Improving neural network performance for solving quantum sign structure
- URL: http://arxiv.org/abs/2510.02051v1
- Date: Thu, 02 Oct 2025 14:24:28 GMT
- Title: Improving neural network performance for solving quantum sign structure
- Authors: Xiaowei Ou, Tianshu Huang, Vidvuds Ozolins,
- Abstract summary: We introduce a modified method that effectively uses differing imaginary time steps to evolve the amplitude and phase.<n>Using a larger time step for phase reconfiguration, this method enables a simultaneous and efficient training of phase and amplitude neural networks.
- Score: 0.4806505912512236
- License: http://creativecommons.org/licenses/by-sa/4.0/
- Abstract: Neural quantum states have emerged as a widely used approach to the numerical study of the ground states of non-stoquastic Hamiltonians. However, existing approaches often rely on a priori knowledge of the sign structure or require a separately pre-trained phase network. We introduce a modified stochastic reconfiguration method that effectively uses differing imaginary time steps to evolve the amplitude and phase. Using a larger time step for phase optimization, this method enables a simultaneous and efficient training of phase and amplitude neural networks. The efficacy of our method is demonstrated on the Heisenberg J_1-J_2 model.
Related papers
- Polylogarithmic-Depth Quantum Algorithm for Simulating the Extended Hubbard Model on a Two-Dimensional Lattice Using the Fast Multipole Method [2.0463843653867158]
We present an efficient quantum algorithm for simulating the time evolution of the extended Hubbard model on a two-dimensional lattice.<n>We discuss how to leverage advances in two-dimensional neutral atom quantum computing, supporting non-local operations such as long-range gates and shuttling.
arXiv Detail & Related papers (2025-12-03T15:48:08Z) - Link prediction with swarms of chiral quantum walks [0.0]
Reconstructing protein-protein interaction networks is a central challenge in network medicine.<n>Recent studies suggest that quantum walk-based approaches hold promise for this task.<n>We build on these algorithms by introducing chirality through the addition of random phases in the Hamiltonian generators.
arXiv Detail & Related papers (2025-11-18T14:10:45Z) - Utilization of SU(2) Symmetry for Efficient Simulation of Quantum Systems [0.0]
This work investigates variational compilation methods for simulating quantum systems with internal SU(2) symmetry.<n>The central component of the research is the application of the Dynamic Mode Decomposition (DMD) method to extrapolate trained variational circuit parameters.<n>An approach is proposed for predicting variationally compiled quantum states with a larger number of Trotter steps using extrapolated parameters, eliminating the need for retraining.
arXiv Detail & Related papers (2025-06-23T16:17:56Z) - Learning Optical Flow Field via Neural Ordinary Differential Equation [44.16275288019991]
Recent works on optical flow estimation use neural networks to predict the flow field that maps positions of one image to positions of the other.<n>We introduce a novel approach for predicting the derivative of the flow using a continuous model, namely neural ordinary differential equations (ODE)
arXiv Detail & Related papers (2025-06-03T18:30:14Z) - Efficiency of Dynamical Decoupling for (Almost) Any Spin-Boson Model [44.99833362998488]
We analytically study the dynamical decoupling of a two-level system coupled with a structured bosonic environment.<n>We find sufficient conditions under which dynamical decoupling works for such systems.<n>Our bounds reproduce the correct scaling in various relevant system parameters.
arXiv Detail & Related papers (2024-09-24T04:58:28Z) - Scalable Imaginary Time Evolution with Neural Network Quantum States [0.0]
The representation of a quantum wave function as a neural network quantum state (NQS) provides a powerful variational ansatz for finding the ground states of many-body quantum systems.
We introduce an approach that bypasses the computation of the metric tensor and instead relies exclusively on first-order descent with Euclidean metric.
We make this method adaptive and stable by determining the optimal time step and keeping the target fixed until the energy of the NQS decreases.
arXiv Detail & Related papers (2023-07-28T12:26:43Z) - Tensor Networks or Decision Diagrams? Guidelines for Classical Quantum
Circuit Simulation [65.93830818469833]
tensor networks and decision diagrams have independently been developed with differing perspectives, terminologies, and backgrounds in mind.
We consider how these techniques approach classical quantum circuit simulation, and examine their (dis)similarities with regard to their most applicable abstraction level.
We provide guidelines for when to better use tensor networks and when to better use decision diagrams in classical quantum circuit simulation.
arXiv Detail & Related papers (2023-02-13T19:00:00Z) - Quantum algorithms for quantum dynamics: A performance study on the
spin-boson model [68.8204255655161]
Quantum algorithms for quantum dynamics simulations are traditionally based on implementing a Trotter-approximation of the time-evolution operator.
variational quantum algorithms have become an indispensable alternative, enabling small-scale simulations on present-day hardware.
We show that, despite providing a clear reduction of quantum gate cost, the variational method in its current implementation is unlikely to lead to a quantum advantage.
arXiv Detail & Related papers (2021-08-09T18:00:05Z) - Neural networks for on-the-fly single-shot state classification [0.0]
We investigate the application of neural networks to state classification in a single-shot quantum measurement.
Our method is ready for on-the-fly data processing without overhead or need for large data transfer to a hard drive.
arXiv Detail & Related papers (2021-07-13T05:29:59Z) - Parallelization Techniques for Verifying Neural Networks [52.917845265248744]
We introduce an algorithm based on the verification problem in an iterative manner and explore two partitioning strategies.
We also introduce a highly parallelizable pre-processing algorithm that uses the neuron activation phases to simplify the neural network verification problems.
arXiv Detail & Related papers (2020-04-17T20:21:47Z) - Interpolation Technique to Speed Up Gradients Propagation in Neural ODEs [71.26657499537366]
We propose a simple literature-based method for the efficient approximation of gradients in neural ODE models.
We compare it with the reverse dynamic method to train neural ODEs on classification, density estimation, and inference approximation tasks.
arXiv Detail & Related papers (2020-03-11T13:15:57Z)
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.