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QI: Fachverband Quanteninformation

QI 5: Quantum Computing and Algorithms II

QI 5.7: Talk

Tuesday, March 10, 2026, 11:30–11:45, BEY/0137

Probabilistic imaginary-time evolution on the ion-trap quantum computer — •Satoshi Ejima1,2, Kazuhiro Seki2, Benedikt Fauseweh1,3, and Seiji Yunoki2,41German Aerospace Center (DLR), Cologne, Germany — 2RIKEN, Wako, Japan — 3TU Dortmund University, Dortmund, Germany — 4RIKEN, Kobe, Japan

Imaginary-time evolution (ITE) is a classical method for projecting ground states of quantum many-body systems. Probabilistic imaginary-time evolution (PITE) adapts this idea to quantum hardware, providing a pathway to low-energy state preparation. We formulate PITE within a state-vector simulation framework and use it to optimize initial algorithm parameters.

We benchmark the approach on the spin-1/2 Heisenberg chain and the transverse-field Ising model (TFIM). With optimized parameters, the success probability quickly approaches unity within only a few iterations, and the energy expectation converges to the exact ground-state value.

Finally, we implement PITE for the TFIM on a trapped-ion device. Although hardware noise distorts raw outcomes, a simple global depolarizing model significantly improves agreement with ideal, noise-free behavior.
Reference: Phys. Rev. Research 7, 043182 (2025).

Keywords: probabilistic imaginary-time evolution; ion-trap quantum computer

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