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quant-ph2026
Tackling instabilities of quantum Krylov subspace methods: an analysis of the numerical and statistical errors
Maria Gabriela Jordão Oliveira, Karl Michael Ziems, Nina Glaser
Krylov subspace methods are among the most extensively studied early fault-tolerant quantum algorithms for estimating ground-state energies of quantum systems. However, the rapid o…
quant-ph2025
Quantum block Krylov subspace projector algorithm for computing low-lying eigenenergies
Maria Gabriela Jordão Oliveira, Nina Glaser
Computing eigenvalues is a computationally intensive task central to numerous applications in the natural sciences. Toward this end, we investigate the quantum block Krylov subspac…