| Project/Area Number |
22540410
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| Research Category |
Grant-in-Aid for Scientific Research (C)
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| Allocation Type | Single-year Grants |
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| Section | 一般 |
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| Research Field |
Atomic/Molecular/Quantum electronics
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| Research Institution | Nagoya University (2011-2012)
Kyoto University (2010) |
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Principal Investigator |
TANIMURA Shogo 名古屋大学, 情報科学研究科, 教授 (90273482)
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| Co-Investigator(Renkei-kenkyūsha) |
TSUTSUI Izumi 高エネルギー加速器研究機構, 素粒子原子核研究所, 准教授 (10262106)
SUGITA Ayumu 大阪市立大学, 大学院・工学研究科, 准教授 (90398412)
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| Project Period (FY) |
2010 – 2012
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| Project Status |
Completed (Fiscal Year 2012)
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| Budget Amount *help |
¥2,730,000 (Direct Cost: ¥2,100,000、Indirect Cost: ¥630,000)
Fiscal Year 2012: ¥910,000 (Direct Cost: ¥700,000、Indirect Cost: ¥210,000)
Fiscal Year 2011: ¥910,000 (Direct Cost: ¥700,000、Indirect Cost: ¥210,000)
Fiscal Year 2010: ¥910,000 (Direct Cost: ¥700,000、Indirect Cost: ¥210,000)
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| Keywords | 量子情報 / 量子測定理論 / ベルの不等式 / 超選択則 / 電子線 / 軌道角運動量 / らせん波 / 量子消去 / 量子相関 / 測定理論 / 孤立保存則 / 共変的指針 / 量子論理 / 代数的量子論 |
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| Research Abstract |
The Bell inequality holds in the framework of the hidden variable theory and does not hold in quantum mechanics. Although failure of the Bell inequality has been known as a fact, a physical cause or a reason of the failure have not been understood clearly. In this study, I found that non-commutativity of local observables causes the violation of the Bell inequality. Taking this mechanism into account, I provided a method for systematic construction of generalized Bell-like inequalities and I formulated a new inequality that enables a fair test of the hidden variable theory and quantum theory.
Moreover, via measurement theory I successfully derived superselection rules, which have not been justified nor derived from physical reasons for a long time. I found a necessary condition for a physical quantity to be measurable.
Moreover, I cooperated on an experiment using spiral electron beam and successfully proved the uncertainty relation of angular momentum and the quantum eraser effect.
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