| Budget Amount *help |
¥24,050,000 (Direct Cost: ¥18,500,000、Indirect Cost: ¥5,550,000)
Fiscal Year 2020: ¥4,680,000 (Direct Cost: ¥3,600,000、Indirect Cost: ¥1,080,000)
Fiscal Year 2019: ¥5,850,000 (Direct Cost: ¥4,500,000、Indirect Cost: ¥1,350,000)
Fiscal Year 2018: ¥8,060,000 (Direct Cost: ¥6,200,000、Indirect Cost: ¥1,860,000)
Fiscal Year 2017: ¥5,460,000 (Direct Cost: ¥4,200,000、Indirect Cost: ¥1,260,000)
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| Outline of Final Research Achievements |
With Bordenave, we developed the theory of operator valued non-backtracking and showed strong asymptotically freeness for random permutations, which led to the solution of the Alon conjecture, an important unsolved problem for 20 years. Together with Bordenave again, we proved strong asymptotic freeness for tensors of unitary random matrices. With Guionnet and Parraud, we gave a new quantitative proof of the results of the original paper by Haagerup and Thorbjornsen. Based on this as an application to quantum information theory, in collaboration with Parraud, we showed the bound of dimension in which the MOE additivity violation occur.
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