| 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(Kenkyū-buntansha) |
鈴木 増雄 東京理科大学, 理学部, 教授 (80013473)
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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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| Project Status |
Completed (Fiscal Year 2009)
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| Budget Amount *help |
¥10,600,000 (Direct Cost: ¥10,600,000)
Fiscal Year 2009: ¥2,700,000 (Direct Cost: ¥2,700,000)
Fiscal Year 2008: ¥3,000,000 (Direct Cost: ¥3,000,000)
Fiscal Year 2007: ¥3,000,000 (Direct Cost: ¥3,000,000)
Fiscal Year 2006: ¥1,900,000 (Direct Cost: ¥1,900,000)
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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 / 量子アニーリング / ジャルジンスキー等式 / 統計力学 / 最適化 / シミュレーテッド・アニーリング / 収束性 |
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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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