DECODING A TELEPORTED BOOLEAN FUNCTION BASED ON THE EXTENDED DEUTSCH-JOZSA ALGORITHM
DOI:
https://doi.org/10.32010/26166127.2021.4.1.48.52Keywords:
Teleportation, Computing models, Concurrence Measure, Boolean Function, Deutsch-Jozsa algorithmAbstract
Quantum teleportation opened the realm of quantum information, such that a two communicated sender and a receiver ’’Alice and Bob” can teleport an unknown quantum state in between. Consequently, computation on the qubits has become feasible. In this paper, we propose a teleportation model to teleport a multivariate Boolean function based on the integration between teleportation protocol and the extended Deutsch-Jozsa algorithm. The proposed model uses the teleportation protocol to teleport the multivariate Boolean function through an unknown qubit from Alice to Bob. Then, it uses the extended Deutsch-Jozsa algorithm to decode the class of teleported function among 2n possible classes.
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References
Batle, J., Ooi, C. R., et al. (2016). Nonlocality in pure and mixed n-qubit X states. Quantum Information Processing, 15(4), 1553-1567.
Chou, K. S., Blumoff, J. Z., et al. (2018). Deterministic teleportation of a quantum gate between two logical qubits. Nature, 561(7723), 368-373.
Farouk, A., Zakaria, M., et al. (2015). A generalized architecture of quantum secure direct communication for N disjointed users with authentication. Scientific Reports, 5(1), 1-17.
Luo, Y. H., Zhong, H. S., et al. (2019). Quantum teleportation in high dimensions. Physical Review Letters, 123(7), 070505.
Nagata, K., Nakamura, T., & Farouk, A. (2017). Quantum cryptography based on the Deutsch-Jozsa algorithm. International Journal of Theoretical Physics, 56(9), 2887-2897.
Nguyen, D. M., & Kim, S. (2019). Multi-bits transfer based on the quantum three-stage protocol with quantum error correction codes. International Journal of Theoretical Physics, 58(6), 2043-2053.
Nguyen, D. M., & Kim, S. (2019). Quantum key distribution protocol based on modified generalization of Deutsch-Jozsa algorithm in d-level quantum system. International Journal of Theoretical Physics, 58(1), 71-82.
Nguyen, D. M., & Kim, S. (2019). The fog on: Generalized teleportation by means of discrete-time quantum walks on N-lines and N-cycles. Modern Physics Letters B, 33(23), 1950270.
Ren, J. G., Xu, P., et al. (2017). Ground-to-satellite quantum teleportation. Nature, 549(7670), 70-73.
Sagheer, A., Zidan, M., & Abdelsamea, M. M. (2019). A novel autonomous perceptron model for pattern classification applications. Entropy, 21(8), 763.
Xu, P., Ma, Y., et al. (2019). Satellite testing of a gravitationally induced quantum decoherence model. Science, 366(6461), 132-135.
Zidan, M. (2020). A novel quantum computing model based on entanglement degree. Modern Physics Letters B, 34(35), 2050401.
Zidan, M., Abdel-Aty, A. H., et al. (2019a). A quantum algorithm based on entanglement measure for classifying Boolean multivariate function into novel hidden classes. Results in Physics, 15, 102549.
Zidan, M., Abdel-Aty, A. H., et al. (2019b). Quantum classification algorithm based on competitive learning neural network and entanglement measure. Applied Sciences, 9(7), 1277.
Zidan, M., Abdel-Aty, A., et al. (2018). A novel algorithm based on entanglement measurement for improving speed of quantum algorithms. Appl. Math. Inf. Sci, 12(1), 265-269.
Zidan, M., Abdel-Aty, et al. (2017, November). Low-cost autonomous perceptron neural network inspired by quantum computation. In AIP Conference Proceedings (Vol. 1905, No. 1, p. 020005). AIP Publishing LLC.
