2011 Fiscal Year Final Research Report
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 |
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| Project Period (FY) |
2008 – 2011
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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 |
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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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