| Project/Area Number |
21540146
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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 |
General mathematics (including Probability theory/Statistical mathematics)
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| Research Institution | Tokyo University of Science |
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Principal Investigator |
OHYA Masanori 東京理科大学, 理工学部, 教授 (90112896)
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| Co-Investigator(Kenkyū-buntansha) |
IRIYAMA Satoshi 東京理科大学, 理工学部情報科学科, 講師 (10385528)
HARA Toshihide 東京理科大学, 理工学部情報科学科, 助教 (30579769)
MATSUOKA Takashi 諏訪東京理科大学, 経営情報学部, 教授 (90328568)
浅野 真誠 東京理科大学, 理工学部, 研究員 (80408707)
佐藤 圭子 東京理科大学, 理工学部・情報科学科, 講師 (30366439)
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| Project Period (FY) |
2009-04-01 – 2014-03-31
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| Project Status |
Completed (Fiscal Year 2013)
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| Budget Amount *help |
¥4,290,000 (Direct Cost: ¥3,300,000、Indirect Cost: ¥990,000)
Fiscal Year 2013: ¥780,000 (Direct Cost: ¥600,000、Indirect Cost: ¥180,000)
Fiscal Year 2012: ¥650,000 (Direct Cost: ¥500,000、Indirect Cost: ¥150,000)
Fiscal Year 2011: ¥1,040,000 (Direct Cost: ¥800,000、Indirect Cost: ¥240,000)
Fiscal Year 2010: ¥650,000 (Direct Cost: ¥500,000、Indirect Cost: ¥150,000)
Fiscal Year 2009: ¥1,170,000 (Direct Cost: ¥900,000、Indirect Cost: ¥270,000)
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| Keywords | 数学基礎論 / 量子情報 / 量子エントロピー / 量子アルゴリズム / 量子確率論 / 量子確立論 |
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| Research Abstract |
The purpose of this research is to invest basic problems of quantum (non-commutative) probability theory through specific problems. Various theories concerning the quantum information are based on quantum probability theory. We clarify some important points, and attempt to solve them. Therefore, we carried out research in the following order:(1) clarify and organize the problems on quantum information theory, in particular, quantum entropy, quantum teleportation and quantum algorithm. (2) investigate how to treat with the problems given in (1) under axioms of quantum probability theory. (3) Under reviewing (2), we constructed a new mathematics of quantum probability theory.
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