Bulletin of the American Physical Society
APS March Meeting 2021
Volume 66, Number 1
Monday–Friday, March 15–19, 2021; Virtual; Time Zone: Central Daylight Time, USA
Session S33: Novel Quantum Control Techniques
11:30 AM–2:30 PM,
Thursday, March 18, 2021
Sponsoring
Unit:
DQI
Chair: Aurelia Chenu, University of Luxembourg
Abstract: S33.00014 : Measurement-driven navigation in many-body Hilbert space*
2:06 PM–2:18 PM
Live
Presenter:
Yaroslav Herasymenko
(Leiden University)
Authors:
Yaroslav Herasymenko
(Leiden University)
Igor Gornyi
(Karlsruhe Institute of Technology)
Yuval Gefen
(Weizmann Institute of Science)
We study the potential of such active measurement-driven control as applied to many-body state preparation. For advantageous decision-making, we offer Hilbert space orientation techniques, comparable to those used in navigation. The first such method is to orient the active protocol towards the maximization of a cost function, such as the target state fidelity. We show the potential of an O(10)-fold speedup applying this approach to AKLT states of 3-6 spins. The complementary technique is to map out the measurement actions onto a quantum version of Finite State Machine. A decision-making protocol can be based on such representation, using semiclassical heuristics. We give an example of the W-state preparation, which can be accelerated with this method by a factor of O(10).
*We acknowledge funding by the German Research Foundation (DFG), the Dutch Research Council (NWO), and the Israel Science Foundation (ISF).
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