Fundamental study on entropy and information in quantum information science
| Project/Area Number |
20740067
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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 | Nihon University |
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Principal Investigator |
FURUICHI Shigeru (FURUICHI Sigeru) 日本大学, 文理学部, 准教授 (50299327)
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| Project Period (FY) |
2008 – 2011
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| Project Status |
Completed (Fiscal Year 2011)
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| Budget Amount *help |
¥4,160,000 (Direct Cost: ¥3,200,000、Indirect Cost: ¥960,000)
Fiscal Year 2011: ¥910,000 (Direct Cost: ¥700,000、Indirect Cost: ¥210,000)
Fiscal Year 2010: ¥1,040,000 (Direct Cost: ¥800,000、Indirect Cost: ¥240,000)
Fiscal Year 2009: ¥910,000 (Direct Cost: ¥700,000、Indirect Cost: ¥210,000)
Fiscal Year 2008: ¥1,300,000 (Direct Cost: ¥1,000,000、Indirect Cost: ¥300,000)
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| Keywords | 量子情報理論 / 量子エントロピー / 一般化エントロピー / Skew information / トレース不等式 / 情報幾何 / 不確定性関係 / skew information / 公理的特徴付 / 行列解析 / 情報理論 / エントロピー / 作用素論 / 情報科学 / Fisher情報量 / Wigner-Yasase skew information / Wigner-Yasase-Dyson skew information / 相対エントロピー / 一意性定理 / 情報幾何学 / Tsallisエントロピー / 関数解析 / 統計力学 |
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| Research Abstract |
I studied the mathematical and fundamental studies for entropies and informations in quantum information theory, and then obtained several important results. For example, I established the Schrodinger type uncertainty relation by using Wigner-Yanase skew information and a lower bound for the Tsallis relative entropy by applying the matrix trace inequality.
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Report
(6 results)
Research Products
(63 results)
