Author

Daniel Stilck França

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Preprint Oct 2026

Improved Adaptive Estimation of Quantum Partition Functions with Heisenberg Scaling

We give quantum algorithms that estimate the log partition function of an $n$-qubit quantum Hamiltonian to additive error $\epsilon$ with Heisenberg scaling, while minimizing calls to thermal-state purification preparation. The input is a block encoding of $H$, unitaries preparing thermofield-double states at chosen in...

Yu-Fei Wang, Daniel Stilck França, Samuel Slezák · 0 citations

Preprint Oct 2026

Fast convergence of propagation algorithms for open quantum systems

We establish general conditions for the rapid convergence of propagation algorithms for computing expectation values of local observables in quantum many-body systems, covering both spin and fermionic systems. Our results apply to evolutions that are sufficiently contractive, providing a general mechanism by which cont...

Giorgio Facelli, Hamza Fawzi, Omar Fawzi et al. · 0 citations

Preprint Sep 2026

From Simple Sources to Quantum Advantage: Homomorphic Polynomial Transduction via Relative Decoding

Decoded quantum interferometry (DQI) and its Hamiltonian extension (HDQI) prepare states whose amplitudes are low-degree polynomials of an objective, using Fourier transforms and coherent decoding. We recast this approach as quantum state transduction through algebra homomorphisms. We transfer an efficiently preparable...

Zhong-Xia Shang, Daniel Stilck França · 0 citations