Quantum 2025 – wissenschaftliches Programm
Bereiche | Tage | Auswahl | Suche | Aktualisierungen | Downloads | Hilfe
FRI: Friday Contributed Sessions
FRI 2: Many-Body Quantum Dynamics III
FRI 2.1: Vortrag
Freitag, 12. September 2025, 10:45–11:00, ZHG002
Geometric speed limit of state preparation and curved control spaces — Maximilian Goll1,2 and •Robert H. Jonsson2 — 1Freie Universität Berlin, Germany — 2Nordic Institute for Theoretical Physics, Stockholm University, Sweden
The preparation of quantum many-body systems faces the difficulty that in a realistic scenario only few control parameters of the system may be accessible. In this context, an interesting conjecture was put forward by Bukov et al. in 2019, that the minimal length of any accessible state preparation protocol, as measured by the Fubini-Study metric, may lower bound the integrated energy fluctuation during any state preparation protocol.
We show that the conjecture holds if the accessible parameter space has no extrinsic curvature, when embedded into the space of all dynamically accessible states. However, we construct counter examples to the general form of the conjecture for qubits and harmonic oscillators.
[1] arXiv:2504.15175
Keywords: Quantum speed limits; Geometric quantum speed limits; Quantum state preparation