Foundations of quantum theory from a universal viewpoint
| Project/Area Number |
22740078
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| Research Category |
Grant-in-Aid for Young Scientists (B)
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| Allocation Type | Single-year Grants |
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| Research Field |
General mathematics (including Probability theory/Statistical mathematics)
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| Research Institution | Kyoto University (2012-2014)
National Institute of Advanced Industrial Science and Technology (2010-2011) |
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Principal Investigator |
MIYADERA Takayuki 京都大学, 工学(系)研究科(研究院), 准教授 (50339123)
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| Project Period (FY) |
2010-04-01 – 2015-03-31
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| Project Status |
Completed (Fiscal Year 2014)
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| Budget Amount *help |
¥4,436,172 (Direct Cost: ¥3,412,440、Indirect Cost: ¥1,023,732)
Fiscal Year 2014: ¥780,000 (Direct Cost: ¥600,000、Indirect Cost: ¥180,000)
Fiscal Year 2013: ¥780,000 (Direct Cost: ¥600,000、Indirect Cost: ¥180,000)
Fiscal Year 2012: ¥910,000 (Direct Cost: ¥700,000、Indirect Cost: ¥210,000)
Fiscal Year 2011: ¥926,172 (Direct Cost: ¥712,440、Indirect Cost: ¥213,732)
Fiscal Year 2010: ¥1,040,000 (Direct Cost: ¥800,000、Indirect Cost: ¥240,000)
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| Keywords | 量子論基礎 / 量子測定 / 量子情報 / 一般確率論 / 逐次測定 / 量子測定理論 / 順序構造 / 不確定性関係 / アルゴリズム的情報理論 |
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| Outline of Final Research Achievements |
We studied the foundations of quantum theory from a universal point of view. Our findings include the followings: (1) some properties of quantum Kolmogorov complexity were obtained and its applicability to the quantum information was shown (2) the notion of quantum incompatibility was establihed (3) an order-theoretic structure behind the quantum incompatibility was revealed (4) state-discrimination problem in the convex approach was studied (5) the security of semiclassical quantum cryptography was examined (6) a limitation on the physical interaction in measurement processes was found.
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Report
(5 results)
Research Products
(17 results)
