Author

Timothy Heightman

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Preprint Aug 2026

Lie-Algebraic Classical Simulation of Bosonic Systems Beyond Gaussian Dynamics

Classical simulability is ultimately determined by both the dynamics of a quantum system and the observables being evaluated. Lie-algebraic simulation exploits the latter to make exact polynomial-time classical simulations by propagating observables through low-dimensional invariant operator spaces. However, its conven...

Adelina Bärligea, Timothy Heightman, Jakob S. Kottmann et al. · 0 citations

#artificial intelligence Preprint Sep 2026

Topology Obstructs Pure Foundation Neural Quantum States

Foundation models for ground states in spin-1/2 systems are a promising method for problems ranging from quantum chemistry to identifying new phase diagrams. Nearly all such models are currently pure-states that condition on the Hamiltonian's parameters, whose Monte Carlo samples give energy estimates according to the...

Timothy Heightman, Elena Orlova, Philip Mantrov et al. · 0 citations

Preprint Aug 2026

Hamilton-Zero: A Neural Tensor-Network Foundation Model for Ground States of Arbitrary Quadratic Qubit Hamiltonians

It is demonstrated that this problem can be effectively amortized across an arbitrary and universal set of Hamiltonians by a foundation model with $\sim0.5$B variational parameters, trained with contemporary techniques from large language models and deep reinforcement learning.

Timothy Heightman, Elena Orlova, Philip Mantrov et al. · 1 citation · ⚡1