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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

We present a gate-based quantum computing solution of the homogeneous Bethe–Salpeter equation (hBSE) for the bound state of two massive relativistic scalar particles interacting via ladder-approximation scalar exchange. After Wick rotation to Euclidean space and O(4) S-wave partial-wave projection, the hBSE is reduced...

Gerhard Hellstern · 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. · 0 citations

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