Heisenberg picture simulation of two-dimensional dynamics and its compression

by Prof. Juan Carrasquilla (ETHZ)

Wednesday 10 Jun 2026, 10:00 → 11:00 Europe/Zurich

ODRA/111

Quantum algorithms for the dynamics of quantum systems typically require deep quantum circuits whose accuracy is compromised by noise and imperfections in near-term hardware. Thus, reducing the depth of such quantum circuits to shallower ones while retaining high accuracy is critical for quantum simulation. Variational quantum compilation methods offer a promising path forward, yet a core difficulty persists: ensuring that a variational ansatz V faithfully approximates a target unitary U. We leverage Pauli propagation techniques to develop a strategy for compressing circuits that implement the dynamics of large two-dimensional (2D) quantum systems and beyond. As a concrete demonstration, we compress the dynamics of systems up to 30 × 30 qubits and achieve up to > 1000 times improvement in accuracy that surpasses standard Trotterization methods at identical circuit depths. To experimentally validate our approach, we execute the compressed circuits on Quantinuum’s H1 quantum processor; we observe that, even with device noise, the measured physical observables are an order of magnitude more accurate than those obtained from Trotterized circuits with the same circuit depth. Our high-dimensional circuit compression scheme brings us one step closer to a practical quantum advantage by allowing longer simulation times at reduced circuit depths and unlocks the exploration of large families of hardware-friendly ansätze.