Anomalous non-Hermitian dynamical phenomenon on the quantum circuit

doi:10.1088/1674-1056/acce9a

中国物理B ›› 2023, Vol. 32 ›› Issue (7): 70305-070305.doi: 10.1088/1674-1056/acce9a

Anomalous non-Hermitian dynamical phenomenon on the quantum circuit

Chenxiao Dong(董陈潇)^1,2, Zhesen Yang(杨哲森)^1,2, Jinfeng Zeng(曾进峰)^4,†, and Jiangping Hu(胡江平)^1,2,3,‡

1 Beijing National Laboratory for Condensed Matter Physics, and Institute of Physics, Chinese Academy of Sciences, Beijing 100190, China;
2 Kavli Institute for Theoretical Sciences, University of Chinese Academy of Sciences, Beijing 100190, China;
3 South Bay Interdisciplinary Science Center, Dongguan 523808, China;
4 Beijing Academy of Quantum Information Sciences, Beijing 100193, China

收稿日期:2023-01-15 修回日期:2023-04-14 接受日期:2023-04-20 出版日期:2023-06-15 发布日期:2023-06-21
通讯作者: Jinfeng Zeng, Jiangping Hu E-mail:zengjf@baqis.ac.cn;jphu@iphy.ac.cn
基金资助:
Project supported by the National Key R&D Program of China (Grant No. 2022YFA1403901), the National Natural Science Foundation of China (Grant No. NSFC-11888101), the Strategic Priority Research Program of Chinese Academy of Sciences (Grant No. XDB28000000), and New Cornerstone Investigator Program. Z. Y. was also supported by the fellowship of China National Postdoctoral Program for Innovative Talents (Grant No. BX2021300).

Anomalous non-Hermitian dynamical phenomenon on the quantum circuit

Chenxiao Dong(董陈潇)^1,2, Zhesen Yang(杨哲森)^1,2, Jinfeng Zeng(曾进峰)^4,†, and Jiangping Hu(胡江平)^1,2,3,‡

1 Beijing National Laboratory for Condensed Matter Physics, and Institute of Physics, Chinese Academy of Sciences, Beijing 100190, China;
2 Kavli Institute for Theoretical Sciences, University of Chinese Academy of Sciences, Beijing 100190, China;
3 South Bay Interdisciplinary Science Center, Dongguan 523808, China;
4 Beijing Academy of Quantum Information Sciences, Beijing 100193, China

Received:2023-01-15 Revised:2023-04-14 Accepted:2023-04-20 Online:2023-06-15 Published:2023-06-21
Contact: Jinfeng Zeng, Jiangping Hu E-mail:zengjf@baqis.ac.cn;jphu@iphy.ac.cn
Supported by:
Project supported by the National Key R&D Program of China (Grant No. 2022YFA1403901), the National Natural Science Foundation of China (Grant No. NSFC-11888101), the Strategic Priority Research Program of Chinese Academy of Sciences (Grant No. XDB28000000), and New Cornerstone Investigator Program. Z. Y. was also supported by the fellowship of China National Postdoctoral Program for Innovative Talents (Grant No. BX2021300).

1. 2023-070305-SI.pdf(1066KB)

摘要/Abstract

摘要： The anomalous non-Hermitian dynamical phenomenon with the non-Hermitian skin effect (NHSE) attracts wide attention due to its novel physics and promising applications. Here, we propose a new type of non-unitary discrete-time quantum walk system demonstrating the NHSE and anomalous non-Hermitian dynamical phenomena, including the dynamical chiral phenomenon, the funneling phenomenon on the domain wall, and the anomalous reflection on the phase impurity. Furthermore, we design the quantum circuit experiments of these quantum walk systems and numerically simulate them with quantum noises to verify the robustness of the non-Hermitian dynamical phenomenon on the noisy intermediate-scale quantum (NISQ) devices. Our work paves the way for implementing the non-Hermitian dynamical phenomenon on the quantum circuit.

关键词: spectral degeneracy splitting, discrete-time quantum walk, quantum circuit, non-Hermitian skin effect

Abstract: The anomalous non-Hermitian dynamical phenomenon with the non-Hermitian skin effect (NHSE) attracts wide attention due to its novel physics and promising applications. Here, we propose a new type of non-unitary discrete-time quantum walk system demonstrating the NHSE and anomalous non-Hermitian dynamical phenomena, including the dynamical chiral phenomenon, the funneling phenomenon on the domain wall, and the anomalous reflection on the phase impurity. Furthermore, we design the quantum circuit experiments of these quantum walk systems and numerically simulate them with quantum noises to verify the robustness of the non-Hermitian dynamical phenomenon on the noisy intermediate-scale quantum (NISQ) devices. Our work paves the way for implementing the non-Hermitian dynamical phenomenon on the quantum circuit.

Key words: spectral degeneracy splitting, discrete-time quantum walk, quantum circuit, non-Hermitian skin effect

中图分类号: (Quantum algorithms, protocols, and simulations)

03.67.Ac

03.65.Aa (Quantum systems with finite Hilbert space) 03.65.Yz (Decoherence; open systems; quantum statistical methods)

Chenxiao Dong(董陈潇), Zhesen Yang(杨哲森), Jinfeng Zeng(曾进峰), and Jiangping Hu(胡江平). Anomalous non-Hermitian dynamical phenomenon on the quantum circuit[J]. 中国物理B, 2023, 32(7): 70305-070305.

Chenxiao Dong(董陈潇), Zhesen Yang(杨哲森), Jinfeng Zeng(曾进峰), and Jiangping Hu(胡江平). Anomalous non-Hermitian dynamical phenomenon on the quantum circuit[J]. Chin. Phys. B, 2023, 32(7): 70305-070305.

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Anomalous non-Hermitian dynamical phenomenon on the quantum circuit

Anomalous non-Hermitian dynamical phenomenon on the quantum circuit

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