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Generalization of Deutsch’s Algorithm

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Abstract

Deutsch’s algorithm determines if the given function is constant or balanced. We generalize Deutsch’s algorithm based on the method proposed in Nagata and Nakamura (Int. J. Theor. Phys. 59, 611, 2020). Generalized Deutsch’s algorithm determines all the mappings of the given function.

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Acknowledgments

We thank Professor Do Ngoc Diep, Professor Shahrokh Heidari, Professor Germano Resconi, Professor Santanu Kumar Patro, 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. Generalization of Deutsch’s Algorithm. Int J Theor Phys 59, 2557–2561 (2020). https://doi.org/10.1007/s10773-020-04522-0

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  • DOI: https://doi.org/10.1007/s10773-020-04522-0

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