Author

Adrian Chapman

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Preprint Oct 2026

A graph-theoretic analysis of non-generic free-fermion solvability by Krylov decompositions

Exactly solvable models are often identified from structural features of their interactions. For quantum spin Hamiltonians, these are captured by the frustration graph of anticommuting Pauli terms. The frustration graph characterizes broad families of spin models that map to free fermions for arbitrary, or generic, val...

Jannis Ruh, Samuel J. Elman, Adrian Chapman · 0 citations

Preprint Oct 2026

Single-Particle Spectral Estimation

We study Hamiltonian learning in a novel setting, where we are promised a physical structure that is obfuscated by a global unitary. In particular, we consider the task of learning the weights $E_i$ of a Hamiltonian $H=U^{\dagger}(\sum_{i \in I} E_i n_i + H_O)U$ comprised of a set of non-interacting modes $I$ and an ar...

Adrian Chapman, Charles Derby, Steve Flammia et al. · 0 citations