Author

Sergiy Zhuk

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Preprint Sep 2026

Quantum algorithms for the exponentiation of Toeplitz matrices and applications in partial differential equations

We present quantum algorithms to approximate the exponential of banded Toeplitz matrices. These matrices have central importance in many PDE related problems, but their quantum implementation is hindered by their possibly large norms. Constructing directly the exponential we can circumvent this limitation. By relating...

Xabier Gutiérrez, Nicola Mariella, Javier Gonzalez-Conde et al. · 0 citations

Preprint Sep 2026

Lindblad Multiproduct Formulas

We introduce Lindblad Multiproduct Formulas: a quantum error mitigation technique that uses two-dimensional tensor networks contracted with loop-corrected belief propagation. The quantities required to implement the error mitigation scheme that are evaluated with tensor networks can be less computationally expensive to...

Niall F. Robertson, Andrea D'Urbano, Anton Dekusar et al. · 1 citation