Bulletin of the American Physical Society
2023 APS March Meeting
Volume 68, Number 3
Las Vegas, Nevada (March 5-10)
Virtual (March 20-22); Time Zone: Pacific Time
Session S71: Control of Quantum Systems
8:00 AM–11:00 AM,
Thursday, March 9, 2023
Room: Room 407/408
Sponsoring
Unit:
DQI
Chair: Yiming Xu; Saeed Khan, Princeton University
Abstract: S71.00009 : A classical Hamiltonian description of the quantum brachistochrone problem*
10:00 AM–10:12 AM
Presenter:
Savvas Malikis
(Leiden University)
Author:
Savvas Malikis
(Leiden University)
Although its generality, the solution to the problem is complicated, since one has to deal with a system of coupled nonlinear ODEs.
In this talk, we show how one can rewrite the problem in the Hamiltonian formulation. This way insight can be acquired and integrable points can be identified.
Moreover, in the general/ chaotic regime, more credible claims can be made about the trade-off between the cost and the fidelity of the target unitary operation.
*This talk is part of the project Adiabatic Protocols in Extended Quantum Systems, Project No 680-91-130, which is funded by the Dutch Research Council (NWO).
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