Probabilistic Pathways: New Frontiers in Quantum Ensemble Control
- URL: http://arxiv.org/abs/2309.03601v1
- Date: Thu, 7 Sep 2023 09:52:48 GMT
- Title: Probabilistic Pathways: New Frontiers in Quantum Ensemble Control
- Authors: Randa Herzallah and Abdessamad Belfakir
- Abstract summary: We propose a novel probabilistic control framework for efficiently controlling an ensemble of quantum systems.
The proposed framework compensates for the interaction of the systems with the external environment.
Numerical results are presented, demonstrating the effectiveness of the proposed framework.
- Score: 0.0
- License: http://creativecommons.org/licenses/by/4.0/
- Abstract: In this paper, we propose a novel probabilistic control framework for
efficiently controlling an ensemble of quantum systems that can also compensate
for the interaction of the systems with the external environment. The main
challenge in this problem is to simultaneously steer an ensemble of systems
with variation in their internal parameters from an initial state to a desired
final state. The minimisation of the discrepancy between the probabilistic
description of the dynamics of a quantum ensemble and a predefined desired
probabilistic description is the key step in the proposed framework. With this
objective, the derived solution will not only allow the transitioning of the
ensemble from one state to another, but will generally allow steering an
initial distribution of the ensemble to a final distribution. Numerical results
are presented, demonstrating the effectiveness of the proposed probabilistic
control framework.
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