2011 Fiscal Year Final Research Report
Precise determination of the multicritical point by renormalization group and duality analysis
| Project/Area Number |
20740218
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| Research Category |
Grant-in-Aid for Young Scientists (B)
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| Allocation Type | Single-year Grants |
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| Research Field |
Mathematical physics/Fundamental condensed matter physics
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| Research Institution | Kyoto University (2010-2011)
Tokyo Institute of Technology (2008-2009) |
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Principal Investigator |
OHZEKI Masayuki 京都大学, 大学院・情報学研究科, 助教 (80447549)
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| Project Period (FY) |
2008 – 2011
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| Keywords | 繰りこみ群 / スピングラス / 双対変換 / 厳密解 / 量子情報 |
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| Research Abstract |
We develop the classical methods in statistical mechanics, duality and renormalization group analysis such that they are applicable to both of the classical and quantum information theory through the special critical point in spin glasses. The study is closely associated with reconsideration of information theory through physics. We perform the following analytical studies ; 1. Establishment to identify the location of the special critical point 2. Consideration on the relationship with the error threshold in quantum information 3. Analysis by aid of the symmetry of the partition function We obtain many outstanding results until the final term of the period supported by the foundation.
1. Establishment to identify the location of the special critical point
2. Consideration on the relationship with the error threshold in quantum information
3. Analysis by aid of the symmetry of the partition function
We obtain many outstanding results until the final term of the period supported by the foundation.
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[Remarks] 受賞(1)大関真之日本物理学会若手奨励賞(領域11)、日本物理学会
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[Remarks] (2)大関真之JPSJ Papers of Editor's choice "Nonequilibrium Relations for Spin Glasses with Gauge Symmetry"、日本物理学会
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[Remarks] (3)大関真之、平成21年度手島精一記念研究賞博文論文賞、東京工業大学
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[Remarks] 新聞報道大関真之科学新聞2010年9月17日号.「スピングラスとジャルジンスキー等式-京大・東工大グループ厳密な関係式解明」
