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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 |
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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.
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Received: 03 January 2021
Revised: 05 February 2021
Accepted manuscript online: 01 March 2021
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PACS:
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03.67.Hk
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(Quantum communication)
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03.67.Pp
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(Quantum error correction and other methods for protection against decoherence)
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03.67.-a
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(Quantum information)
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Fund: 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). |
Corresponding Authors:
Bao Zhao
E-mail: bzhao@aust.edu.cn
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Cite this article:
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 2021 Chin. Phys. B 30 060303
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[1] Bennett C H, Brassard G, Jozsa R, Peres A, Wootters W K and Crépeau C 1993 Phys. Rev. Lett. 70 1895 [2] Bouwmeester D, Mattle K, Pan J W, Weinfurter H, Zeilinger A and Zukowski M 1998 Appl. Phys. B: Lasers Opt. 67 749 [3] Ren J G, Xu P, Yong H L, et al. 2017 Nature 549 70 [4] Zhang B, Liu X T, Wang J and Tang C J 2016 Int. J. Theor. Phys. 55 1601 [5] Verma V and Prakash H 2016 Int. J. Theor. Phys. 55 2061 [6] Greplova E, Molmer K and Andersen C K 2016 Phys. Rev. A 94 042334 [7] Ramírez M D G, Falaye B J, Sun G H, Cruz-Irisson M and Dong S H 2017 Front. Phys. 12 120306 [8] Sisodia M, Shukla A, Thapliyal K and Pathak A 2017 Quantum Inf. Process. 16 292 [9] Li M, Zhao N, Chen N, Zhu C H and Pei C X 2017 Int. J. Theor. Phys. 56 2710 [10] Yang Y G, Cao S N, Cao W F, Li D, Zhou Y H and Shi W M 2019 Mod. Phys. Lett. B 33 1950070 [11] Li D F, Wang R J and Baagyere E 2019 Quantum Inf. Process. 18 147 [12] Cao Z, Zhang C, He C and Zhang M 2020 Int. J. Theor. Phys. 59 3174 [13] Zhao N and Li W 2020 Int. J. Theor. Phys. 59 2147 [14] Anagha M, Mohan A, Muruganandan T, Behera B K and Panigrahi P K 2020 Quantum Inf. Process. 19 147 [15] Karlsson A and Bourennane M 1998 Phys. Rev. A 58 4394 [16] Sun S Y, Li L X and Zhang H S 2020 Int. J. Theor. Phys. 59 1017 [17] Li Y H, Qiao Y, Sang M H and Nie Y Y 2020 Int. J. Theor. Phys. 59 502 [18] Aliloute S, El Allati A and El Aouadi I 2021 Quantum Inf. Process. 20 29 [19] Chen J, Li D, Liu M and Yang Y 2020 IEEE Access 8 28925 [20] Sang Z W 2017 Int. J. Theor. Phys. 56 3400 [21] Hassanpour S and Houshmand M 2016 Quantum Inf. Process. 15 905 [22] Long Y and Shao Z 2019 Sci. Sin. Phys. Mech. Astron. 49 070301 [23] Huo G W, Zhang T Y, Zha X W, Zhang X X and Zhang M Z 2021 Quantum Inf. Process. 20 24 [24] Chen Y X, Du J, Liu S Y and Wang X H 2017 Quantum Inf. Process. 16 201 [25] Sun S Y and Zhang H S 2020 Quantum Inf. Process. 19 120 [26] Luo Y H, Zhong H Sen, Erhard M, Wang X L, Peng L C, Krenn M, Jiang X, Li L, Liu N Le, Lu C Y, Zeilinger A and Pan J W 2019 Phys. Rev. Lett. 123 070505 [27] Yin J, Ren J G, Lu H, Cao Y, Yong H L, Wu Y P, Liu C, Liao S K, Zhou F, Jiang Y, Cai X D, Xu P, Pan G S, Jia J J, Huang Y M, Yin H, Wang J Y, Chen Y A, Peng C Z and Pan J W 2012 Nature 488 185 [28] Horoshko D B, Patera G and Kolobov M I 2019 Opt. Commun. 447 67 [29] Zhan Y B 2007 Chin. Phys. 16 2557 [30] Ma P C, Chen G Bin, Li X W and Zhan Y B 2018 Int. J. Theor. Phys. 57 2233 [31] Oh S, Lee S and Lee H woong 2002 Phys. Rev. A 66 022316 [32] Hou K, Bao D Q, Zhu C J and Yang Y P 2019 Quantum Inf. Process. 18 104 [33] He L M, Wang N and Zhou P 2020 Int. J. Theor. Phys. 59 1081 [34] Singh U, Mishra U and Dhar H S 2014 Ann. Phys. 350 50 [35] Li Y L, Zu C J and Wei D M 2019 Quantum Inf. Process. 18 2 [36] Macchiavello C and Palma G M 2002 Phys. Rev. A 65 050301 [37] D'Arrigo A, Benenti G, Falci G and Macchiavello C 2015 Phys. Rev. A 92 062342 [38] Guo Y N, Tian Q L, Zeng K and Chen P X 2020 Quantum Inf. Process. 19 182 [39] Li Y L, Zu C J, Wei D M and Wang C M 2019 Int. J. Theor. Phys. 58 1350 [40] Zhang Z and Sun M 2020 Phys. Scr. 95 055107 [41] Fonseca A 2019 Phys. Rev. A 100 062311 [42] Liu X S, Long G L, Tong D M and Li F 2002 Phys. Rev. A 65 022304 [43] Karimipour V, Bahraminasab A and Bagherinezhad S 2002 Phys. Rev. A 65 042320 [44] Karimipour V, Bahraminasab A and Bagherinezhad S 2002 Phys. Rev. A 65 052331 [45] Bertlmann R A and Krammer P 2008 J. Phys. A: Math. Theor. 41 235303 [46] Weinar R, Laskowski W and Pawlowski M 2013 J. Phys. A: Math. Theor. 46 435301 |
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