Efficient Fermi-Hubbard model ground-state preparation by coupling to a classical reservoir in the instantaneous-response limit
arXiv:2501.13862 · doi:10.1103/p1mq-8xbg
Abstract
Preparing the ground state of the Fermi-Hubbard model is challenging, in part due to the exponentially large Hilbert space, which complicates efficiently finding a path from an initial state to the ground state using the variational principle. In this work, we propose an approach for ground state preparation of interacting models by involving a classical reservoir, simplified to the instantaneous-response limit, which can be described using a Hamiltonian formalism. The resulting time evolution operator consist of spin-adapted nearest-neighbor hopping and on-site interaction terms similar to those in the Hubbard model, without expanding the Hilbert space. We can engineer the coupling to rapidly drive the system from an initial product state to its interacting ground state by numerically minimizing the final state energy. This ansatz closely resembles the Hamiltonian variational ansatz, offering a fresh perspective on it.
References in corpus (32)
- Quantum Computing in the NISQ era and beyond
- A variational eigenvalue solver on a quantum processor
- Variational Quantum Algorithms
- The theory of variational hybrid quantum-classical algorithms
- Noisy intermediate-scale quantum (NISQ) algorithms
- Computational complexity and fundamental limitations to fermionic quantum Monte Carlo simulations
- Shortcuts to adiabaticity: concepts, methods, and applications
- An adaptive variational algorithm for exact molecular simulations on a quantum computer
- Towards Practical Quantum Variational Algorithms
- Quantum error correction below the surface code threshold
- Quantum Simulation of Electronic Structure with Linear Depth and Connectivity
- Bounds for the adiabatic approximation with applications to quantum computation
- Floquet-engineering counterdiabatic protocols in quantum many-body systems
- Strategies for solving the Fermi-Hubbard model on near-term quantum computers
- Quantum circuits for strongly correlated quantum systems
- Quantum Monte Carlo study of the two-dimensional fermion Hubbard Model
- Quantum algorithms to simulate many-body physics of correlated fermions
- Shortcuts to Adiabaticity in Digitized Adiabatic Quantum Computing
- Efficient Long-Range Entanglement using Dynamic Circuits
- Observing ground-state properties of the Fermi-Hubbard model using a scalable algorithm on a quantum computer
- Benchmark study of the two-dimensional Hubbard model with auxiliary-field quantum Monte Carlo method
- Feedback-based quantum optimization
- Resource Estimation for Quantum Variational Simulations of the Hubbard Model
- On the order problem in construction of unitary operators for the Variational Quantum Eigensolver
- Algebraic Compression of Quantum Circuits for Hamiltonian Evolution
- Finding the ground state of the Hubbard model by variational methods on a quantum computer with gate errors
- Density-matrix-renormalization-group-based downfolding of the three-band Hubbard model: the importance of density-assisted hopping
- Variational counterdiabatic driving of the Hubbard model for ground-state preparation
- Adaptive variational preparation of the Fermi-Hubbard eigenstates
- Exploring Ground States of Fermi-Hubbard Model on Honeycomb Lattices with Counterdiabaticity
- Efficient Quantum Cooling Algorithm for Fermionic Systems
- Classical Benchmarks for Variational Quantum Eigensolver Simulations of the Hubbard Model