2007 Fiscal Year Final Research Report Summary
Construction and Implementation of the Geometric Control Theory of Quantum Computing
| Project/Area Number |
17540372
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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 |
原子・分子・量子エレクトロニクス・プラズマ
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| Research Institution | Kyoto University (2006-2007)
Osaka City University (2005) |
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Principal Investigator |
TANIMURA Shogo Kyoto University, Graduate School of Infomiatics, Associate Professor (90273482)
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| Co-Investigator(Kenkyū-buntansha) |
SUGITA Ayumu Osaka City University, Graduate School of Engineering, Lecturer (90398412)
NAKAHARA Mikio Kinki University, Department of Physics, Professor (90189019)
KONDO Yasushi Kinki University, Department of Physics, Associate Professor (40330229)
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| Project Period (FY) |
2005 – 2007
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| Keywords | quantum computation / NMR / decoherence / entanglement / non-equilibrium / uncertainty relation / micro-macro duality |
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| Research Abstract |
The main purposes of this project are to construct a geometric theory for controlling quantum computers and to test the theory by NMR experiments. We formulated a theory for reducing execution times of quantum computing based on the Lie group theory. We successfully peck wed an NMR experiment and confirmed the applicability of our theory. On the other hand, decoherence has been known as an obstacle against accurate control of a quantum system in a noisy environment. For understanding the mechanism of decoherence we proposed the method of artificial environment, in which we can generate noises acting on the quantum system. Using the method of artificial environment we measured the decoherence rate of a one-qubit system and tested the bang-bang control, which suppressed the decoherence. To get a deeper understanding of decoherence we also studied entanglement in macroscopic systems and dynamics of non-equilibrium systems. In particular, we showed that the relaxation process becomes faster in a quantum system which has a metastable intermediate state. We studied also the uncertainty relation, the micro-macro duality, and their information theoretical implications. These results were published in journals and presented at workshops.
We organized summer school to encourage young scientists in this field. We also wrote textbooks on mathematical physics and on quantum information science. We organized international workshops and published proceedings.
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[Journal Article] Generation and suppression of decoherence in artificial environment for qubit system2007
Author(s)
Y., Kondo, M., Nakahara, S., Tanimura, S., Kitajima, C., Uchiyama, F., Shibata
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Journal Title
Journal of the Physical Society of Japan 76, 074002
Pages: 1-11
Description
「研究成果報告書概要(欧文)」より
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[Journal Article] Implementation of molecular spin quantum computing by pulsed ENDOR techniques : Direct observation of quantum entanglement and spinor2007
Author(s)
K., Sato, R., Rahimi, N., Mori, S., Nishida, K., Toyota, D., Shiomi, Y., Morita, A., Ueda, S., Suzuki, K., Furukawa, T., Nakamura, M., Kitagawa, K., Nakasuji, M., Nakahara, H., Hara, P., Carl, P., Hofer, T., Takui
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Journal Title
Physica E 40
Pages: 363-366
Description
「研究成果報告書概要(欧文)」より
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[Presentation] Warp-drive quantum computation2005
Author(s)
M. Nakahara, J. J. Vartiainen, Y. Kondo, S. Tanimura, K. Hata,
Organizer
ERATO conference on Quantum Information Science
Place of Presentation
東京
Year and Date
20050800
Description
「研究成果報告書概要(和文)」より
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[Presentation] Warp-drive quantum computation2005
Author(s)
M., Nakahara, J.J., Vartiainen, Y., Kondo, S., Tanimura, K., Hata
Organizer
ERATO conference on Quantum Information Science
Place of Presentation
Tokyo
Year and Date
20050800
Description
「研究成果報告書概要(欧文)」より
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