2015 Fiscal Year Final Research Report
Mathematical studies on quantum entropy and its applications to information science
| Project/Area Number |
24540146
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| Research Category |
Grant-in-Aid for Scientific Research (C)
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| Allocation Type | Multi-year Fund |
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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 | Nihon University |
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Principal Investigator |
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| Project Period (FY) |
2012-04-01 – 2016-03-31
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| Keywords | 量子エントロピー / ダイヴァージェンス / 作用素不等式 |
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| Outline of Final Research Achievements |
I have published 9 peer-reviewed papers and gave my presentations through this research plroject. The main results are as follows.
I obtained the upper and lower bounds for the generalized entropy and gave the estimation of the upper and lower bounds for Tsallis relative operator entropy. In addition, I derived the Schrodinger type uncertainty relation by metric adjusted skew correlation. Moreover, I studied the mathematical properties for
hypoentropy and hypodivergence. I also gave the further results for the generalized hypoentropy and hypodivergence.
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| Free Research Field |
情報理論
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