2011 Fiscal Year Final Research Report
Study of universality in quantum entanglement and its application to quantum tomography and quantum control
| Project/Area Number |
21540413
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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 |
Atomic/Molecular/Quantum electronics
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| Research Institution | Kanagawa University |
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Principal Investigator |
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| Co-Investigator(Kenkyū-buntansha) |
TODA Mikito 奈良女子大学, 理学部, 准教授 (70197896)
ADACHI Satoshi 東京工業大学, 理工学研究科, 助教 (90211698)
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| Project Period (FY) |
2009 – 2011
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| Keywords | 量子情報量子 / コンピュータ / ランダム行列理論 / 多変数超幾何関数 |
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| Research Abstract |
We studied the universality of the statistics in the quantum entanglement generated by the dynamics of a bipartite system. The main points in our studies are two as follows. (1) We adopted the random matrices whose elements are all statistically random to model entangled quantum states. To this end, we developed theory of the random matrices in our original way. (2) We performed a large scale simulation of the quantum dynamics and obtained accurate one-body distribution of the Schmidt eigenvalues of entangled states generated by the quantum dynamics. We compared the one-body distribution with that derived in (1). This comparison revealed that the quantum chaotic dynamics shows the statistics of random matrices.
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