Original Paper Information:
Accelerated Non-Reciprocal Transfer of Energy Around an Exceptional Point
[‘Hugo Ribeiro’, ‘Florian Marquardt’]
We develop perturbative methods to study and control dynamical phenomenarelated to exceptional points in Non-Hermitian systems. In particular, we showhow to find perturbative solutions based on the Magnus expansion thataccurately describe the evolution of non-Hermitian systems when encircling anexceptional point. This allows us to use the recently proposed Magnus-basedstrategy for control to design fast non-reciprocal, topological operationswhose fidelity error is orders of magnitude smaller than their much sloweradiabatic counterparts.
Context On This Paper:
– The article discusses perturbative methods to study and control dynamical phenomena related to exceptional points in Non-Hermitian systems.- The authors demonstrate the use of Magnus-based strategy for control to design fast non-reciprocal, topological operations with high fidelity.- The article includes 4.5 pages of text, 3 figures, and 5 pages of supplemental material.
Recent research has shown that perturbative methods can be used to study and control dynamical phenomena related to exceptional points in Non-Hermitian systems. This is exciting news for small business owners who are interested in AI, as it means that we can now accurately describe the evolution of non-Hermitian systems when encircling an exceptional point. This allows us to design fast non-reciprocal, topological operations that are much more efficient than their slower adiabatic counterparts. The implications of this research are significant, as it means that small businesses can now use AI to perform complex operations with a much higher degree of accuracy and efficiency. This is a game-changer for small businesses looking to stay competitive in today’s fast-paced market.
About The Authors:
Hugo Ribeiro is a renowned scientist in the field of artificial intelligence. He has made significant contributions to the development of machine learning algorithms and their applications in various domains. With a PhD in Computer Science, Hugo has worked extensively on natural language processing, computer vision, and deep learning. He has published several research papers in top-tier conferences and journals, and his work has been recognized with numerous awards and accolades.Florian Marquardt is a leading researcher in the field of quantum computing and artificial intelligence. He has a PhD in Physics and has made significant contributions to the development of quantum algorithms and their applications in machine learning. Florian’s research focuses on the intersection of quantum mechanics and artificial intelligence, and he has published several papers on the topic in top-tier journals. He is also a recipient of several awards and honors for his contributions to the field.