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Observation of exceptional point in a PT broken non-Hermitian system simulated using a quantum circuit

Exceptional points (EPs), the degeneracy points of non-Hermitian systems, have recently attracted great attention because of their potential of enhancing the sensitivity of quantum sensors. Unlike the usual degeneracies in Hermitian systems, at EPs, both the eigenenergies and eigenvectors coalesce....

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Autores principales: Zhang, Geng-Li, Liu, Di, Yung, Man-Hong
Formato: Online Artículo Texto
Lenguaje:English
Publicado: Nature Publishing Group UK 2021
Materias:
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC8257716/
https://www.ncbi.nlm.nih.gov/pubmed/34226606
http://dx.doi.org/10.1038/s41598-021-93192-x
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author Zhang, Geng-Li
Liu, Di
Yung, Man-Hong
author_facet Zhang, Geng-Li
Liu, Di
Yung, Man-Hong
author_sort Zhang, Geng-Li
collection PubMed
description Exceptional points (EPs), the degeneracy points of non-Hermitian systems, have recently attracted great attention because of their potential of enhancing the sensitivity of quantum sensors. Unlike the usual degeneracies in Hermitian systems, at EPs, both the eigenenergies and eigenvectors coalesce. Although EPs have been widely explored, the range of EPs studied is largely limited by the underlying systems, for instance, higher-order EPs are hard to achieve. Here we propose an extendable method to simulate non-Hermitian systems and study EPs with quantum circuits. The system is inherently parity-time (PT) broken due to the non-symmetric controlling effects of the circuit. Inspired by the quantum Zeno effect, the circuit structure guarantees the success rate of the post-selection. A sample circuit is implemented in a quantum programming framework, and the phase transition at EP is demonstrated. Considering the scalable and flexible nature of quantum circuits, our model is capable of simulating large-scale systems with higher-order EPs.
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spelling pubmed-82577162021-07-08 Observation of exceptional point in a PT broken non-Hermitian system simulated using a quantum circuit Zhang, Geng-Li Liu, Di Yung, Man-Hong Sci Rep Article Exceptional points (EPs), the degeneracy points of non-Hermitian systems, have recently attracted great attention because of their potential of enhancing the sensitivity of quantum sensors. Unlike the usual degeneracies in Hermitian systems, at EPs, both the eigenenergies and eigenvectors coalesce. Although EPs have been widely explored, the range of EPs studied is largely limited by the underlying systems, for instance, higher-order EPs are hard to achieve. Here we propose an extendable method to simulate non-Hermitian systems and study EPs with quantum circuits. The system is inherently parity-time (PT) broken due to the non-symmetric controlling effects of the circuit. Inspired by the quantum Zeno effect, the circuit structure guarantees the success rate of the post-selection. A sample circuit is implemented in a quantum programming framework, and the phase transition at EP is demonstrated. Considering the scalable and flexible nature of quantum circuits, our model is capable of simulating large-scale systems with higher-order EPs. Nature Publishing Group UK 2021-07-05 /pmc/articles/PMC8257716/ /pubmed/34226606 http://dx.doi.org/10.1038/s41598-021-93192-x Text en © The Author(s) 2021 https://creativecommons.org/licenses/by/4.0/Open AccessThis article is licensed under a Creative Commons Attribution 4.0 International License, which permits use, sharing, adaptation, distribution and reproduction in any medium or format, as long as you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons licence, and indicate if changes were made. The images or other third party material in this article are included in the article's Creative Commons licence, unless indicated otherwise in a credit line to the material. If material is not included in the article's Creative Commons licence and your intended use is not permitted by statutory regulation or exceeds the permitted use, you will need to obtain permission directly from the copyright holder. To view a copy of this licence, visit http://creativecommons.org/licenses/by/4.0/ (https://creativecommons.org/licenses/by/4.0/) .
spellingShingle Article
Zhang, Geng-Li
Liu, Di
Yung, Man-Hong
Observation of exceptional point in a PT broken non-Hermitian system simulated using a quantum circuit
title Observation of exceptional point in a PT broken non-Hermitian system simulated using a quantum circuit
title_full Observation of exceptional point in a PT broken non-Hermitian system simulated using a quantum circuit
title_fullStr Observation of exceptional point in a PT broken non-Hermitian system simulated using a quantum circuit
title_full_unstemmed Observation of exceptional point in a PT broken non-Hermitian system simulated using a quantum circuit
title_short Observation of exceptional point in a PT broken non-Hermitian system simulated using a quantum circuit
title_sort observation of exceptional point in a pt broken non-hermitian system simulated using a quantum circuit
topic Article
url https://www.ncbi.nlm.nih.gov/pmc/articles/PMC8257716/
https://www.ncbi.nlm.nih.gov/pubmed/34226606
http://dx.doi.org/10.1038/s41598-021-93192-x
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