Abstract
We present a novel scheme of cyclic remote state preparation via a six-qubit entangled state as the quantum channel. By introducing three auxiliary particles and using feedforward measurement strategy, Alice can remotely prepare an arbitrary single-qubit quantum state for Bob, Bob can remotely prepare an arbitrary single-qubit quantum state on Charlie’s site and Charlie can also remotely prepare an arbitrary single-qubit quantum state for Alice. It is pointed out that the cyclic remote preparation in the opposite direction can be perfectly achieved by changing the quantum channel. Furthermore, we generalize the above scheme to systems having N observers, so that cyclic remote state preparation can be realized in quantum information networks with N observers in different directions by changing quantum channels.
Similar content being viewed by others
References
Lo, H.K.: Classical-communication cost in distributed quantum-information processing: a generalization of quantum-communication complexity. Phys. Rev. A 62, 012313 (2000)
Bennett, C.H., DiVincenzo, D.P., Shor, et al.: Remote state preparation. Phys. Rev. Lett. 87, 077902 (2001)
Peters, N.A., Barreiro, J.T., Goggin, M.E., et al.: Remote state preparation: arbitrary remote control of photon polarization. Phys. Rev. Lett. 94, 150502 (2005)
Wei, J., Shi, L., Zhu, Y., et al: Deterministic remote preparation of arbitrary multi-qubit equatorial states via two-qubit entangled states. Quantum Inf. Process. 17, 70 (2018)
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)
Kurucz, Z., Adam, P., Kis, Z., Janszky, J.: Continuous variable remote state preparation. Phys. Rev. A 72, 052315 (2005)
An, N.B., Kim, J.: Joint remote state preparation. J. Phys. B At. Mol. Opt. Phys. 41, 095501 (2008)
Luo, M.X., Chen, X.B., Ma, S.Y., Niu, X.X., Yang, Y.X.: Joint remote preparation of an arbitrary three-qubit state. Opt. Commun. 83, 4796–4801 (2010)
Luo, M.X., Peng, J.Y., Mo, Z.W., Joint, R.S.P.: of an arbitrary five-qubit Brown state. Int. J. Theor. Phys. 52, 644–653 (2013)
Ma, S.Y., Luo, M.X.: Schemes for remotely preparing an arbitrary five Cqubit Brown -type state. Int. J. Quantum Inform. 11, 1350042 (2013)
Zhang, Z.H., Shu, L., Mo, Z.W., Zheng, J., Ma, S.Y., Luo, M.X.: Joint remote state preparation between multi-sender and multi-receiver. Quantum Inf. Process 13, 1979–2005 (2014)
Ma, S.Y., Gao, C., Luo, M.X.: Efficient schemes of joint remote preparation with a passive receiver via EPR pairs. Chin. Phys. B 24, 110308 (2015)
Peng, J.Y., Luo, M.X., Mo, Z.W., et al.: Flexible deterministic joint remote state preparation of some states. Int. J. Quantum Inf. 11, 1350044 (2013)
Peng, J.Y., Bai, M.Q., Mo, Z.W.: Joint remote state preparation of arbitrary two-particle states via GHZ-type states. Quantum Inf. Process. 12, 2325–2342 (2013)
Shukla, C., Thapliyal, K., Pathak, A.: Hierarchical joint remote state preparation in noisy environment. Quantum Inf. Process. 16, 205 (2017)
Peng, J.Y., Bai, M.Q., Mo, Z.W.: Joint remote state preparation of a four-dimensional quantum stste. Chin. Phys. Lett. 31, 010301 (2014)
Zhang, D., Zha, X.W., Duan, Y., et al.: Deterministic controlled bidirectional remote state preparation via a six-qubit entangled state. Quantum Inf. Process. 15, 2169 (2016)
Peng, J.Y., Bai, M.Q., Mo, Z.W.: Bidirectional controlled joint remote state preparation. Quantum Inf. Process. 14, 4263–4278 (2015)
Wang, Z.Y., Song, J.F.: Controlled remote prepartion of a two-qubit state via positive operator-valued measure and two three-qubit entanglements. Int. J. Theor. Phys. 50, 2410 (2011)
Luo, M.X., Chen, X.B., Ma, S.Y., Yang, Y.X., Hu, Z.M.: Remote preparation of an arbitrary two-qubit state with three-party. Int. J. Theor. Phys. 49, 1262 (2010)
Liu, L.L., Hwang T.: Controlled remote state preparation protocols via AKLT states. Quantum Inf. Process. 13, 1639 (2014)
Wang, X., Mo, Z.W.: Bidirectional controlled joint remote state preparation via a seven-qubit entangled state. Int. J. Theor. Phys. 56, 1052 (2017)
Chen, Y.X., Du, J., Liu, S.Y., et al.: Cyclic quantum teleportation. Quantum Inf. Process. 16(8), 1–9 (2017)
Sang, M.H., Nie, Y.Y.: Deterministic tripartite controlled remote state preparation. Int. J. Theor. Phys. 56(10), 3092–3095 (2017)
Zha, X.W., Yu, X.Y., Cao, Y.: Tripartite controlled remote state preparation via a seven-qubit entangled state and three auxiliary particles. Int. J. Theor. Phys. 58, 282–293 (2019)
Luo, M.X.: Computationally efficient nonlinear bell inequalities for quantum networks. Phys. Rev. Lett. 120, 140402 (2018)
Luo, M.X.: A nonlocal game for witnessing quantum networks. npj Quantum Inf. 5, 91 (2019)
Luo, M.X.: Nonsignaling causal hierarchy of general multisource networks. Phys. Rev. A 101, 062317 (2020)
Zhang, D., Zha, X.W., Li, W., Yu, Y.: Bidirectional and asymmetric quantum controlled teleportation via maximally eight-qubit entangled state. Quantum Inf. Process 14, 3835–3844 (2015)
Author information
Authors and Affiliations
Corresponding author
Additional information
Publisher’s Note
Springer Nature remains neutral with regard to jurisdictional claims in published maps and institutional affiliations.
Rights and permissions
About this article
Cite this article
Jia-yin, P., Hong-xuan, L. Cyclic Remote State Preparation. Int J Theor Phys 60, 1593–1602 (2021). https://doi.org/10.1007/s10773-021-04782-4
Received:
Accepted:
Published:
Issue Date:
DOI: https://doi.org/10.1007/s10773-021-04782-4