Abstract
In this work, a novel protocol is proposed for bidirectional controlled quantum teleportation (BCQT) in which a quantum channel is used with the eight-qubit entangled state. Using the protocol, two users can teleport an arbitrary entangled state and a pure two-qubit state (QBS) to each other simultaneously under the permission of a third party in the role of controller. This protocol is based on the controlled-not operation, appropriate single-qubit (SIQ) UOs, and SIQ measurements in the Z and X-basis. Also, in this paper, a new criterion of merit named as (predictability of the controller’s qubit (QB) by the eavesdropper) is introduced, and the protocol is improved based on it. Then, the proposed protocol is investigated in two typical noisy channels, the amplitude-damping noise (ADN) and the phase-damping noise (PDN). The analysis of the protocol in the noisy environment shows that it only depends on the amplitude of the initial state and the decoherence noisy rate (DR).
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References
Nielsen, M.A., Chuang, I.L.: Quantum Computation and Quantum Information. Cambridge University Press, Cambridge (2001)
Bennett, C.H., Brassard, G., Crepeau, C., Jozsa, R., Peres, A., Wootters, W.K.: Teleporting an unknown quantum state via dual classical and Einstein-Podolsky-Rosen channels. Phys. Rev. Lett. 70, 1895–1899 (1993)
Shi, B.-S., Tomita, A.: Teleportation of an unknown state by W state. Phys. Lett. A. 296, 161–164 (2002)
Ursin, R., Jennewein, T., Aspelmeyer, M., Kaltenbaek, R., Lindenthal, M., Walther, P., Zeilinger, A.: Communications: quantum teleportation across the Danube. Nature. 430, 849–849 (2004)
Agrawal, P., Pati, A.: Perfect teleportation and superdense coding with W states. Phys. Rev. A. 74, 062320 (2006)
Muralidharan, S., Panigrahi, P.K.: Perfect teleportation, quantum-state sharing, and superdense coding through a genuinely entangled five-qubit state. Phys. Rev. A. 77, 032321 (2008)
Tang, S.-Q., Shan, C.-J., Zhang, X.-X.: Quantum teleportation of an unknown two-atom entangled state using four-atom cluster state. Int. J. Theor. Phys. 49, 1899–1903 (2010)
Nie, Y.-y., Li, Y.-h., Liu, J.-c., Sang, M.-h.: Perfect teleportation of an arbitrary three-qubit state by using W-class states. Int. J. Theor. Phys. 50, 3225–3229 (2011)
Yuan-Hua, L., Yi-You, N.: Quantum information splitting of an arbitrary three-atom state by using W-class states in cavity QED. Commun. Theor. Phys. 57, 995 (2012)
Luo, M.-X., Deng, Y.: Quantum splitting an arbitrary three-qubit state with χ-state. Quantum Inf. Process. 1–12 (2013)
Li, Y.-h., Li, X.-l., Sang, M.-h., Nie, Y.-y.: Splitting unknown two-qubit state using five-qubit entangled state. Int. J. Theor. Phys. 53, 111–115 (2014)
Nandi, K., Mazumdar, C.: Quantum teleportation of a two qubit state using GHZ-like state. Int. J. Theor. Phys. 53, 1322–1324 (2014)
Sang, M.-h.: Bidirectional quantum teleportation by using five-qubit cluster state. Int. J. Theor. Phys. 55(3), 1333–1335 (2016)
Zhou, R.-G., Li, X., Qian, C., Ian, H.: Quantum bidirectional teleportation 2↔ 2 or 2↔ 3 Qubit teleportation protocol via 6-Qubit entangled state. Int. J. Theor. Phys. 59(1), 166–172 (2020)
Koochaki, F., Sharifi, I., Talebi, H.A.: A novel architecture for cooperative remote rehabilitation system. Comput. Electr. Eng. 56, 715–731 (2016)
Karlsson, A., Bourennane, M.: Quantum teleportation using three-particle entanglement. Phys. Rev. A. 58, 4394–4400 (1998)
Yang, C.-P., Han, S.: A scheme for the teleportation of multiqubit quantum information via the control of many agents in a network. Phys. Lett. A. 343, 267–273 (2005)
Deng, F.-G., Li, C.-Y., Li, Y.-S., Zhou, H.-Y., Wang, Y.: Symmetric multiparty-controlled teleportation of an arbitrary two-particle entanglement. Phys. Rev. A. 72, 022338 (2005)
Wang, Y.-H., Song, H.-S.: Preparation of partially entangled W state and deterministic multi-controlled teleportation. Opt. Commun. 281, 489–493 (2008)
Song-Song, L., Yi-You, N., Zhi-Hui, H., Xiao-Jie, Y., Yi-Bin, H.: Controlled teleportation using four-particle cluster state. Commun. Theor. Phys. 50, 633–636 (2008)
Wang, X.-W., Su, Y.-H., Yang, G.-J.: Controlled teleportation against uncooperation of part of supervisors. Quantum Inf. Process. 8, 319–330 (2009)
Tian-Yin, W., Qiao-Yan, W.: Controlled quantum teleportation with bell states. Chinese Physics B. 20, 040307 (2011)
Zha, X.-W., Zou, Z.-C., Qi, J.-X., Song, H.-Y.: Bidirectional quantum controlled teleportation via five-qubit cluster state. Int. J. Theor. Phys. 52, 1740–1744 (2013)
Shukla, C., Banerjee, A., Pathak, A.: Bidirectional controlled teleportation by using 5-qubit states: a generalized view. Int. J. Theor. Phys. 52, 3790–3796 (2013)
S. Hassanpour and M. Houshmand: Bidirectional quantum controlled teleportation by using EPR states and entanglement swapping, arXiv preprint arXiv:1502.03551, (2015)
Amiri, I.S., Alavi, S.E., Bahadoran, M., Afroozeh, A., Ahmad, H.: Nanometer bandwidth Soliton generation and experimental transmission within nonlinear Fiber optics using an add-drop filter system. J. Comput. Theor. Nanosci. 12, 221–225 (Feb 2015)
Hong, W.-q.: Asymmetric bidirectional controlled teleportation by using a seven-qubit entangled state. Int. J. Theor. Phys. 55, 384–387 (2016)
Sang, M.-h.: Bidirectional quantum controlled teleportation by using a seven-qubit entangled state. Int. J. Theor. Phys. 55, 380–383 (2016)
Li, Y.-h., Jin, X.-m.: Bidirectional controlled teleportation by using nine-qubit entangled state in noisy environments. Quantum Inf. Process. 15, 929–945 (2016)
Li, Y.-h., Nie, L.-p., Li, X.-l., Sang, M.-h.: Asymmetric bidirectional controlled teleportation by using six-qubit cluster state. Int. J. Theor. Phys. 55, 3008–3016 (2016)
Choudhury, B.S., Samanta, S.: Asymmetric bidirectional 3⇔ 2 qubit teleportation protocol between Alice and bob via 9-qubit cluster state. Int. J. Theor. Phys. 56(10), 3285–3296 (2017)
Zheng, S.-B.: Scheme for approximate conditional teleportation of an unknown atomic state without the bell-state measurement. Phys. Rev. A. 69, 064302 (2004)
Riebe, M., Häffner, H., Roos, C., Hänsel, W., Benhelm, J., Lancaster, G., et al.: Deterministic quantum teleportation with atoms. Nature. 429, 734–737 (2004)
Bouwmeester, D., Pan, J.-W., Mattle, K., Eibl, M., Weinfurter, H., Zeilinger, A.: Experimental quantum teleportation. Nature. 390, 575–579 (1997)
Wang, X.-L., Cai, X.-D., Su, Z.-E., Chen, M.-C., Wu, D., Li, L., Liu, N.L., Lu, C.Y., Pan, J.W.: Quantum teleportation of multiple degrees of freedom of a single photon. Nature. 518, 516–519 (2015)
Metcalf, B.J., Spring, J.B., Humphreys, P.C., Thomas-Peter, N., Barbieri, M., Kolthammer, W.S., Jin, X.M., Langford, N.K., Kundys, D., Gates, J.C., Smith, B.J., Smith, P.G.R., Walmsley, I.A.: Quantum teleportation on a photonic chip. Nat. Photonics. 8, 770–774 (2014)
Xian-Ting, L.: Classical information capacities of some single qubit quantum noisy channels. Commun. Theor. Phys. 39, 537–542 (2003)
Zadeh, M.S.S., 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. 1–12 (2017)
N. Nickerson: Practical Fault-Tolerant Quantum Computing, (2015)
Eisert, J., Jacobs, K., Papadopoulos, P., Plenio, M.: Optimal local implementation of nonlocal quantum gates. Phys. Rev. A. 62, 052317 (2000)
Chen, Y.: Bidirectional quantum controlled teleportation by using a genuine six-qubit entangled state. Int. J. Theor. Phys. 54(1), 269–272 (2015)
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Sarvaghad-Moghaddam, M., Ramezani, Z. & Amiri, I.S. Bidirectional Controlled Quantum Teleportation Using Eight-Qubit Quantum Channel in Noisy Environments. Int J Theor Phys 59, 3156–3173 (2020). https://doi.org/10.1007/s10773-020-04569-z
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DOI: https://doi.org/10.1007/s10773-020-04569-z