Quantum State Transfer Optimization: Balancing Fidelity and Energy Consumption using Pontryagin Maximum Principle

• Type: Article in International Conference Proceedings Book
• Date: 2023

Authors

Dehaghani, NB (Author) Other; Aguiar, AP (Author) FEUP

Conference proceedings International

Title: 11th IEEE International Conference on Systems and Control, ICSC 2023, Sousse, Tunisia, December 18-20, 2023

Pages: 94-99

11th IEEE International Conference on Systems and Control, ICSC 2023

Sousse, 18 December 2023 through 20 December 2023

Indexing

Scopus - 0 Citations

Other information

Authenticus ID: P-010-43K

DOI: 10.1109/icsc58660.2023.10449792

Abstract (EN): We address a control-constrained optimal control problem pertaining to the transformation of quantum states. Our objective is to steer a quantum system from an initial state to a desired target state while adhering to the principles of the Liouville-von Neumann equation. To achieve this, we introduce a cost functional that balances the dual goals of fidelity maximization and energy consumption minimization. We derive optimality conditions in the form of the Pontryagin Maximum Principle (PMP) for the matrix-valued dynamics associated with this problem. Subsequently, we present a time discretized computational scheme designed to solve the optimal control problem. This computational scheme is rooted in an indirect method grounded in the PMP, showcasing its versatility and efficacy. To illustrate the practicality and applicability of our methodology, we employ it to address the case of a spin 1/2 particle subjected to interaction with a magnetic field. Our findings shed light on the potential of this approach to tackle complex quantum control scenarios and contribute to the broader field of quantum state transformations. © 2023 IEEE.

Language: English

Type (Professor's evaluation): Scientific

No. of pages: 5