Quantum Physics

    

Does a Classical Probability Space for Two-Dimensional Quantum Measurement Theory Exist?

Authors: Koji Nagata, Tadao Nakamura

Recently, a new measurement theory based on the truth values is proposed \cite{NN1}. The results of measurements are either 0 or 1. The measurement theory accepts a hidden variables model for a single Pauli observable. Therefore we can introduce a classical probability space for the measurement theory in this case. On the other hand, we discuss the fact that the projective measurement theory (the results of measurements are either $+1$ or $-1$) does not meet a hidden variables model for a single Pauli observable. Hence we cannot introduce a classical probability space for the projective measurement theory in this case. Our discussion provides new insight to formulate quantum measurement theory, by using the measurement theory based on the truth values.

Comments: 4 pages

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Submission history

[v1] 2016-06-07 02:51:30 (removed)
[v2] 2016-06-07 06:28:26
[v3] 2016-06-07 10:22:20

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