Promotionsvortrag Physik: „Using Symmetries for Near-Term Quantum Computing“

Ankündigung des Promotionsvortrags von: Herrn Timo Eckstein

Our works [1–7] focus on algorithm development for current and near-term quantum com-

puting platforms. Symmetries, which are mathematically described by groups, divide the

full space of possibilities, the Hilbert space, into smaller sectors. If a symmetry is conserved

within an application, then one of these smaller symmetry sectors will be sufficient to model

it. Therefore, our works incorporate symmetries like translational invariance [1, 2, 5, 7],

time-periodicity [3, 4] or electron number conservation [6] to improve algorithms for relevant sys-tem classes compared to symmetry-unaware standard methods.

In the first direction, we utilise symmetries for Hamiltonian simulation, where one aims to

approximate the time evolution of a reproduced quantum system of interest on a quantum

computer and predict the time-dependent properties of the system, such as correlations. The sec-ond direction is state preparation, where one targets the recreation of a quantum

state, typically a ground state, and the prediction of its properties that are too difficult

to compute classically. The third direction is to use symmetry for the reduction of statistical uncer-tainty of quantum estimators, which are computed from measured bitstring values at the end of a quantum computation.

[1] Quantum Computing Theory in Practice 2025 (Freie Universität Berlin, 2025).

[2] arXiv:2410.21251 (2024).

[3] Quantum Computing Theory in Practice 2024 (University of Edinburgh, 2024).

[4] npj Quantum Information 10, 84 (2024).

[5] Quantum Science and Technology 8, 025006 (2023).

[6] Quantum Science and Technology 10, 015066 (2025).

[7] arXiv:2506.09028 (2025).

(Vortrag auf Englisch)

Dem Vortrag schließt sich eine Diskussion von 15 Minuten an. Vortrag und Diskussion sind öffentlich. Diesen Verfahrensteilen folgt ein nicht öffentliches Rigorosum von 45 Minuten.