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Some Theoretically Organized Algorithm for Quantum Computers

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Abstract

We first propose herein a novel parallel computation, even though today’s algorithm methodology for quantum computing, for all of the combinations of values in variables of a logical function. Our concern so far has been to obtain an attribute of some function. In fact such a task is only for one task problem solving. However, we could treat positively the plural evaluations of some logic function in parallel instead of testing the function for finding out its attribute. In fact, these evaluations of the function are naturally included and evaluated, in parallel, in normal quantum computing discussing a function in a Boolean algebra stemmed from atoms in it. As is naturally understandable with mathematics, quantum computing naturally meets the category of a Boolean algebra. The reason why we positively introduce a Boolean algebra here is because we have multiple evaluations of a function in quantum computing general.

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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. Some Theoretically Organized Algorithm for Quantum Computers. Int J Theor Phys 59, 611–621 (2020). https://doi.org/10.1007/s10773-019-04354-7

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  • DOI: https://doi.org/10.1007/s10773-019-04354-7

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