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This is a Quantitative Study study.

October 9, 2025Open Access

Quantum block Krylov subspace projector algorithm for computing low-lying eigenenergies

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The QBKSP algorithm improves convergence for eigenenergy computation in quantum systems, highlighting multiple reference states.

The QBKSP algorithm enhances eigenenergy calculations using multiple reference states, leading to improved convergence.
Numerical simulations indicate that using various initial reference states optimizes performance in precision-limited scenarios.
Compact quantum circuits are tailored for distinct problem settings to compute expectation values essential for eigenenergies.
The QBKSP method successfully computes degenerate eigenstates and their multiplicities by applying proper convergence conditions.

Oliveira et al. (2025) studied this question.

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