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Abolghasem Daeichian

Abolghasem Daeichian

Academic rank: Associate Professor
ORCID: https://orcid.org/0000-0002-6318-579X
Education: PhD.
ScopusId: 55916844500
Faculty: Engineering
Address: Arak University
Phone: 08632625436

Research

Title
Feedback Control of Quantum Systems to Stabilize Superposition States
Type
JournalPaper
Keywords
Quantum feedback control, quantum filter, superposition of coherent states, superposition states, two-level quantum system.
Year
2023
Journal IEEE Transactions on Automatic Control
DOI
Researchers Abolghasem Daeichian

Abstract

As a specific trait of quantum mechanics, quantum superposition is exploited in many applications, such as quantum computation. This article proposes a feedback scheme to stabilize the desired quantum superposition states. To this aim, a new factorization is derived for the stochastic master equation of a quantum system which is driven by the field in the superposition of coherent states. Then, a feedback scheme is proposed, which consists of a quantum system driven by the field in the superposition of coherent states and a classical feedback channel proportional to the observations of a Homodyne detector. Afterward, the quantum filter of the closed loop system is attained using the SLH framework. Finally, the factorization of the closed loop quantum filter is obtained and the control law is calculated such that the proposed factorization satisfies the stabilization condition. Finally, as an example, the control method is simulated for a two-level atom and the stabilization of the superposition states is achieved.