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A classical probability space exists for the measurement theory based on the truth values

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Abstract

Recently, a new measurement theory based on the truth values is proposed [38]. The results of measurements are either 0 or 1. The measurement theory accepts a hidden variable model for a single Pauli observable. Therefore, we can introduce a classical probability space for the measurement theory. Our discussion provides new insight to formulate quantum measurement theory based on the truth values.

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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

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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. A classical probability space exists for the measurement theory based on the truth values. Quantum Stud.: Math. Found. 4, 7–11 (2017). https://doi.org/10.1007/s40509-016-0083-9

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  • DOI: https://doi.org/10.1007/s40509-016-0083-9

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