Exploring Ground States of Fermi-Hubbard Model on Honeycomb Lattices with Counterdiabaticity
arXiv:2405.09225 · doi:10.1038/s41535-024-00697-5
Abstract
Exploring the ground state properties of many-body quantum systems conventionally involves adiabatic processes, alongside exact diagonalization, in the context of quantum annealing or adiabatic quantum computation. Shortcuts to adiabaticity by counter-diabatic driving serve to accelerate these processes by suppressing energy excitations. Motivated by this, we develop variational quantum algorithms incorporating the auxiliary counterdiabatic interactions, comparing them with digitized adiabatic algorithms. These algorithms are then implemented on gate-based quantum circuits to explore the ground states of the Fermi-Hubbard model on honeycomb lattices, utilizing systems with up to 26 qubits. The comparison reveals that the counter-diabatic inspired ansatz is superior to traditional Hamiltonian variational ansatz. Furthermore, the number and duration of Trotter steps are analyzed to understand and mitigate errors. Given the model's relevance to materials in condensed matter, our study paves the way for using variational quantum algorithms with counterdiabaticity to explore quantum materials in the noisy intermediate-scale quantum era.
arXiv comment11 pages, 6 figures
References in corpus (46)
- Variational Quantum Algorithms
- Hardware-efficient Variational Quantum Eigensolver for Small Molecules and Quantum Magnets
- Barren plateaus in quantum neural network training landscapes
- Quantum computational chemistry
- Adiabatic Quantum Computing
- Quantum Chemistry in the Age of Quantum Computing
- Shortcuts to adiabaticity: concepts, methods, and applications
- An adaptive variational algorithm for exact molecular simulations on a quantum computer
- Fermionic quantum computation
- Towards Quantum Chemistry on a Quantum Computer
- Quantum algorithms for quantum chemistry and quantum materials science
- Towards Practical Quantum Variational Algorithms
- Fast optimal frictionless atom cooling in harmonic traps
- The Bravyi-Kitaev transformation for quantum computation of electronic structure
- Fermi-Hubbard physics with atoms in an optical lattice
- Digitized adiabatic quantum computing with a superconducting circuit
- Training variational quantum algorithms is NP-hard
- Absence of Barren Plateaus in Quantum Convolutional Neural Networks
- Quantum Implementation of Unitary Coupled Cluster for Simulating Molecular Electronic Structure
- Solving strongly correlated electron models on a quantum computer
- Simulating quantum many-body dynamics on a current digital quantum computer
- Minimizing irreversible losses in quantum systems by local counter-diabatic driving
- Variational quantum algorithms for discovering Hamiltonian spectra
- Diagnosing Barren Plateaus with Tools from Quantum Optimal Control
- Floquet-engineering counterdiabatic protocols in quantum many-body systems
- Strategies for solving the Fermi-Hubbard model on near-term quantum computers
- Quantum simulations of materials on near-term quantum computers
- Quantum algorithms to simulate many-body physics of correlated fermions
- Shortcuts to Adiabaticity in Digitized Adiabatic Quantum Computing
- Digitized-counterdiabatic quantum approximate optimization algorithm
- Observing ground-state properties of the Fermi-Hubbard model using a scalable algorithm on a quantum computer
- Biology and medicine in the landscape of quantum advantages
- Quantum Simulation of an Extended Fermi-Hubbard Model Using a 2D Lattice of Dopant-based Quantum Dots
- Digitized-Counterdiabatic Quantum Algorithm for Protein Folding
- Nuclear shell-model simulation in digital quantum computers
- Mechanism of Superconductivity in the Hubbard Model at Intermediate Interaction Strength
- Variational counterdiabatic driving of the Hubbard model for ground-state preparation
- Deconfinement of Mott Localized Electrons into Topological and Spin-Orbit Coupled Dirac Fermions
- Electromagnetic signatures of chiral quantum spin liquid
- Optimizing edge state transfer in a Su-Schrieffer-Heeger chain via hybrid analog-digital strategies
- Adiabatic quantum algorithm for artificial graphene
- Interaction-driven Spontaneous Ferromagnetic Insulating States with Odd Chern Numbers
- Scaling of errors in digitized counterdiabatic driving
- Improving the Performance of Digitized Counterdiabatic Quantum Optimization via Algorithm-Oriented Qubit Mapping
- Benchmarking hybrid digitized-counterdiabatic quantum optimization
- Physics-Informed Neural Networks for an optimal counterdiabatic quantum computation
Cited by in corpus (4)
- Experimental Demonstration of Break-Even for the Compact Fermionic Encoding
- High-precision and low-depth quantum algorithm design for eigenstate problems
- Digitized Counter-Diabatic Quantum Optimization for Bin Packing Problem
- Efficient Fermi-Hubbard model ground-state preparation by coupling to a classical reservoir in the instantaneous-response limit