Author

D. Ahn

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Preprint Oct 2026

Sample-Based Quantum Linear Solver and Bounds on Krylov-State Sampling

To solve linear systems $Ax=b$, we propose a sample-based quantum linear solver combining quantum Krylov-state sampling with classical variational diagonalization. Rather than simulating the cost Hamiltonian $H_b(A)=A^\dagger(I-|b\rangle\langle b|)A$, we measure quantum Krylov states $e^{-iAT}|b\rangle$ generated by th...

Byeongyong Park, Keunhong Jeong, D. Ahn · 1 citation

Preprint Jul 2026

Code-space recovery for sample-based quantum diagonalization beyond native symmetry constraints

Despite increased circuit overhead, code-space recovery yields lower projected Ritz energies than unencoded sample-support diagonalization even at smaller projected-basis dimensions, suggesting that engineered recoverable structure can extend SQD beyond native constraints.

Byeongyong Park, Sanha Kang, D. Ahn et al. · 1 citation