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MON: Monday Contributed Sessions

MON 3: Many-Body Quantum Dynamics I

MON 3.1: Vortrag

Montag, 8. September 2025, 14:15–14:30, ZHG003

Quantum circuit expectation values and real-time operator evolution via sparse Pauli dynamics — •Tomislav Begusic and Garnet Kin-Lic Chan — Division of Chemistry and Chemical Engineering, California Institute of Technology, Pasadena, California 91125, USA

We present sparse Pauli dynamics, a method for simulating quantum circuit expectation values and real-time operator evolution. We first demonstrate its performance on the example of kicked Ising model dynamics on 127 qubits, which was proposed as evidence for quantum utility of modern quantum devices. Here, we show that sparse Pauli dynamics can simulate observables orders of magnitude faster than the quantum experiment and can also be systematically converged beyond the experimental accuracy. Furthermore, we study real-time operator evolution. On the examples of energy diffusion in 1D spin chains and sudden quench dynamics in the 2D transverse-field Ising model, it is shown that this approach can compete with state-of-the-art tensor network methods. We further demonstrate the flexibility of the approach by studying quench dynamics in the 3D transverse-field Ising model which is highly challenging for tensor network methods.

Keywords: Operator evolution; Quantum dynamics; Quantum circuits; Transverse-field Ising model; Quantum quench dynamics