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quant-ph2026
Quantum algorithms for the exponentiation of Toeplitz matrices and applications in partial differential equations
Xabier Gutiérrez, Nicola Mariella, Javier González-Conde +2
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 imp…
quant-ph2026
Quantum Eigenvalue Transformations for Arbitrary Matrices
Xabier Gutiérrez, Lorenzo Laneve, Mikel Sanz
Quantum Signal Processing (QSP) and Quantum Singular Value Transformation (QSVT) provide an efficient framework for implementing polynomials of block-encoded matrices, and thus off…