Quantifying fault tolerant simulation of strongly correlated systems using the Fermi-Hubbard model
- URL: http://arxiv.org/abs/2406.06511v2
- Date: Thu, 13 Jun 2024 14:37:11 GMT
- Title: Quantifying fault tolerant simulation of strongly correlated systems using the Fermi-Hubbard model
- Authors: Anjali A. Agrawal, Joshua Job, Tyler L. Wilson, S. N. Saadatmand, Mark J. Hodson, Josh Y. Mutus, Athena Caesura, Peter D. Johnson, Justin E. Elenewski, Kaitlyn J. Morrell, Alexander F. Kemper,
- Abstract summary: Building a holistic understanding of strongly correlated materials is critical.
Fault-tolerant quantum computers have been proposed as a path forward to overcome these difficulties.
We estimate the resource costs needed to use fault-tolerant quantum computers for obtaining experimentally relevant quantities.
- Score: 31.805673346157665
- License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
- Abstract: Understanding the physics of strongly correlated materials is one of the grand challenge problems for physics today. A large class of scientifically interesting materials, from high-$T_c$ superconductors to spin liquids, involve medium to strong correlations, and building a holistic understanding of these materials is critical. Doing so is hindered by the competition between the kinetic energy and Coulomb repulsion, which renders both analytic and numerical methods unsatisfactory for describing interacting materials. Fault-tolerant quantum computers have been proposed as a path forward to overcome these difficulties, but this potential capability has not yet been fully assessed. Here, using the multi-orbital Fermi-Hubbard model as a representative model and a source of scalable problem specifications, we estimate the resource costs needed to use fault-tolerant quantum computers for obtaining experimentally relevant quantities such as correlation function estimation. We find that advances in quantum algorithms and hardware will be needed in order to reduce quantum resources and feasibly address utility-scale problem instances.
Related papers
- Projective Quantum Eigensolver via Adiabatically Decoupled Subsystem Evolution: a Resource Efficient Approach to Molecular Energetics in Noisy Quantum Computers [0.0]
We develop a projective formalism that aims to compute ground-state energies of molecular systems accurately using Noisy Intermediate Scale Quantum (NISQ) hardware.
We demonstrate the method's superior performance under noise while concurrently ensuring requisite accuracy in future fault-tolerant systems.
arXiv Detail & Related papers (2024-03-13T13:27:40Z) - Computational supremacy in quantum simulation [22.596358764113624]
We show that superconducting quantum annealing processors can generate samples in close agreement with solutions of the Schr"odinger equation.
We conclude that no known approach can achieve the same accuracy as the quantum annealer within a reasonable timeframe.
arXiv Detail & Related papers (2024-03-01T19:00:04Z) - Quantum-centric Supercomputing for Materials Science: A Perspective on
Challenges and Future Directions [20.785521465797203]
Hard computational tasks in materials science stretch the limits of existing high-performance supercomputing centers.
Quantum computing, on the other hand, is an emerging technology with the potential to accelerate many of the computational tasks needed for materials science.
arXiv Detail & Related papers (2023-12-14T18:14:22Z) - Quantum Computing for High-Energy Physics: State of the Art and
Challenges. Summary of the QC4HEP Working Group [33.8590861326926]
This paper is led by CERN, DESY and IBM and provides the status of high-energy physics quantum computations.
We give examples for theoretical and experimental target benchmark applications, which can be addressed in the near future.
Having the IBM 100 x 100 challenge in mind, where possible, we also provide resource estimates for the examples given using error mitigated quantum computing.
arXiv Detail & Related papers (2023-07-06T18:01:02Z) - Dynamical mean-field theory for the Hubbard-Holstein model on a quantum
device [0.0]
We report a demonstration of solving the dynamical mean-field theory (DMFT) impurity problem for the Hubbard-Holstein model on the IBM 27-qubit Quantum Falcon Processor Kawasaki.
This opens up the possibility to investigate strongly correlated electron systems coupled to bosonic degrees of freedom and impurity problems with frequency-dependent interactions.
arXiv Detail & Related papers (2023-01-05T00:36:21Z) - Nuclear two point correlation functions on a quantum-computer [105.89228861548395]
We use current quantum hardware and error mitigation protocols to calculate response functions for a highly simplified nuclear model.
In this work we use current quantum hardware and error mitigation protocols to calculate response functions for a modified Fermi-Hubbard model in two dimensions with three distinguishable nucleons on four lattice sites.
arXiv Detail & Related papers (2021-11-04T16:25:33Z) - On exploring practical potentials of quantum auto-encoder with
advantages [92.19792304214303]
Quantum auto-encoder (QAE) is a powerful tool to relieve the curse of dimensionality encountered in quantum physics.
We prove that QAE can be used to efficiently calculate the eigenvalues and prepare the corresponding eigenvectors of a high-dimensional quantum state.
We devise three effective QAE-based learning protocols to solve the low-rank state fidelity estimation, the quantum Gibbs state preparation, and the quantum metrology tasks.
arXiv Detail & Related papers (2021-06-29T14:01:40Z) - Quantum-tailored machine-learning characterization of a superconducting
qubit [50.591267188664666]
We develop an approach to characterize the dynamics of a quantum device and learn device parameters.
This approach outperforms physics-agnostic recurrent neural networks trained on numerically generated and experimental data.
This demonstration shows how leveraging domain knowledge improves the accuracy and efficiency of this characterization task.
arXiv Detail & Related papers (2021-06-24T15:58:57Z) - Error mitigation and quantum-assisted simulation in the error corrected
regime [77.34726150561087]
A standard approach to quantum computing is based on the idea of promoting a classically simulable and fault-tolerant set of operations.
We show how the addition of noisy magic resources allows one to boost classical quasiprobability simulations of a quantum circuit.
arXiv Detail & Related papers (2021-03-12T20:58:41Z) - Simulation of Collective Neutrino Oscillations on a Quantum Computer [117.44028458220427]
We present the first simulation of a small system of interacting neutrinos using current generation quantum devices.
We introduce a strategy to overcome limitations in the natural connectivity of the qubits and use it to track the evolution of entanglement in real-time.
arXiv Detail & Related papers (2021-02-24T20:51:25Z) - Quantum Non-equilibrium Many-Body Spin-Photon Systems [91.3755431537592]
dissertation concerns the quantum dynamics of strongly-correlated quantum systems in out-of-equilibrium states.
Our main results can be summarized in three parts: Signature of Critical Dynamics, Driven Dicke Model as a Test-bed of Ultra-Strong Coupling, and Beyond the Kibble-Zurek Mechanism.
arXiv Detail & Related papers (2020-07-23T19:05:56Z)
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.