Quantum sampling on a quantum annealer for large volumes in the strong coupling limit for gauge group U(3)
- URL: http://arxiv.org/abs/2412.11677v3
- Date: Wed, 02 Apr 2025 04:18:17 GMT
- Title: Quantum sampling on a quantum annealer for large volumes in the strong coupling limit for gauge group U(3)
- Authors: Jangho Kim, Thomas Luu, Wolfgang Unger,
- Abstract summary: We make use of the D-Wave quantum annealer to generate histograms for sub-lattices, and use the Metropolis-Hastings algorithm to determine thermodynamic observables.<n>We benchmark our results to those obtained from classical Monte Carlo simulations.
- Score: 6.472397166280681
- License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
- Abstract: In our previous studies [1, 2], we confirmed that a quantum annealer can be used for importance sampling of gauge theories. In this paper, we extend the previous results to larger 2-dimensional and 4-dimensional lattices to generate ensembles for U(3) gauge theory in the strong coupling limit. We make use of the D-Wave quantum annealer to generate histograms for sub-lattices, and use the Metropolis-Hastings algorithm to determine thermodynamic observables and their dependence on the physical parameters on large volumes. We benchmark our results to those obtained from classical Monte Carlo simulations.
Related papers
- Hybrid Classical-Quantum Sampling for Lattice Scalar Field Theory [8.65552688277074]
We investigate lattice scalar field theory in two-dimensional Euclidean space via annealer.<n>We introduce quantum three schemes for rewriting quartic interaction terms through the use of auxiliary qubits.<n>We perform Monte Carlo sampling via the Metropolis-Hastings algorithm and compare the outcomes with those from classical Metropolis simulations.
arXiv Detail & Related papers (2025-06-11T08:39:09Z) - Quantum computing of chirality imbalance in SU(2) gauge theory [2.0552363908639624]
We implement a variational quantum algorithm to investigate the chiral condensate in a 1+1 dimensional SU(2) non-Abelian gauge theory.<n>The obtained results through quantum simulations on classical and actual quantum hardware are in good agreement with exact diagonalization of the lattice Hamiltonian.
arXiv Detail & Related papers (2024-11-28T02:27:35Z) - Analog Quantum Simulator of a Quantum Field Theory with Fermion-Spin Systems in Silicon [34.80375275076655]
Mapping fermions to qubits is challenging in $2+1$ and higher spacetime dimensions.
We propose a native fermion-(large-)spin analog quantum simulator by utilizing dopant arrays in silicon.
arXiv Detail & Related papers (2024-07-03T18:00:52Z) - Quantum Computation of Thermal Averages for a Non-Abelian $D_4$ Lattice
Gauge Theory via Quantum Metropolis Sampling [0.0]
We show the application of the Quantum Metropolis Sampling (QMS) algorithm to a toy gauge theory with discrete non-Abelian gauge group $D_4$ in (2+1)-dimensions.
arXiv Detail & Related papers (2023-09-13T17:05:03Z) - Universality of critical dynamics with finite entanglement [68.8204255655161]
We study how low-energy dynamics of quantum systems near criticality are modified by finite entanglement.
Our result establishes the precise role played by entanglement in time-dependent critical phenomena.
arXiv Detail & Related papers (2023-01-23T19:23:54Z) - Photonic Quantum Computing For Polymer Classification [62.997667081978825]
Two polymer classes visual (VIS) and near-infrared (NIR) are defined based on the size of the polymer gaps.
We present a hybrid classical-quantum approach to the binary classification of polymer structures.
arXiv Detail & Related papers (2022-11-22T11:59:52Z) - Simulating the Femtouniverse on a Quantum Computer [0.0]
We compute the low-lying spectrum of 4D SU(2) Yang-Mills in a finite volume using quantum simulations.
In this limit the theory is equivalent to the quantum mechanics of three interacting particles moving inside a 3-ball with certain boundary conditions.
arXiv Detail & Related papers (2022-11-20T05:09:01Z) - Towards a Quantum Simulation of Nonlinear Sigma Models with a
Topological Term [0.0]
We show that the quantum theory is massless in the strong-coupling regime.
We also highlight the limitations of current quantum algorithms, designed for noisy intermediate-scale quantum devices.
arXiv Detail & Related papers (2022-10-07T16:35:03Z) - Simulating Chern insulators on a superconducting quantum processor [24.532662078542266]
We experimentally demonstrate three types of Chern insulators with synthetic dimensions on a programable 30-qubit-ladder superconducting processor.
Our work shows the potential of using superconducting qubits for investigating different intriguing topological phases of quantum matter.
arXiv Detail & Related papers (2022-07-24T19:28:23Z) - Generation and structuring of multipartite entanglement in Josephson
parametric system [0.0]
vacuum state of a quantum field may act as a key element for the generation of multipartite quantum entanglement.
We achieve generation of genuine tripartite entangled state and its control by the use of the phase difference between two continuous pump tones.
Our scheme provides a comprehensive control toolbox for the entanglement structure and allows us to demonstrate, for first time to our knowledge, genuine quadripartite entanglement of microwave modes.
arXiv Detail & Related papers (2022-03-17T11:16:32Z) - Quantum transport and localization in 1d and 2d tight-binding lattices [39.26291658500249]
Particle transport and localization phenomena in condensed-matter systems can be modeled using a tight-binding lattice Hamiltonian.
Here, we experimentally study quantum transport in one-dimensional and two-dimensional tight-binding lattices, emulated by a fully controllable $3 times 3$ array of superconducting qubits.
arXiv Detail & Related papers (2021-07-11T12:36:12Z) - Engineering analog quantum chemistry Hamiltonians using cold atoms in
optical lattices [69.50862982117127]
We benchmark the working conditions of the numerically analog simulator and find less demanding experimental setups.
We also provide a deeper understanding of the errors of the simulation appearing due to discretization and finite size effects.
arXiv Detail & Related papers (2020-11-28T11:23:06Z) - State preparation and measurement in a quantum simulation of the O(3)
sigma model [65.01359242860215]
We show that fixed points of the non-linear O(3) sigma model can be reproduced near a quantum phase transition of a spin model with just two qubits per lattice site.
We apply Trotter methods to obtain results for the complexity of adiabatic ground state preparation in both the weak-coupling and quantum-critical regimes.
We present and analyze a quantum algorithm based on non-unitary randomized simulation methods.
arXiv Detail & Related papers (2020-06-28T23:44:12Z) - Probing the Universality of Topological Defect Formation in a Quantum
Annealer: Kibble-Zurek Mechanism and Beyond [46.39654665163597]
We report on experimental tests of topological defect formation via the one-dimensional transverse-field Ising model.
We find that the quantum simulator results can indeed be explained by the KZM for open-system quantum dynamics with phase-flip errors.
This implies that the theoretical predictions of the generalized KZM theory, which assumes isolation from the environment, applies beyond its original scope to an open system.
arXiv Detail & Related papers (2020-01-31T02:55:35Z)
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.