Uncertainties of the standard quantum teleportation channel

doi:10.1088/1674-1056/adb263

中国物理B ›› 2025, Vol. 34 ›› Issue (4): 40301-040301.doi: 10.1088/1674-1056/adb263

Uncertainties of the standard quantum teleportation channel

Zhihua Zhang(章志华)¹, Zehao Guo(郭泽豪)¹, and Zhipeng Qiu(邱志鹏)^2,†

1 School of Cyber Science and Engineering, Nanjing University of Science and Technology, Jiangyin 214443, China;
2 School of Mathematics and Statistics, Nanjing University of Science and Technology, Nanjing 210094, China

收稿日期:2024-11-19 修回日期:2025-01-22 接受日期:2025-02-05 出版日期:2025-04-15 发布日期:2025-04-15
通讯作者: Zhipeng Qiu E-mail:nustqzp@njust.edu.cn
基金资助:
Project supported by the National Natural Science Foundation of China (Grant No. 12201300).

Uncertainties of the standard quantum teleportation channel

Zhihua Zhang(章志华)¹, Zehao Guo(郭泽豪)¹, and Zhipeng Qiu(邱志鹏)^2,†

1 School of Cyber Science and Engineering, Nanjing University of Science and Technology, Jiangyin 214443, China;
2 School of Mathematics and Statistics, Nanjing University of Science and Technology, Nanjing 210094, China

Received:2024-11-19 Revised:2025-01-22 Accepted:2025-02-05 Online:2025-04-15 Published:2025-04-15
Contact: Zhipeng Qiu E-mail:nustqzp@njust.edu.cn
Supported by:
Project supported by the National Natural Science Foundation of China (Grant No. 12201300).

摘要/Abstract

摘要： From the perspective of state-channel interaction, standard quantum teleportation can be viewed as a communication process characterized by both input and output, functioning as a quantum depolarizing channel. To achieve a precise quantification of the quantumness introduced by this channel, we examine its uncertainties, which encompass both state-dependent and state-independent uncertainties. Specifically, for qudit systems, we provide general formulas for these uncertainties. We analyze the uncertainties associated with standard quantum teleportation when induced by isotropic states, Werner states, and X-states, and we elucidate the correlation between these uncertainties and the parameters of the specific mixed states. Our findings demonstrate the validity of quantifying these uncertainties.

关键词: uncertainty, standard quantum teleportation channel, state-channel interaction

Abstract: From the perspective of state-channel interaction, standard quantum teleportation can be viewed as a communication process characterized by both input and output, functioning as a quantum depolarizing channel. To achieve a precise quantification of the quantumness introduced by this channel, we examine its uncertainties, which encompass both state-dependent and state-independent uncertainties. Specifically, for qudit systems, we provide general formulas for these uncertainties. We analyze the uncertainties associated with standard quantum teleportation when induced by isotropic states, Werner states, and X-states, and we elucidate the correlation between these uncertainties and the parameters of the specific mixed states. Our findings demonstrate the validity of quantifying these uncertainties.

Key words: uncertainty, standard quantum teleportation channel, state-channel interaction

中图分类号: (Quantum information)

03.67.-a

03.65.Aa (Quantum systems with finite Hilbert space) 03.65.Ta (Foundations of quantum mechanics; measurement theory)

Zhihua Zhang(章志华), Zehao Guo(郭泽豪), and Zhipeng Qiu(邱志鹏). Uncertainties of the standard quantum teleportation channel[J]. 中国物理B, 2025, 34(4): 40301-040301.

Zhihua Zhang(章志华), Zehao Guo(郭泽豪), and Zhipeng Qiu(邱志鹏). Uncertainties of the standard quantum teleportation channel[J]. Chin. Phys. B, 2025, 34(4): 40301-040301.

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Uncertainties of the standard quantum teleportation channel

Uncertainties of the standard quantum teleportation channel

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