Enhancing Quantum Entanglement in Bipartite Systems: Leveraging Optimal Control and Physics-Informed Neural Networks

التفاصيل البيبلوغرافية
العنوان: Enhancing Quantum Entanglement in Bipartite Systems: Leveraging Optimal Control and Physics-Informed Neural Networks
المؤلفون: Dehaghani, Nahid Binandeh, Aguiar, A. Pedro, Wisniewski, Rafal
سنة النشر: 2024
المجموعة: Quantum Physics
مصطلحات موضوعية: Quantum Physics
الوصف: Quantum entanglement stands at the forefront of quantum information science, heralding new paradigms in quantum communication, computation, and cryptography. This paper introduces a quantum optimal control approach by focusing on entanglement measures rather than targeting predefined maximally entangled states. Leveraging the indirect Pontryagin Minimum Principle, we formulate an optimal control problem centered on maximizing an enhanced lower bound of the entanglement measure within a shortest timeframe in the presence of input constraints. We derive optimality conditions based on Pontryagin's Minimum Principle tailored for a matrix-valued dynamic control system and tackle the resulting boundary value problem through a Physics-Informed Neural Network, which is adept at handling differential matrix equations. The proposed strategy not only refines the process of generating entangled states but also introduces a method with increased sensitivity in detecting entangled states, thereby overcoming the limitations of conventional concurrence estimation.
Comment: 8 pages, 3 figures
نوع الوثيقة: Working Paper
URL الوصول: http://arxiv.org/abs/2403.16321
رقم الأكسشن: edsarx.2403.16321
قاعدة البيانات: arXiv