Author

Gerhard Hellstern

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Open access Sep 2026

Quantum computing solution of the Bethe–Salpeter equation for relativistic scalar bound states via tensor-network VQE

This work presents the first entanglement quantification of the BSE amplitude in qubit encoding, establishes the Pauli Hamiltonian framework for future BSE variants, and identifies 2D Minkowski-space BSE, N-body bound states, and non-ladder kernels as physically motivated extensions where genuine quantum advantage may...

Gerhard Hellstern · European Physical Journal A · 0 citations

Jul 2026

Variational Quantum Conditional Boltzmann Machines for Time-Series Forecasting: Architectures, Symmetric Hyperparameter Evaluation, and a Nonlinear Benchmark

In this study, we developed and evaluated four conditional energy-based forecasting architectures: a classical Gaussian-Bernoulli CRBM, a hybrid quantum-classical QCRBM, a full-register QQRBM, and a lag-feature QFeatureQRBM with complete derivations of their conditional distributions, Contrastive-Divergence gradients,...

Gerhard Hellstern, Danyal Maheshwari, Martin Zaefferer et al. · arXiv.org · 0 citations