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Erratum to “Quantum Algorithm for Mining Frequent Patterns for Association Rule Mining” [Journal of Quantum Information Science 13 (2023) 1-23]

DOI: 10.4236/jqis.2024.142005, PP. 68-68

Keywords: Erratum

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Abstract:

The original online version of this article (Abdirahman Alasow, Marek Perkowski (2023) Quantum Algorithm for Mining Frequent Patterns for Association Rule Mining. Journal of Quantum Information Science, 13, 1-23. https://doi.org/10.4236/jqis.2023.131001 unfortunately contains a mistake. The authors would like to clarify that Figure 11 and Figure 13 in our paper use a variant of diffusion quantum circuit that is not a standard Grover diffusion operator for the Boolean oracles and the phase oracles of L.K. Grover as presented in [1]-[3]. However, this variant of diffusion quantum circuit in those figures is the same as the quantum diffuser proposed by [4], which is the so-called “controlled-diffusion operator”.

References

[1]  Grover, L.K. (1996) A Fast Quantum Mechanical Algorithm for Database Search. Proceedings of the 28th Annual ACM Symposium on Theory of Computing, Philadelphia, 22-24 May 1996, 212-219.
https://doi.org/10.1145/237814.237866
[2]  Grover, L.K. (1997) Quantum Mechanics Helps in Searching for a Needle in a Haystack. Physical Review Letters, 79, 325.
https://doi.org/10.1103/PhysRevLett.79.325
[3]  Grover, L.K. (1998) A Framework for Fast Quantum Mechanical Algorithms. Proceedings of the 30th Annual ACM Symposium on Theory of Computing, Dallas, 24-26 May 1998, 53-62.
https://doi.org/10.1145/276698.276712
[4]  Al-Bayaty, A. and Perkowski, M. (2023) A Concept of Controlling Grover Diffusion Operator: A New Approach to Solve Arbitrary Boolean-Based Problems. Nature.
https://doi.org/10.21203/rs.3.rs-2997276/v1

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