-20T08:08:51Z)
• Quantum emulation of the transient dynamics in the multistate Landau-Zener model [50.591267188664666]
  We study the transient dynamics in the multistate Landau-Zener model as a function of the Landau-Zener velocity. Our experiments pave the way for more complex simulations with qubits coupled to an engineered bosonic mode spectrum.
  arXiv  Detail & Related papers  (2022-11-26T15:04:11Z)
• Trapped Ions as an Architecture for Quantum Computing [110.83289076967895]
  We describe one of the most promising platforms for the construction of a universal quantum computer. We discuss from the physics involved in trapping ions in electromagnetic potentials to the Hamiltonian engineering needed to generate a universal set of logic gates.
  arXiv  Detail & Related papers  (2022-07-23T22:58:50Z)
• Recompilation-enhanced simulation of electron-phonon dynamics on IBM Quantum computers [62.997667081978825]
  We consider the absolute resource cost for gate-based quantum simulation of small electron-phonon systems. We perform experiments on IBM quantum hardware for both weak and strong electron-phonon coupling. Despite significant device noise, through the use of approximate circuit recompilation we obtain electron-phonon dynamics on current quantum computers comparable to exact diagonalisation.
  arXiv  Detail & Related papers  (2022-02-16T19:00:00Z)
• Simulating the Mott transition on a noisy digital quantum computer via Cartan-based fast-forwarding circuits [62.73367618671969]
  Dynamical mean-field theory (DMFT) maps the local Green's function of the Hubbard model to that of the Anderson impurity model. Quantum and hybrid quantum-classical algorithms have been proposed to efficiently solve impurity models. This work presents the first computation of the Mott phase transition using noisy digital quantum hardware.
  arXiv  Detail & Related papers  (2021-12-10T17:32:15Z)

This list is automatically generated from the titles and abstracts of the papers in this site.

This site does not guarantee the quality of this site (including all information) and is not responsible for any consequences.