Majorana noise model and its influence on the power spectrum

doi:10.1088/1674-1056/acfd19

中国物理B ›› 2024, Vol. 33 ›› Issue (1): 17101-17101.doi: 10.1088/1674-1056/acfd19

Majorana noise model and its influence on the power spectrum

Shumeng Chen(陈书梦)¹, Sifan Ding(丁思凡)¹, Zhen-Tao Zhang(张振涛)², and Dong E. Liu(刘东)^1,3,4,5,†

1 State Key Laboratory of Low Dimensional Quantum Physics, Department of Physics, Tsinghua University, Beijing 100084, China;
2 School of Physics Science and Information Technology, Shandong Key Laboratory of Optical Communication Science and Technology, Liaocheng University, Liaocheng 252059, China;
3 Beijing Academy of Quantum Information Sciences, Beijing 100193, China;
4 Frontier Science Center for Quantum Information, Beijing 100084, China;
5 Hefei National Laboratory, Hefei 230088, China

收稿日期:2023-07-21 修回日期:2023-09-09 接受日期:2023-09-26 出版日期:2023-12-13 发布日期:2023-12-20
通讯作者: Dong E. Liu E-mail:dongeliu@mail.tsinghua.edu.cn
基金资助:
We would like to express our gratitude for the valuable discussions with Li Chen, Feng-Feng Song, Gu Zhang and Zhenhua Zhu. This work was supported by the Innovation Program for Quantum Science and Technology (Grant No. 2021ZD0302400), the National Natural Science Foundation of China (Grants No. 11974198), and the Natural Science Foundation of Shandong Province of China (Grant No. ZR2021MA091).

Majorana noise model and its influence on the power spectrum

Shumeng Chen(陈书梦)¹, Sifan Ding(丁思凡)¹, Zhen-Tao Zhang(张振涛)², and Dong E. Liu(刘东)^1,3,4,5,†

1 State Key Laboratory of Low Dimensional Quantum Physics, Department of Physics, Tsinghua University, Beijing 100084, China;
2 School of Physics Science and Information Technology, Shandong Key Laboratory of Optical Communication Science and Technology, Liaocheng University, Liaocheng 252059, China;
3 Beijing Academy of Quantum Information Sciences, Beijing 100193, China;
4 Frontier Science Center for Quantum Information, Beijing 100084, China;
5 Hefei National Laboratory, Hefei 230088, China

Received:2023-07-21 Revised:2023-09-09 Accepted:2023-09-26 Online:2023-12-13 Published:2023-12-20
Contact: Dong E. Liu E-mail:dongeliu@mail.tsinghua.edu.cn
Supported by:
We would like to express our gratitude for the valuable discussions with Li Chen, Feng-Feng Song, Gu Zhang and Zhenhua Zhu. This work was supported by the Innovation Program for Quantum Science and Technology (Grant No. 2021ZD0302400), the National Natural Science Foundation of China (Grants No. 11974198), and the Natural Science Foundation of Shandong Province of China (Grant No. ZR2021MA091).

摘要/Abstract

摘要： Majorana quantum computation offers a potential approach to securely manipulating and storing quantum data in a topological manner that may effectively resist the decoherence induced by local noise. However, actual Majorana qubit setups are susceptible to noise. In this study, from a quantum dynamics perspective, we develop a noise model for Majorana qubits that accounts for quasi-particle poisoning and Majorana overlapping with fluctuation. Furthermore, we focus on Majorana parity readout methodologies, specifically those leveraging an ancillary quantum dot, and carry out an in-depth exploration of continuous measurement techniques founded on the quantum jump model of a quantum point contact. Utilizing these methodologies, we proceed to analyze the influence of noise on the afore-mentioned noise model, employing numerical computation to evaluate the power spectrum and frequency curve. In the culmination of our study, we put forward a strategy to benchmark the presence and detailed properties of noise in Majorana qubits.

关键词: Majorana zero mode, topological quantum computation, topological devices, decoherence and noise in qubits

Abstract: Majorana quantum computation offers a potential approach to securely manipulating and storing quantum data in a topological manner that may effectively resist the decoherence induced by local noise. However, actual Majorana qubit setups are susceptible to noise. In this study, from a quantum dynamics perspective, we develop a noise model for Majorana qubits that accounts for quasi-particle poisoning and Majorana overlapping with fluctuation. Furthermore, we focus on Majorana parity readout methodologies, specifically those leveraging an ancillary quantum dot, and carry out an in-depth exploration of continuous measurement techniques founded on the quantum jump model of a quantum point contact. Utilizing these methodologies, we proceed to analyze the influence of noise on the afore-mentioned noise model, employing numerical computation to evaluate the power spectrum and frequency curve. In the culmination of our study, we put forward a strategy to benchmark the presence and detailed properties of noise in Majorana qubits.

Key words: Majorana zero mode, topological quantum computation, topological devices, decoherence and noise in qubits

中图分类号: (Fermions in reduced dimensions (anyons, composite fermions, Luttinger liquid, etc.))

71.10.Pm

74.20.Mn (Nonconventional mechanisms) 03.65.Yz (Decoherence; open systems; quantum statistical methods) 03.67.Lx (Quantum computation architectures and implementations)

Shumeng Chen(陈书梦), Sifan Ding(丁思凡), Zhen-Tao Zhang(张振涛), and Dong E. Liu(刘东). Majorana noise model and its influence on the power spectrum[J]. 中国物理B, 2024, 33(1): 17101-17101.

Shumeng Chen(陈书梦), Sifan Ding(丁思凡), Zhen-Tao Zhang(张振涛), and Dong E. Liu(刘东). Majorana noise model and its influence on the power spectrum[J]. Chin. Phys. B, 2024, 33(1): 17101-17101.

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Majorana noise model and its influence on the power spectrum

Majorana noise model and its influence on the power spectrum

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