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Zidan’s Model of Quantum Computing

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Zidan’s Model of Quantum Computing is a model of a quantum computation was proposed by Mohammed Zidan [1][2][3][4]. The first idea of this model proposed in 2018. The complete frame work of this model is achieved in 2020[5]. Zidan’s model uses the principles of quantum superposition phenomena and concurrence measure to find the solution of the quantum problem at hands based on the degree of entanglement between two extra qubits using one of two techniques [5][6]. In other words, Zidan’s model solves the quantum problem at hands by applying some unitary transformation(s) on a system of size n qubits, then measures the degree of entanglement (by concurrence measure) between two ancillary qubits. Hence, the solution of the problem at hands is obtained based on the concurrence value. Some recently developed quantum algorithms and quantum machine learning approaches are based on Zidan’s model[7][8] such as implementing competitive learning quantum mechanically, testing junta variables, measuring the Hamming distance between Boolean functions, and solving the extended version of Deutsch-Jozsa problem.[9][10]

References[edit]

  1. P. Hu, X. Liu, Three classes of new EAQEC MDS codes. Quantum Inf Process 20, 103 (2021). https://doi.org/10.1007/s11128-021-03039-7
  2. Maji, R., Behera, B.K. & Panigrahi, P.K. Solving Linear Systems of Equations by Using the Concept of Grover’s Search Algorithm: an IBM Quantum Experience. Int J Theor Phys (2021). https://doi.org/10.1007/s10773-021-04817-w
  3. Y. Fan, H. Cao, L. Chen, et al. Stronger uncertainty relations of mixed states. Quantum Inf Process 19, 256 (2020). https://doi.org/10.1007/s11128-020-02761-y
  4. W. Hu, R.-G. Zhou, X. Li et al, A novel dynamic quantum secret sharing in high-dimensional quantum system. Quantum Inf Process 20, 159 (2021). https://doi.org/10.1007/s11128-021-03103-2
  5. 5.0 5.1 M. Zidan, A novel quantum computing model based on entanglement degree, Modern Physics Letters B 34 (35), 2050401, 2019
  6. C.-W. Tsai, J. Lin, & C.-W. Yang, Cryptanalysis and improvement in semi-quantum private comparison based on Bell states. Quantum Inf Process 20, 120 (2021). https://doi.org/10.1007/s11128-021-03047-7
  7. M. Zidan, A. Abdel-Aty, D. M. Nguyene, A.S.A. Mohamed, Y. Al-Sboug, H. Eleuch, M. Abdel-Aty, A quantum algorithm based on entanglement measure for classifying multivariate function into novel hidden classes. Results Phys. 15, 102549 (2019)
  8. M. Zidan, A. H. Abdel-Aty, M. El-shafei, M. Feraig, Y. Al-Sbou, H. Eleuch, M. Abdel-Aty, Quantum classifcation algorithm based on competitive learning neural network and entanglement measure. Appl. Sci. 9(7), 1277 (2019)
  9. M Zidan, H Eleuch, M Abdel-Aty, Non-classical computing problems: Toward novel type of quantum computing problems, Results in Physics 21, 103536, 2021
  10. M Zidan, AH Abdel-Aty, DM Nguyen, ASA Mohamed, Y Al-Sbou, H Eleuch, et al. A quantum algorithm based on entanglement measure for classifying Boolean multivariate function into novel hidden classes, Results in Physics 15, 102549, 2019


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