Bulletin of the American Physical Society
APS March Meeting 2023
Las Vegas, Nevada (March 5-10)
Virtual (March 20-22); Time Zone: Pacific Time
Session Q71: Quantum Optimal Control and Gate Synthesis
3:00 PM–6:00 PM,
Wednesday, March 8, 2023
Room: Room 407/408
Sponsoring
Unit:
DQI
Chair: Gaurav Bhole, Princeton University
Abstract: Q71.00007 : A globally convergent approach for quantum control and system identification*
4:12 PM–4:48 PM
Presenter:
Denys I Bondar
(Tulane University)
Authors:
Denys I Bondar
(Tulane University)
Kurt Jacobs
(United States Army Research Laboratory)
Georgios Korpas
(HSBC Lab, Digital Parnerships & Innovation)
Jakub Marecek
(Czech Technical University in Prague)
Zakhar Popovych
(Tulane University)
Jiri Vala
(Maynooth University)
We also show that the problem of obtaining Hamiltonians, Markovian master equations, and Kraus maps for quantum systems from noisy time-series can be reduced to that of polynomial optimization. The importance of this fact is that this special class of optimization problems is essentially solved: sophisticated methods have been devised that will find the global optimum, and gradient search methods can often do so as well. For closed systems the polynomial is quadratic and can be solved directly. For open systems multiple formulations are possible. We illustrate the power of these methods by inferring novel Lindblad master equations from ab into simulations of a qubit coupled to a bosonic bath.
*ARO grant W911NF-19-1-0377 and cooperative agreement W911NF-21-2-0139. VVV project CZ.02.1.01/0.0/0.0/16 019/0000765 ``Research Center for Informatics". This paper was prepared for information purposes, and is not a product of HSBC Bank Plc. or its affiliates. Neither HSBC Bank Plc. nor any of its affiliates make any explicit or implied representation or warranty.
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