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Robustness of two-qubit and three-qubit states in correlated quantum channels |
| Zhan-Yun Wang(王展云)1,†, Feng-Lin Wu(吴风霖)2,3, Zhen-Yu Peng(彭振宇)4, and Si-Yuan Liu(刘思远)2,3 |
1 School of Electronic Engineering, Xi'an University of Posts and Telecommunications, Xi'an 710121, China;
2 Institute of Modern Physics, Northwest University, Xi'an 710127, China;
3 Shaanxi Key Laboratory for Theoretical Physics Frontiers, Xi'an 710127, China;
4 School of Physics, Northwest University, Xi'an 710127, China |
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Abstract We investigate how the correlated actions of quantum channels affect the robustness of entangled states. We consider the Bell-like state and random two-qubit pure states in the correlated depolarizing, bit flip, bit-phase flip, and phase flip channels. It is found that the robustness of two-qubit pure states can be noticeably enhanced due to the correlations between consecutive actions of these noisy channels, and the Bell-like state is always the most robust one. We also consider the robustness of three-qubit pure states in correlated noisy channels. For the correlated bit flip and phase flip channels, the result shows that although the most robust and most fragile states are locally unitary equivalent, they exhibit different robustness in different correlated channels, and the effect of channel correlations on them is also significantly different. However, for the correlated depolarizing and bit-phase flip channels, the robustness of two special three-qubit pure states is exactly the same. Moreover, compared with the random three-qubit pure states, they are neither the most robust states nor the most fragile states.
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Received: 19 October 2021
Revised: 17 December 2021
Accepted manuscript online: 12 January 2022
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PACS:
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03.65.Yz
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(Decoherence; open systems; quantum statistical methods)
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03.67.Bg
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(Entanglement production and manipulation)
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03.65.Ud
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(Entanglement and quantum nonlocality)
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| Fund: Project supported by the National Natural Science Foundation of China (Grant Nos. 11705146 and 12175179), the Natural Science Basic Research Program of Shaanxi Province, China (Grant No. 2019JQ-863), and the Open Project of Shaanxi Key Laboratory for Theoretical Physics Frontiers (Grant No. SXKLTPF-K20190606). |
Corresponding Authors:
Zhan-Yun Wang
E-mail: zywang@xupt.edu.cn
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Cite this article:
Zhan-Yun Wang(王展云), Feng-Lin Wu(吴风霖), Zhen-Yu Peng(彭振宇), and Si-Yuan Liu(刘思远) Robustness of two-qubit and three-qubit states in correlated quantum channels 2022 Chin. Phys. B 31 070302
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