3 papers
quant-ph2025
Quantum circuit simulation with a local time-dependent variational principle
Aaron Sander, Maximilian Fröhlich, Mazen Ali +6
Classical simulations of quantum circuits are vital for assessing potential quantum advantage and benchmarking devices, yet they require sophisticated methods to avoid the exponent…
cond-mat.mtrl-sci2025
SFFT-Based Homogenization: Using Tensor Trains to Enhance FFT-Based Homogenization
Sascha H. Hauck, Matthias Kabel, Mazen Ali +1
Homogenization is a fundamental technique for estimating the macroscopic properties of materials with microscale heterogeneity. Among Homogenization methods, the FFT-based Homogeni…
quant-ph2025
Piecewise Polynomial Tensor Network Quantum Feature Encoding
Mazen Ali, Matthias Kabel
This work introduces a novel method for embedding continuous variables into quantum circuits via piecewise polynomial features, utilizing low-rank tensor networks. Our approach, te…