A study of inequalities in operator theory and quantum information theory
| Project/Area Number |
20540176
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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 |
Basic analysis
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| Research Institution | Yamaguchi University |
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Principal Investigator |
KURIYAMA Ken Yamaguchi University, 教育学部, 特別任用教授 (10116717)
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| Co-Investigator(Kenkyū-buntansha) |
YANAGI Kenjiro 山口大学, 大学院・理工学研究科, 教授 (90108267)
MATSUNO Yoshimasa 山口大学, 大学院・理工学研究科, 教授 (30190490)
KUTAMI Mamoru 山口大学, 大学院・理工学研究科, 教授 (80034734)
KITAMOTO Takuya 山口大学, 教育学部, 准教授 (30241780)
KASAI Shinichi 山口大学, 教育学部, 准教授 (40224373)
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| Project Period (FY) |
2008 – 2010
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| Project Status |
Completed (Fiscal Year 2010)
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| Budget Amount *help |
¥4,030,000 (Direct Cost: ¥3,100,000、Indirect Cost: ¥930,000)
Fiscal Year 2010: ¥1,170,000 (Direct Cost: ¥900,000、Indirect Cost: ¥270,000)
Fiscal Year 2009: ¥1,300,000 (Direct Cost: ¥1,000,000、Indirect Cost: ¥300,000)
Fiscal Year 2008: ¥1,560,000 (Direct Cost: ¥1,200,000、Indirect Cost: ¥360,000)
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| Keywords | 作用素 / 量子情報 / 不等式 / 不確定性関係 / ヒルベルト空間 / skew information / 数理計画 / エントロピー / トレイス不等式 / H無限大ノルム / 非可換性 |
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| Research Abstract |
Mathematical and information theoretical studies of operators in Hilbert spaces are achieved related to the foundation of quantum mechanics. Especially, trace inequalities of operators which mean uncertainty relations are proved.
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Report
(4 results)
Research Products
(44 results)
