×

Multidirectional quantum controlled teleportation in noisy environment. (English) Zbl 1537.81224

Summary: The present paper aims to propose a theoretical novel protocol for implementing five-party Multidirectional Quantum Controlled Teleportation (MQCT) of a one-qubit state. Utilizing the entangled state of eleven-qubit as a quantum channel, one sender teleports to and receives different quantum information from distant three receivers simultaneously under the supervision of the fifth party as the controller. Hadamard gates, Controlled-Not (CNOT) gates and Controlled-Z gates (CZ) are used to construct the quantum channel. The proposed protocol is found to be more efficient as it has minimum resource consumption than most existing protocols. The protocol has been examined in noisy channels and the results show that the fidelities under Amplitude Damping Noise (ADN) and Phase Damping Noise (PDN) depend only upon the amplitude coefficients and the decoherence noisy rate. The proposed protocol has also been analyzed and found to be secure.

MSC:

81V70 Many-body theory; quantum Hall effect
81P40 Quantum coherence, entanglement, quantum correlations
81Q93 Quantum control
81P48 LOCC, teleportation, dense coding, remote state operations, distillation
74D99 Materials of strain-rate type and history type, other materials with memory (including elastic materials with viscous damping, various viscoelastic materials)
60H50 Regularization by noise
81P47 Quantum channels, fidelity
94A40 Channel models (including quantum) in information and communication theory
70F07 Three-body problems
15B34 Boolean and Hadamard matrices
81P65 Quantum gates
Full Text: DOI

References:

[1] Bennett, CH; Brassard, G.; Crépeau, C.; Jozsa, R.; Peres, A.; Wootters, WK, Teleporting an unknown quantum state via dual classical and Einstein-Podolsky-Rosen channels, Phys. Rev. Lett., 70, 13, 895-1899 (1993) · Zbl 1051.81505 · doi:10.1103/PhysRevLett.70.1895
[2] Yang, K.; Huang, L.; Yang, W.; Song, F., Quantum teleportation via GHZ-like state, Int. J. Theor. Phys., 48, 516-521 (2009) · Zbl 1162.81358 · doi:10.1007/s10773-008-9827-6
[3] Cao, LY; Xue, SB; Jiang, M., Teleportation of an unknown four-qubit cluster state based on cluster states with minimum resource, IEEE Access, 8, 81447-81457 (2020) · doi:10.1109/ACCESS.2020.2991065
[4] Sadeghi Zadeh, MS; Houshmand, M.; Aghababa, H., Bidirectional teleportation of a two-qubit state by using eight-qubit entangled state as a quantum channel, Int. J. Theor. Phys., 56, 2101-2112 (2017) · Zbl 1383.81048 · doi:10.1007/s10773-017-3353-3
[5] Zhang, B.; Liu, XT; Wang, J.; Tang, CJ, Quantum teleportation of an arbitrary N-qubit state via GHZ-like states, Int. J. Theor. Phys., 55, 1601-1611 (2016) · Zbl 1338.81122 · doi:10.1007/s10773-015-2798-5
[6] Wang, LQ; Zha, XW, Two schemes of teleportation one-particle state by a three-particle GHZ state, Optics Commun., 283, 20, 4118-4121 (2010) · doi:10.1016/j.optcom.2010.06.017
[7] Yu, L.Z., Zhu, L.Z.: Probabilistic Teleportation of Two-particle Entangled State via a Cluster State. 30(5), 580-584 (2009)
[8] Tian, D.; Tao, Y.; Qin, M., Teleportation of an arbitrary two-qudit state based on the non-maximally four-qudit cluster state, Sci. China, Ser. G, 51, 1523-1528 (2008) · doi:10.1007/s11433-008-0149-8
[9] Nie, YY; Li, YH; Liu, JC; Sang, MH, Perfect teleportation of an arbitrary three-qubit state by using W-class states, Int. J. Theor. Phys., 50, 3225-3229 (2011) · Zbl 1236.81057 · doi:10.1007/s10773-011-0825-8
[10] Tsai, CW; Hwang, T., Teleportation of a pure EPR state via GHZ-like state, Int. J. Theor. Phys., 49, 8, 1969-1975 (2010) · Zbl 1197.81082 · doi:10.1007/s10773-010-0382-6
[11] Huelga, SF; Vaccaro, JA; Chefles, A.; Plenio, MB, Quantum remote control: teleportation of unitary operations, Phys. Rev. A, 63, 4, 042303 (2001) · Zbl 1255.81109 · doi:10.1103/PhysRevA.63.042303
[12] Weedbrook, C.; Pirandola, S.; García-Patrón, R.; Cerf, NJ; Ralph, TC; Shapiro, JH; Lloyd, S., Gaussian quantum information, Rev. Mod. Phys., 84, 2, 621 (2012) · doi:10.1103/RevModPhys.84.621
[13] Nielsen, MA; Chuang, I., Quantum computation and quantum information, Am J Phys, 70, 5, 558-559 (2002) · doi:10.1119/1.1463744
[14] Karimipour, V.; Rad, MS; Asoudeh, M., Perfect quantum state transfer in two-and three-dimensional structures, Phys. Rev. A, 85, 1 (2012) · doi:10.1103/PhysRevA.85.010302
[15] Gordon, G.; Rigolin, G., Generalized teleportation protocol, Phys Rev A, 73, 4, 042309 (2006) · doi:10.1103/PhysRevA.73.042309
[16] Karlsson, A.; Bournnane, M., Quantum teleportation using three-particle entanglement, Phys. Rev. A, 58, 6, 4394-4400 (1998) · doi:10.1103/PhysRevA.58.4394
[17] Deng, FG; Li, CY; Li, YS; Zhou, HY; Wang, Y., Symmetric multiparty-controlled teleportation of an arbitrary two-particle entanglement, Phys. Rev. A, 72, 2, 022338 (2005) · doi:10.1103/PhysRevA.72.022338
[18] Man, ZX; Xia, YJ; An, NB, Genuine multiqubit entanglement and controlled teleportation, Phys. Rev. A, 75, 5, 052306 (2007) · doi:10.1103/PhysRevA.75.052306
[19] Gao, T.; Yan, FL; Li, YC, Optimal controlled teleportation, Europhys. Lett., 84, 5, 50001 (2008) · doi:10.1209/0295-5075/84/50001
[20] Li, XH; Ghose, S., Control power in perfect controlled teleportation via partially entangled channels, Phys. Rev. A, 90, 5 (2014) · doi:10.1103/PhysRevA.90.052305
[21] Naseri, M.; Raji, MA; Hantehzadeh, MR; Farouk, A.; Boochani, A.; Solaymani, S., A scheme for secure quantum communication network with authentication using GHZ-like states and cluster states controlled teleportation, Quantum Inf. Process., 14, 4279-4295 (2015) · Zbl 1327.81094 · doi:10.1007/s11128-015-1107-9
[22] Hassanpour, S.; Houshmand, M., Bidirectional teleportation of a pure EPR state by using GHZ states, Quantum Inf. Process., 15, 2, 905-912 (2016) · Zbl 1333.81073 · doi:10.1007/s11128-015-1096-8
[23] Kazemikhah, P.; Aghababa, H., Bidirectional quantum teleportation of an arbitrary number of qubits by using four qubit cluster state, Int. J. Theor. Phys., 60, 378-386 (2021) · Zbl 1523.81037 · doi:10.1007/s10773-020-04704-w
[24] Verma, V., Bidirectional quantum teleportation by using two GHZ-states as the quantum channel, IEEE Commun. Lett., 25, 3, 936-939 (2020) · doi:10.1109/LCOMM.2020.3036587
[25] Mafi, Y.; Kazemikhah, P.; Ahmadkhaniha, A.; Aghababa, H.; Kolahdouz, M., Bidirectional quantum teleportation of an arbitrary number of qubits over a noisy quantum system using 2 n Bell states as quantum channel, Opt. Quant. Electron., 54, 9, 568 (2022) · doi:10.1007/s11082-022-03951-x
[26] Zha, XW; Zou, ZC; Qi, JX; Song, HY, Bidirectional quantum controlled teleportation via five-qubit cluster state, Int. J. Theor. Phys., 52, 1740-1744 (2013) · doi:10.1007/s10773-012-1208-5
[27] Chen, Y., Bidirectional controlled quantum teleportation by using five-qubit entangled state, Int. J. Theor. Phys., 53, 1454-1458 (2014) · Zbl 1304.81050 · doi:10.1007/s10773-013-1943-2
[28] Wang, M.; Li, HS, Bidirectional quantum teleportation using a five-qubit cluster state as a quantum channel, Quantum Inf. Process., 21, 2, 44 (2022) · Zbl 1508.81382 · doi:10.1007/s11128-021-03389-2
[29] Zhou, RG; Xu, R.; Lan, H., Bidirectional quantum teleportation by using six-qubit cluster state, IEEE Access, 7, 44269-44275 (2019) · doi:10.1109/ACCESS.2019.2901960
[30] Huo, G.; Zhang, T.; Zha, X.; Zhang, X.; Zhang, M., Controlled asymmetric bidirectional quantum teleportation of two-and three-qubit states, Quantum Inf. Process., 20, 1-11 (2021) · Zbl 1509.81207 · doi:10.1007/s11128-020-02956-3
[31] Hong, WQ, Asymmetric bidirectional controlled teleportation by using a seven-qubit entangled state, Int. J. Theor. Phys., 55, 384-387 (2016) · Zbl 1335.81041 · doi:10.1007/s10773-015-2671-6
[32] Zhang, D.; Zha, XW; Li, W.; Yu, Y., Bidirectional and asymmetric quantum controlled teleportation via maximally eight-qubit entangled state, Quantum Inf. Process., 14, 3835-3844 (2015) · Zbl 1327.81113 · doi:10.1007/s11128-015-1067-0
[33] Zhang, X.; Jin, W.; Zeng, H.; Feng, J.; Yang, C., Cost-Effective Bidirectional Controlled Quantum Teleportation Scheme by Using Nine-Qubit Entangled State, Int. J. Theor. Phys., 62, 5, 95-102 (2023) · Zbl 1528.81079 · doi:10.1007/s10773-023-05360-6
[34] Choudhury, BS; Samanta, S., Asymmetric bidirectional 3⇔ 2 qubit teleportation protocol between Alice and Bob via 9-qubit cluster state, Int. J. Theor. Phys., 56, 3285-3296 (2017) · Zbl 1387.81103 · doi:10.1007/s10773-017-3495-3
[35] Li, YH; Nie, LP, Bidirectional controlled teleportation by using a five-qubit composite GHZ-Bell state, Int. J. Theor. Phys., 52, 1630-1634 (2013) · doi:10.1007/s10773-013-1484-8
[36] Duan, YJ; Zha, XW; Sun, XM; Xia, JF, Bidirectional quantum controlled teleportation via a maximally seven-qubit entangled state, Int. J. Theor. Phys., 53, 2697-2707 (2014) · Zbl 1308.81045 · doi:10.1007/s10773-014-2065-1
[37] Li, YH; Jin, XM, Bidirectional controlled teleportation by using nine-qubit entangled state in noisy environments, Quantum Inf. Process., 15, 929-945 (2016) · Zbl 1333.81080 · doi:10.1007/s11128-015-1194-7
[38] Zhou, RG; Zhang, YN; Xu, R.; Qian, C.; Hou, I., Asymmetric bidirectional controlled teleportation by using nine-qubit entangled state in a noisy environment, IEEE Access, 7, 75247-75264 (2019) · doi:10.1109/ACCESS.2019.2920094
[39] Zhou, RG; Qian, C.; Xu, R., A novel protocol for bidirectional controlled quantum teleportation of two-qubit states via seven-qubit entangled state in a noisy environment, Int. J. Theor. Phys., 59, 134-148 (2020) · Zbl 1433.81048 · doi:10.1007/s10773-019-04302-5
[40] Sarvaghad-Moghaddam, M.; Ramezani, Z.; Amiri, IS, Bidirectional controlled quantum teleportation using the eight-qubit quantum channel in noisy environments, Int. J. Theor. Phys., 59, 3156-3173 (2020) · Zbl 1450.81021 · doi:10.1007/s10773-020-04569-z
[41] Jiang, SX; Zhou, RG; Xu, R.; Luo, G., Cyclic hybrid double-channel quantum communication via Bell-state and GHZ-state in noisy environments, IEEE Access, 7, 80530-80541 (2019) · doi:10.1109/ACCESS.2019.2923322
[42] Zhou, RG; Ling, C., Asymmetric Cyclic Controlled Quantum Teleportation by Using Nine-Qubit Entangled State, Int. J. Theor. Phys., 60, 9, 3435-3459 (2021) · Zbl 1528.81080 · doi:10.1007/s10773-021-04825-w
[43] Mafi, Y.; Kazemikhah, P.; Ahmadkhaniha, A., Bidirectional quantum teleportation of an arbitrary number of qubits over a noisy quantum system using 2 n Bell states as quantum channel, Opt Quantum Electron, 54, 9, 1-13 (2022) · doi:10.1007/s11082-022-03951-x
[44] Ekert, AK, Quantum cryptography based on Bell’s theorem, Phys. Rev. Lett., 67, 6, 661 (1991) · Zbl 0990.94509 · doi:10.1103/PhysRevLett.67.661
[45] Nielsen, MA; Chuang, IL, Quantum computation and quantum information, Phys. Today, 54, 2, 60 (2001)
[46] Bennett, CH; Brassard, G.; Ekert, AK, Quantum cryptography, Scic Am., 267, 4, 50-57 (1992) · doi:10.1038/scientificamerican1092-50
[47] Deng, FG; Long, GL; Liu, XS, Two-step quantum direct communication protocol using the Einstein-Podolsky-Rosen pair block, Phys. Rev. A, 68, 4, 042317 (2003) · doi:10.1103/PhysRevA.68.042317
[48] Yuan, H., Liu, Y.M., Zhang, W., Zhang, Z.J.: Optimizing resource consumption, operation complexity and efficiency in quantum-state sharing. J. Phys. B At. Mol. Opt. Phys. 41(14) (2008)
[49] Liang, XT, Classical information capacities of some single qubit quantum noisy channels, Commun. Theor. Phys., 39, 5, 537-542 (2003) · doi:10.1088/0253-6102/39/5/537
[50] Choudhury, BS; Samanta, S., Asymmetric bidirectional quantum state exchange between Alice and Bob through a third party, Optik, 231, 166435 (2021) · doi:10.1016/j.ijleo.2021.166435
[51] Kazemikhah, P., Tabalvandani, M.B., Mafi, Y., Aghababa, H.: Asymmetric bidirectional controlled quantum teleportation using eight qubit cluster state. Int. J. Theor. Phys. 61(2) (2022) · Zbl 1486.81045
[52] Zhang, D.; Zha, XW; Duan, YJ, Bidirectional and asymmetric quantum controlled teleportation, Int. J. Theor. Phys., 54, 5, 1711-1719 (2015) · Zbl 1327.81114 · doi:10.1007/s10773-014-2372-6
[53] Kaur, S.; Gill, S., Asymmetric Controlled Quantum Teleportation Via Eight-Qubit Entangled State in a Noisy Environment, Int. J. Theor. Phys., 62, 2, 31 (2023) · Zbl 1526.81013 · doi:10.1007/s10773-023-05289-w
[54] Kaur, S., Lal, J., Gill, S.: Bidirectional quantum controlled teleportation of unique four-qubit states by newly entangled 15-qubit state. Opt. Quant. Electron. 55(7) (2023). doi:10.1007/s11082-023-04829-2
This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching.