Quantum state protection from finite-temperature thermal noise with application to controlled quantum teleportation

doi:10.1088/1674-1056/acbd2a

中国物理B ›› 2023, Vol. 32 ›› Issue (5): 50306-050306.doi: 10.1088/1674-1056/acbd2a

Quantum state protection from finite-temperature thermal noise with application to controlled quantum teleportation

Chi Wang(王驰)^†, Sajede Harraz^†‡, Jiao-Yang Zhang(张骄阳)^†, and Shuang Cong(丛爽)

Department of Automation, University of Science and Technology of China, Hefei 230027, China

收稿日期:2022-11-11 修回日期:2023-02-07 接受日期:2023-02-20 出版日期:2023-04-21 发布日期:2023-05-05
通讯作者: Sajede Harraz E-mail:sajede@ustc.edu.cn
基金资助:
Project supported by the National Natural Science Foundation of China (Grant No. 61973290), and a Program from Ministry of Science and Technology of China (Grant No. QN2022200007L).

Quantum state protection from finite-temperature thermal noise with application to controlled quantum teleportation

Chi Wang(王驰)^†, Sajede Harraz^†‡, Jiao-Yang Zhang(张骄阳)^†, and Shuang Cong(丛爽)

Department of Automation, University of Science and Technology of China, Hefei 230027, China

Received:2022-11-11 Revised:2023-02-07 Accepted:2023-02-20 Online:2023-04-21 Published:2023-05-05
Contact: Sajede Harraz E-mail:sajede@ustc.edu.cn
Supported by:
Project supported by the National Natural Science Foundation of China (Grant No. 61973290), and a Program from Ministry of Science and Technology of China (Grant No. QN2022200007L).

摘要/Abstract

摘要： We propose a quantum state protection scheme via quantum feedforward control combined with environment-assisted measurement to protect arbitrary unknown initial states from the finite-temperature thermal noise (FTTN). The main strategy is to transfer the quantum system to a noise-robust state by weak measurement and feedforward control before the noise channel. Then we apply the environment-assisted measurement on the noise channel to select our desired damped states that are invertible to the initial state. After the noise channel, the reversal operations are applied to restore the initial state. We consider the protection of a single-qubit system, derive the analytical expressions of the success probability and the fidelity, and analyze the influence of key parameters on the performance of the proposed scheme. Unlike previous studies, there is no trade-off between the fidelity and the success probability in the proposed scheme; hence one could maximize them separately. Simulation results show that the proposed scheme can greatly improve the fidelity of the quantum state with a certain success probability. Moreover, the proposed scheme is successfully applied to improving the fidelity of controlled quantum teleportation through two independent FTTN channels from the perspective of protecting the shared entanglement.

关键词: quantum feedforward control, environment-assisted measurement, weak measurement, quantum teleportation

Abstract: We propose a quantum state protection scheme via quantum feedforward control combined with environment-assisted measurement to protect arbitrary unknown initial states from the finite-temperature thermal noise (FTTN). The main strategy is to transfer the quantum system to a noise-robust state by weak measurement and feedforward control before the noise channel. Then we apply the environment-assisted measurement on the noise channel to select our desired damped states that are invertible to the initial state. After the noise channel, the reversal operations are applied to restore the initial state. We consider the protection of a single-qubit system, derive the analytical expressions of the success probability and the fidelity, and analyze the influence of key parameters on the performance of the proposed scheme. Unlike previous studies, there is no trade-off between the fidelity and the success probability in the proposed scheme; hence one could maximize them separately. Simulation results show that the proposed scheme can greatly improve the fidelity of the quantum state with a certain success probability. Moreover, the proposed scheme is successfully applied to improving the fidelity of controlled quantum teleportation through two independent FTTN channels from the perspective of protecting the shared entanglement.

Key words: quantum feedforward control, environment-assisted measurement, weak measurement, quantum teleportation

中图分类号: (Quantum error correction and other methods for protection against decoherence)

03.67.Pp

03.65.Yz (Decoherence; open systems; quantum statistical methods) 03.65.Ud (Entanglement and quantum nonlocality)

Chi Wang(王驰), Sajede Harraz, Jiao-Yang Zhang(张骄阳), and Shuang Cong(丛爽). Quantum state protection from finite-temperature thermal noise with application to controlled quantum teleportation[J]. 中国物理B, 2023, 32(5): 50306-050306.

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Quantum state protection from finite-temperature thermal noise with application to controlled quantum teleportation

Quantum state protection from finite-temperature thermal noise with application to controlled quantum teleportation

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