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math.NA2025
Quantum Circuit Encodings of Polynomial Chaos Expansions
Junaid Aftab, Christoph Schwab, Haizhao Yang +1
This work investigates the expressive power of quantum circuits in approximating high-dimensional, real-valued functions. We focus on countably-parametric holomorphic maps $u:U\to…
math.NA2025
Sparsity for Infinite-Parametric Holomorphic Functions on Gaussian Spaces
Carlo Marcati, Christoph Schwab, Jakob Zech
We investigate the sparsity of Wiener polynomial chaos expansions of holomorphic maps on Gaussian Hilbert spaces, as arise in the coefficient-to-solution maps of line…