2009 Fiscal Year Final Research Report
Creating an interdisciplinary field of classical and quantum information sciences and statistical mechanics of frustrated system
| Project/Area Number |
18079005
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| Research Category |
Grant-in-Aid for Scientific Research on Priority Areas
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| Allocation Type | Single-year Grants |
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| Review Section |
Science and Engineering
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| Research Institution | Tokyo Institute of Technology |
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Principal Investigator |
NISHIMORI Hidetoshi Tokyo Institute of Technology, 大学院・理工学研究科, 教授 (70172715)
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| Co-Investigator(Renkei-kenkyūsha) |
SUZUKI Masuo 東京理科大学, 理学部, 教授 (80013473)
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| Project Period (FY) |
2006 – 2009
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| Keywords | スピングラス / 誤り訂正符号 / 多重臨界点 / 誤り訂正限界 / 双対性 |
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| Research Abstract |
I have clarified the relationship between the problem of spin glasses in finite dimensions, one of the central problems in classical statistical mechanics, and the error threshold of quantum error correction, an important problem in quantum information. In particular a scheme has been developed to theoretically predict the precise location of the multicritical point in the phase diagram of two-dimensional spin glass. The results have been confirmed to be in excellent agreement with numerical estimations. This value is known to be identical to the threshold of error correction of torus code and therefore carries important significance also from the viewpoint of quantum error correction.
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