Predicting fermionic densities using a Projected Quantum Kernel method

• URL: http://arxiv.org/abs/2504.14002v1
• Date: Fri, 18 Apr 2025 18:00:03 GMT
• Title: Predicting fermionic densities using a Projected Quantum Kernel method
• Authors: Francesco Perciavalle, Francesco Plastina, Michele Pisarra, Nicola Lo Gullo,
• Abstract summary: We use a support vector regressor based on a projected quantum kernel method to predict the density structure of 1D fermionic systems.<n>The kernel is built on with the observables of a quantum reservoir implementable with interacting Rydberg atoms.
• Score: 0.0
• License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
• Abstract: We use a support vector regressor based on a projected quantum kernel method to predict the density structure of 1D fermionic systems of interest in quantum chemistry and quantum matter. The kernel is built on with the observables of a quantum reservoir implementable with interacting Rydberg atoms. Training and test data of the fermionic system are generated using a Density Functional Theory approach. We test the performance of the method for several Hamiltonian parameters, finding a general common behavior of the error as a function of measurement time. At sufficiently large measurement times, we find that the method outperforms the classical linear kernel method and can be competitive with the radial basis function method.

Related papers

• Nuclear responses with neural-network quantum states [37.902436796793616]
  We introduce a variational Monte Carlo framework that combines neural-network quantum states with the Lorentz integral transform technique. We focus on the photoabsorption cross section of light nuclei, where benchmarks against numerically exact techniques are available.
  arXiv  Detail & Related papers  (2025-04-28T18:57:21Z)
• Computing band gaps of periodic materials via sample-based quantum diagonalization [0.046813104368264594]
  We present a quantum diagonalization (SQD) workflow for simulating the electronic ground state of periodic materials.<n>By sampling the quantum circuit and classically diagonalizing the Hamiltonian in the resulting configuration subspace, we predict the band gap energy of representative materials.
  arXiv  Detail & Related papers  (2025-03-13T21:34:02Z)
• Quantum Simulation of Nonlinear Dynamical Systems Using Repeated Measurement [42.896772730859645]
  We present a quantum algorithm based on repeated measurement to solve initial-value problems for nonlinear ordinary differential equations. We apply this approach to the classic logistic and Lorenz systems in both integrable and chaotic regimes.
  arXiv  Detail & Related papers  (2024-10-04T18:06:12Z)
• A Theory of Quantum Jumps [44.99833362998488]
  We study fluorescence and the phenomenon of quantum jumps'' in idealized models of atoms coupled to the quantized electromagnetic field. Our results amount to a derivation of the fundamental randomness in the quantum-mechanical description of microscopic systems.
  arXiv  Detail & Related papers  (2024-04-16T11:00:46Z)
• Exact Ansatz of Fermion-Boson Systems for a Quantum Device [5.915403570478968]
  An exact ansatz for the eigenstate problem of mixed fermion-boson systems can be implemented on quantum devices. Our results demonstrate that the CSE is a powerful tool in the development of quantum algorithms for solving general fermion-boson many-body problems.
  arXiv  Detail & Related papers  (2024-02-19T16:38:57Z)
• A Hyperparameter Study for Quantum Kernel Methods [0.0]
  Quantum kernel methods are a promising method in quantum machine learning thanks to the guarantees connected to them. Their accessibility for analytic considerations also opens up the possibility of prescreening datasets based on their potential for a quantum advantage. Earlier works developed the geometric difference, which can be understood as a measure between two kernel-based machine learning approaches.
  arXiv  Detail & Related papers  (2023-10-18T11:20:59Z)
• Quantum Computed Green's Functions using a Cumulant Expansion of the Lanczos Method [0.0]
  We present a quantum computational method to calculate the many-body Green's function matrix in a spin orbital basis. We demonstrate the calculation of Green's functions on Quantinuum's H1-1 trapped-ion quantum computer.
  arXiv  Detail & Related papers  (2023-09-18T11:45:04Z)
• Fermionic anyons: entanglement and quantum computation from a resource-theoretic perspective [39.58317527488534]
  We develop a framework to characterize the separability of a specific type of one-dimensional quasiparticle known as a fermionic anyon. We map this notion of fermionic-anyon separability to the free resources of matchgate circuits. We also identify how entanglement between two qubits encoded in a dual-rail manner, as standard for matchgate circuits, corresponds to the notion of entanglement between fermionic anyons.
  arXiv  Detail & Related papers  (2023-06-01T15:25:19Z)
• The Levy-Lieb embedding of density functional theory and its Quantum Kernel: Illustration for the Hubbard Dimer using near-term quantum algorithms [0.0]
  We numerically implement the Levy-Lieb procedure for a paradigmatic lattice system, the Hubbard dimer. We demonstrate density variational minimization using the resulting hybrid quantum-classical scheme.
  arXiv  Detail & Related papers  (2022-07-19T00:23:52Z)
• Bernstein-Greene-Kruskal approach for the quantum Vlasov equation [91.3755431537592]
  The one-dimensional stationary quantum Vlasov equation is analyzed using the energy as one of the dynamical variables. In the semiclassical case where quantum tunneling effects are small, an infinite series solution is developed.
  arXiv  Detail & Related papers  (2021-02-18T20:55:04Z)
• Variational Monte Carlo calculations of $\mathbf{A\leq 4}$ nuclei with an artificial neural-network correlator ansatz [62.997667081978825]
  We introduce a neural-network quantum state ansatz to model the ground-state wave function of light nuclei. We compute the binding energies and point-nucleon densities of $Aleq 4$ nuclei as emerging from a leading-order pionless effective field theory Hamiltonian.
  arXiv  Detail & Related papers  (2020-07-28T14:52:28Z)

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.