A Method for Systematic Construction of Bell-Like Inequalities and a Proposal of a New Type of Test(General and Mathematical Physics)

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概要

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• The Bell-Clauser-Horne-Shimony-Holt (BCHSH) inequality, which is proven in the context of the local hidden-variable theory, has been used as a test to reveal the failure of the hidden-variable theory and to prove the validity of the quantum theory. We note that the violation of the BCHSH inequality is caused by the noncommutativity of quantum observables and find a systematic method of constructing generalizations of the BCHSH inequality. This method is used to invent a new quantity, which is defined in a two-qubit system and satisfies a new type of inequality. This provides a fair test of the quantum theory. Remaining problems are also discussed.

• 2010-08-25

著者

• ISOBE Tomohiro

  Department of Applied Mathematics and Physics, Graduate School of Informatics, Kyoto University

• TANIMURA Shogo

  Department of Applied Mathematics and Physics, Graduate School of Informatics, Kyoto University

• Isobe Tomohiro

  Department Of Applied Mathematics And Physics Graduate School Of Informatics Kyoto University

• Tanimura Shogo

  Department Of Applied Mathematics And Physics Graduate School Of Informatics Kyoto University

関連論文

• A Method for Systematic Construction of Bell-Like Inequalities and a Proposal of a New Type of Test(General and Mathematical Physics)
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