Abstract
Taking the controlled remote preparation of an arbitrary two-qubit state via the Brown state as an example, we investigate how the scheme is influenced by five-type noises, i.e., the bit flip, phase flip, bit-phase flip, amplitude-damping and phase-damping noise. The fidelity is adopted to describe how close the output state with the prepared state are. It can be seen that the fidelity is related to the coefficients of the prepared state and the noise parameter under five-type noises. Interestingly, the fidelity is connected with the participators’ measurement results under the amplitude-damping noise, but it is not true under other noises.
This is a preview of subscription content, log in via an institution to check access.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Similar content being viewed by others
References
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 (1993)
Lo, H.K.: Classical communication cost in distributed quantum information processing - a generalization of quantum communication complexity. Phys. Rev. A 62, 012313 (2000)
Devetak, I., Berger, T.: Low-entanglement remote state preparation. Phys. Rev. Lett. 87, 197901 (2001)
Berry, D.W., Sanders, B.C.: Optimal remote state preparation. Phys. Rev. Lett. 90, 057901 (2003)
Leung, D.W., Shor, P.W.: Oblivious remote state preparation. Phys. Rev. Lett. 90, 127905 (2003)
Ma, S.Y., Chen, X.B., Luo, M.X., Zhang, R., Yang, Y.X.: Remote preparation of a four-particle entangled cluster-type state. Opt. Commun. 284, 4088 (2011)
Ma, S.Y., Tang, P., Chen, X.B., Yang, Y.X.: Schemes for remotely preparing a six-particle entangled cluster-type state. Int. J. Theor. Phys. 52, 968 (2013)
Peng, X.H., Zhu, X.W., Fang, X.M., Feng, M., Liu, M.L., Gao, K.L.: Experimental implementation of remote state preparation by nuclear magnetic resonance. Phys. Lett. A 306, 271 (2003)
Erhard, M., Qassim, H., Mand, H., Karimi, E., Boyd, R.W.: Real-time imaging of spin-to-orbital angular momentum hybrid remote state preparation. Phys. Rev. A 92, 022321 (2015)
Barreiro, J.T., Wei, T.C., Kwiat, P.G.: Remote preparation of single-photon “hybrid” entangled and vector-polarization states. Phys. Rev. Lett. 105, 030407 (2010)
An, N.B.: Joint remote state preparation via W and W-type states. Opt. Commun. 283, 4113 (2010)
An, N.B., Cao, T.B., Don, N.V.: Deterministic joint remote state preparation. Phys. Lett. A 375, 3570 (2011)
Wang, D., Zha, X.W., Lan, Q.: Joint remote state preparation of arbitrary two-qubit state with six-qubit state. Opt. Commun. 284, 5853 (2011)
Xia, Y., Chen, Q.Q., An, N.B.: Deterministic joint remote preparation of an arbitrary three-qubit state via EPR pairs. J. Phys. A Math. Theor. 45, 055303 (2012)
Song, J.F., Wang, Z.Y.: Controlled remote preparation of a two-qubit state via positive operator-valued measure and two three-qubit entanglements. Int. J. Theor. Phys. 50, 2410 (2011)
Chen, X.B., Ma, S.Y., Su, Y., Zhang, R., Yang, Y.X.: Controlled remote state preparation of arbitrary two and three qubit states via the Brown state. Quantum Inform. Process. 11, 1653 (2012)
Wang, C., Zeng, Z., Li, X.H.: Controlled remote state preparation via partially entangled quantum channel. Quantum Inform. Process. 14, 1077 (2015)
Gao, C., Ma, S.Y., Chen, W.L.: Controlled remote preparation via the Brown state with no restriction. Int. J. Theor. Phys. 55, 2643 (2016)
Guan, X.W., Chen, X.B., Wang, L.C., Yang, Y.X.: Joint remote preparation of an arbitrary two-qubit state in noisy environments. Int. J. Theor. Phys. 53, 2236 (2014)
Liang, H.Q., Liu, J.M., Feng, S.S., Chen, J.G., Xu, X.Y.: Effects of noises on joint remote state preparation via a GHZ-class channel. Quantum Inform. Process. 14, 3857 (2015)
Ma, S.Y., Gao, C., Zhang, P., Qu, Z.G.: Deterministic remote preparation via the Brown state. Quantum Inform. Process. 16, 93 (2017)
Wang, M.M., Qu, Z.G., Wang, W., Chen, J.G.: Effect of noise on deterministic joint remote preparation of an arbitrary two-qubit state. Quantum Inform. Process. 16, 140 (2017)
Adepoju, A.G., Falaye, B.J., Sun, G.H., Camacho-Nieto, O., Dong, S.H.: Joint remote state preparation (JRSP) of two-qubit equatorial state in quantum noisy channels. Phys. Lett. A 381, 581 (2017)
Acknowledgements
This work is supported by the National Natural Science Foundation of China (Nos. 61201253, 61572246), the program for science and technology innovation research team in universities of Henan province (No. 18IRTSTHN014), Foundation of Science and Technology on Information Assurance Laboratory (No. KJ-17-003)
Author information
Authors and Affiliations
Corresponding author
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2018 Springer Nature Switzerland AG
About this paper
Cite this paper
Dong, T., Ma, SY., Zhang, P. (2018). Controlled Remote Preparation of an Arbitrary Two-Qubit State via the Brown State Under the Noisy Environment. In: Sun, X., Pan, Z., Bertino, E. (eds) Cloud Computing and Security. ICCCS 2018. Lecture Notes in Computer Science(), vol 11064. Springer, Cham. https://doi.org/10.1007/978-3-030-00009-7_58
Download citation
DOI: https://doi.org/10.1007/978-3-030-00009-7_58
Published:
Publisher Name: Springer, Cham
Print ISBN: 978-3-030-00008-0
Online ISBN: 978-3-030-00009-7
eBook Packages: Computer ScienceComputer Science (R0)