1 citations · 1 across the 3 of their papers we have counts for
4 papers
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…
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…
Quantum statistical effects in one-particle densities: scattering and pair production
X. Gutiérrez de la Cal, M. Alkhateeb, M. Pons +2
We study space-time resolved densities of particle-hole pairs produced by an external time-dependent field acting on non-interacting non-relativistic particles. It is shown that, a…
Quantum measurements and delays in scattering by zero-range potentials
X. Gutiérrez de la Cal, M. Pons, D. Sokolovski
Eisenbud-Wigner-Smith delay and the Larmor time give different estimates for the duration of a quantum scattering event. The difference is most pronounced in the case where de-Brog…