Author

Nicolás Bonilla Vargas

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Preprint Aug 2026

Captured weight and boundary leakage bound the error of sample-based spectral functions

Sample-based quantum diagonalization builds a subspace from a device's measured bitstrings. From one protocol -- computational-basis samples of a real-time evolved probe, no Hadamard test -- we reconstruct the single-particle $A(\omega)$ and $A(k,\omega)$ of the 1D Hubbard model on that subspace. We prove that for Rayl...

Nicolás Bonilla Vargas · 2 citations

Preprint Aug 2026

Dynamical spectral functions from bitstring-sampled quantum subspaces: entanglement, not one-body magic, tracks the sampling cost

Sample-based quantum diagonalization (SQD) and quantum-selected configuration interaction (QSCI) are the electronic-structure methods with most hardware traction, yet their canonical target -- the ground-state energy -- is where classical methods have caught up. We move the target to dynamics and the resource question....

Nicolás Bonilla Vargas · 1 citation

Review Aug 2026

Machine learning for sample-based quantum diagonalization: a review of generative configuration recovery and the classical-simulability frontier

This work confronts the field's central question -- whether the quantum sampler beats classical selected configuration interaction -- and reports a carefully scoped negative, and flags learning from quantum experiments, whose classical sample-complexity lower bound is an unconditional theorem, as the one adjacent front...

Nicolás Bonilla Vargas · 2 citations