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Measurement Theory in Deutsch’s Algorithm Based on the Truth Values

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Abstract

We propose a new measurement theory, in qubits handling, based on the truth values, i.e., the truth T (1) for true and the falsity F (0) for false. The results of measurement are either 0 or 1. To implement Deutsch’s algorithm, we need both observability and controllability of a quantum state. The new measurement theory can satisfy these two. Especially, we systematically describe our assertion based on more mathematical analysis using raw data in a thoughtful experiment.

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Authors and Affiliations

  1. Department of Physics, Korea Advanced Institute of Science and Technology, Daejeon, 305-701, Korea

    Koji Nagata

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

    Tadao Nakamura

Authors
  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. Measurement Theory in Deutsch’s Algorithm Based on the Truth Values. Int J Theor Phys 55, 3616–3621 (2016). https://doi.org/10.1007/s10773-016-2990-2

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  • DOI: https://doi.org/10.1007/s10773-016-2990-2

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