Boolean Approach to Dichotomic Quantum Measurement Theories

被引：3

作者：

Nagata, K. ^{[1
]}

Nakamura, T. ^{[2
]}

Batle, J. ^{[3
]}

Abdalla, S. ^{[4
]}

Farouk, A. ^{[5
,6
]}

机构：

[1] Korea Adv Inst Sci & Technol, Dept Phys, Daejeon 34141, South Korea

[2] Keio Univ, Dept Informat & Comp Sci, Yokohama, Kanagawa 2238522, Japan

[3] Univ Illes Balears, Dept Fis, Palma De Mallorca 07122, Balearic Island, Spain

[4] King Abdulaziz Univ, Fac Sci, Dept Phys, Jeddah 21589, Saudi Arabia

[5] Al Zahra Coll Women, Dept Informat Technol, Muscat, Oman

[6] Sci Res Grp, Tanta, Egypt

来源：

JOURNAL OF THE KOREAN PHYSICAL SOCIETY | 2017年 / 70卷 / 03期

关键词：

Quantum measurement theory; Quantum non locality; Formalism; REALISTIC LEGGETT MODELS; BEFORE-BEFORE EXPERIMENT; HIDDEN-VARIABLES; ALGORITHM; COMPUTER; IMPLEMENTATION; MECHANICS;

D O I：

10.3938/jkps.70.229

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

Recently, a new measurement theory based on truth values was proposed by Nagata and Nakamura [Int. J. Theor. Phys. 55, 3616 (2016)], that is, a theory where the results of measurements are either 0 or 1. The standard measurement theory accepts a hidden variable model for a single Pauli observable. Hence, we can introduce a classical probability space for the measurement theory in this particular case. Additionally, we discuss in the present contribution the fact that projective measurement theories (the results of which are either + 1 or -1) imply the Bell, Kochen, and Specker (BKS) paradox for a single Pauli observable. To justify our assertion, we present the BKS theorem in almost all the two-dimensional states by using a projective measurement theory. As an example, we present the BKS theorem in two-dimensions with white noise. Our discussion provides new insight into the quantum measurement problem by using this measurement theory based on the truth values.

引用

页码：229 / 235

页数：7

共 41 条

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