| Budget Amount *help |
¥3,900,000 (Direct Cost: ¥3,000,000、Indirect Cost: ¥900,000)
Fiscal Year 2014: ¥910,000 (Direct Cost: ¥700,000、Indirect Cost: ¥210,000)
Fiscal Year 2013: ¥910,000 (Direct Cost: ¥700,000、Indirect Cost: ¥210,000)
Fiscal Year 2012: ¥910,000 (Direct Cost: ¥700,000、Indirect Cost: ¥210,000)
Fiscal Year 2011: ¥1,170,000 (Direct Cost: ¥900,000、Indirect Cost: ¥270,000)
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| Outline of Final Research Achievements |
One of the objectives that constitute this project is to examine the argument of Einstein, Podolsky and Rosen (EPR) because it is important to clarify causality in quantum mechanics. Noncommutativity of operators plays an important role in the EPR argument. To clarify it from an operational point of view, we showed that there is no universal imperfect cloning operation if and only if there are operators that do not commute. With this result, we can interpret noncommutativity of operators from an operational point of view.
An important step to understanding the EPR argument is the discovery of Bell's inequality. Bell assumed a complete description in terms of local hidden variables and derived Bell's inequality under this assumption. In this project, we showed that an EPR state for incommensurable pairs is Bell correlated. From a point of view of this result, it seems to be difficult to maintain EPR conclusion.
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