33 papers
Basis-update and Galerkin time integration in canonical matrix-product-state form
Maximilian Fröhlich, Richard M. Milbradt, Martin Eigel +3
Matrix product state algorithms must enlarge their bond spaces as entanglement grows and compress them to control cost. We formulate basis-update and Galerkin (BUG) time integratio…
Tree Tensor Networks Methods for Efficient Calculation of Molecular Vibrational Spectra
Shuo Sun, Richard M. Milbradt, Stefan Knecht +2
The paper introduces Tree Tensor Networks for calculating molecular vibrational spectra, testing various tree architectures and eigensolvers on high‑dimensional oscillator models a…
GPU-Accelerated Host-Aware Dead-Measurement Detection in Hybrid Quantum--Classical Programs: Full Version
Yanbin Chen, Qunyou Liu, Yu Wang +2
Hybrid programs combine a quantum circuit with a classical host program that consumes measurement outcomes. In such programs, an outcome may be syntactically read by the host but s…
Is data-efficient learning feasible with quantum models?
Alona Sakhnenko, Christian B. Mendl, Jeanette M. Lorenz
The importance of analyzing nontrivial datasets when testing quantum machine learning (QML) models is becoming increasingly prominent in literature, yet a cohesive framework for un…
A Quantum Algorithm with Polylogarithmic Depth per Trotter Step for the Extended Hubbard Model
Yu Wang, Martina Nibbi, Maxine Luo +4
The extended Hubbard model on a two-dimensional lattice captures key physical phenomena, but its simulation remains challenging because long-range interactions give rise to a large…
Time Evolution on Hybrid Tensor Networks -- A Novel and Parallelizable Algorithm
Tobias V. Bauer, Richard M. Milbradt, Christian B. Mendl
We develop a novel time-evolution algorithm for matrix product states based on the recently introduced hybrid tensor network (hTN) framework. We retain the tensors close to the bou…