Controlled quantum teleportation of an unknown single-qutrit state in noisy channels with memory

doi:10.1088/1674-1056/abea95

中国物理B ›› 2021, Vol. 30 ›› Issue (6): 60303-060303.doi: 10.1088/1674-1056/abea95

Controlled quantum teleportation of an unknown single-qutrit state in noisy channels with memory

Shexiang Jiang(蒋社想), Bao Zhao(赵宝)^†, and Xingzhu Liang(梁兴柱)

School of Computer Science and Engineering, Anhui University of Science and Technology, Huainan 232001, China

收稿日期:2021-01-03 修回日期:2021-02-05 接受日期:2021-03-01 出版日期:2021-05-18 发布日期:2021-05-20
通讯作者: Bao Zhao E-mail:bzhao@aust.edu.cn
基金资助:
Project supported by the Natural Science Research Project of Colleges and Universities in Anhui Province, China (Grant No. KJ2020A0301) and the Science and Technology Project of Wuhu City in 2020 (Grant No. 2020yf48).

Controlled quantum teleportation of an unknown single-qutrit state in noisy channels with memory

Shexiang Jiang(蒋社想), Bao Zhao(赵宝)^†, and Xingzhu Liang(梁兴柱)

School of Computer Science and Engineering, Anhui University of Science and Technology, Huainan 232001, China

Received:2021-01-03 Revised:2021-02-05 Accepted:2021-03-01 Online:2021-05-18 Published:2021-05-20
Contact: Bao Zhao E-mail:bzhao@aust.edu.cn
Supported by:
Project supported by the Natural Science Research Project of Colleges and Universities in Anhui Province, China (Grant No. KJ2020A0301) and the Science and Technology Project of Wuhu City in 2020 (Grant No. 2020yf48).

摘要/Abstract

摘要： This paper proposes a three-dimensional (3D) controlled quantum teleportation scheme for an unknown single-qutrit state. The scheme is first introduced in an ideal environment, and its detailed implementation is described via the transformation of the quantum system. Four types of 3D-Pauli-like noise corresponding to Weyl operators are created by Kraus operators:trit-flip, t-phase-flip, trit-phase-flip, and t-depolarizing. Then, this scheme is analyzed in terms of four types of noisy channel with memory. For each type of noise, the average fidelity is calculated as a function of memory and noise parameters, which is afterwards compared with classical fidelity. The results demonstrate that for trit-flip and t-depolarizing noises, memory will increase the average fidelity regardless of the noise parameter. However, for t-phase-flip and trit-phase-flip noises, memory may become ineffective in increasing the average fidelity above a certain noise threshold.

关键词: three-dimensional quantum teleportation, fidelity, Pauli noise, memory channel

Abstract: This paper proposes a three-dimensional (3D) controlled quantum teleportation scheme for an unknown single-qutrit state. The scheme is first introduced in an ideal environment, and its detailed implementation is described via the transformation of the quantum system. Four types of 3D-Pauli-like noise corresponding to Weyl operators are created by Kraus operators:trit-flip, t-phase-flip, trit-phase-flip, and t-depolarizing. Then, this scheme is analyzed in terms of four types of noisy channel with memory. For each type of noise, the average fidelity is calculated as a function of memory and noise parameters, which is afterwards compared with classical fidelity. The results demonstrate that for trit-flip and t-depolarizing noises, memory will increase the average fidelity regardless of the noise parameter. However, for t-phase-flip and trit-phase-flip noises, memory may become ineffective in increasing the average fidelity above a certain noise threshold.

Key words: three-dimensional quantum teleportation, fidelity, Pauli noise, memory channel

中图分类号: (Quantum communication)

03.67.Hk

03.67.Pp (Quantum error correction and other methods for protection against decoherence) 03.67.-a (Quantum information)

Shexiang Jiang(蒋社想), Bao Zhao(赵宝), and Xingzhu Liang(梁兴柱). Controlled quantum teleportation of an unknown single-qutrit state in noisy channels with memory[J]. 中国物理B, 2021, 30(6): 60303-060303.

Shexiang Jiang(蒋社想), Bao Zhao(赵宝), and Xingzhu Liang(梁兴柱). Controlled quantum teleportation of an unknown single-qutrit state in noisy channels with memory[J]. Chin. Phys. B, 2021, 30(6): 60303-060303.

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Controlled quantum teleportation of an unknown single-qutrit state in noisy channels with memory

Controlled quantum teleportation of an unknown single-qutrit state in noisy channels with memory

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