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

Abstract 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 c...

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Autores principales: Geng-Li Zhang, Di Liu, Man-Hong Yung
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Publicado: Nature Portfolio 2021
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Acceso en línea:https://doaj.org/article/b76ecd0c00cb4c0cbc85d05b1b0e73eb
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spelling oai:doaj.org-article:b76ecd0c00cb4c0cbc85d05b1b0e73eb2021-12-02T15:39:41ZObservation of exceptional point in a PT broken non-Hermitian system simulated using a quantum circuit10.1038/s41598-021-93192-x2045-2322https://doaj.org/article/b76ecd0c00cb4c0cbc85d05b1b0e73eb2021-07-01T00:00:00Zhttps://doi.org/10.1038/s41598-021-93192-xhttps://doaj.org/toc/2045-2322Abstract 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.Geng-Li ZhangDi LiuMan-Hong YungNature PortfolioarticleMedicineRScienceQENScientific Reports, Vol 11, Iss 1, Pp 1-8 (2021)
institution DOAJ
collection DOAJ
language EN
topic Medicine
R
Science
Q
spellingShingle Medicine
R
Science
Q
Geng-Li Zhang
Di Liu
Man-Hong Yung
Observation of exceptional point in a PT broken non-Hermitian system simulated using a quantum circuit
description Abstract 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.
format article
author Geng-Li Zhang
Di Liu
Man-Hong Yung
author_facet Geng-Li Zhang
Di Liu
Man-Hong Yung
author_sort Geng-Li Zhang
title 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_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_sort observation of exceptional point in a pt broken non-hermitian system simulated using a quantum circuit
publisher Nature Portfolio
publishDate 2021
url https://doaj.org/article/b76ecd0c00cb4c0cbc85d05b1b0e73eb
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AT diliu observationofexceptionalpointinaptbrokennonhermitiansystemsimulatedusingaquantumcircuit
AT manhongyung observationofexceptionalpointinaptbrokennonhermitiansystemsimulatedusingaquantumcircuit
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