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Quantum Algorithm for Evaluating Two of Logical Functions Simultaneously

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Abstract

Recently, a parallel computation for all of the combinations of values in variables of a logical function is proposed (Nagata and Nakamura, Int. J. Theor. Phys. 59, 611 2020). Here, we propose a quantum algorithm for evaluating simultaneously two of logical functions which are constructed based on a boolean algebra stemmed from atoms in it. Finally, we discuss that all of the logical functions are evaluated simultaneously by using parallel computing based on many quantum systems.

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References

  1. Nagata, K., Nakamura, T.: Some theoretically organized algorithm for quantum computers. Int. J. Theor. Phys. 59, 611 (2020)

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  2. Gilbert, W.J., Nicholson, W.K.: Modern algebra with applications. John Wiley and Sons, Inc, 2nd edn (2004)

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Acknowledgments

We thank Professor Do Ngoc Diep, Professor Shahrokh Heidari, Professor Germano Resconi, Professor Jaewook Ahn, and Professor Han Geurdes for valuable comments.

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Authors and Affiliations

  1. Department of Physics, Korea Advanced Institute of Science and Technology, Daejeon, 34141, Korea

    Koji Nagata

  2. Department of Information and Computer Science, Keio University, 3-14-1 Hiyoshi, Kohoku-ku, Yokohama, 223-8522, Japan

    Tadao Nakamura

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  1. Koji Nagata
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  2. Tadao Nakamura
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Correspondence to Koji Nagata.

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Nagata, K., Nakamura, T. Quantum Algorithm for Evaluating Two of Logical Functions Simultaneously. Int J Theor Phys 59, 2191–2197 (2020). https://doi.org/10.1007/s10773-020-04493-2

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  • DOI: https://doi.org/10.1007/s10773-020-04493-2

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