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quant-ph2026

Lie-Algebraic Classical Simulation of Bosonic Systems Beyond Gaussian Dynamics

Adelina Bärligea, Timothy Heightman, Jakob S. Kottmann +1

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 e…

quant-ph2026

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

Timothy Heightman, Elena Orlova, Philip Mantrov +1

A central promise of useful quantum advantage is the ability to compute ground states of Hamiltonian systems beyond the reach of classical simulation methods. Here we demonstrate t…

quant-ph2026

Heisenberg-Limited Quantum Hamiltonian Learning via Randomly Spread Product-States

Bora Baran, Timothy Heightman

We show how the Heisenberg-limited quadratic Fisher-information regime of short-time quantum evolution can be made practically accessible for quantum Hamiltonian learning, using on…

quant-ph2026

Lindbladian Learning with Neural Differential Equations

Timothy Heightman, Roman Aseguinolaza Gallo, Edward Jiang +3

Inferring the dynamical generator of a many-body quantum system from measurement data is essential for the verification, calibration, and control of quantum processors. When the sy…

quant-ph2025

Quantum Machine Learning in Multi-Qubit Phase-Space Part I: Foundations

Timothy Heightman, Edward Jiang, Ruth Mora-Soto +2

Quantum machine learning (QML) seeks to exploit the intrinsic properties of quantum mechanical systems, including superposition, coherence, and quantum entanglement for classical d…

quant-ph2025

Deep Learning in Classical and Quantum Physics

Timothy Heightman, Marcin Płodzień

Scientific progress is tightly coupled to the emergence of new research tools. Today, machine learning (ML)-especially deep learning (DL)-has become a transformative instrument for…