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quant-ph2026
Unitaria: Quantum Linear Algebra via Block Encodings
Matthias Deiml, Oliver Hüttenhofer, Ram Mosco +2
We introduce Unitaria, a Python library that brings the simplicity of classical linear algebra toolkits such as NumPy and SciPy to the implementation of quantum algorithms based on…
math.NA2026
Constrained Optimal Polynomials for Quantum Linear System Solvers
Matthias Deiml, Daniel Peterseim
Quantum linear system solvers typically realize the inverse map as a polynomial transformation of the spectrum, so their practical cost hinges on implementing this transformation a…
math.NA2026
Quantum Enhanced Numerical Homogenization
Loïc Balazi, Matthias Deiml, Daniel Peterseim
We propose a numerical homogenization method for scalar linear partial differential equations with rough coefficients that integrates classical coarse-scale solvers with quantum su…