Research on Godel's incompleteness theorems for quantum measurements based on a generalization of Chaitin's halting probability Ω
| Project/Area Number |
20540134
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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 |
General mathematics (including Probability theory/Statistical mathematics)
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| Research Institution | Chuo University |
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Principal Investigator |
TADAKI Kohtaro Chuo University, 研究開発機構, 機構准教授 (70407881)
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| Project Period (FY) |
2008 – 2010
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| Project Status |
Completed (Fiscal Year 2010)
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| Budget Amount *help |
¥3,640,000 (Direct Cost: ¥2,800,000、Indirect Cost: ¥840,000)
Fiscal Year 2010: ¥1,040,000 (Direct Cost: ¥800,000、Indirect Cost: ¥240,000)
Fiscal Year 2009: ¥1,040,000 (Direct Cost: ¥800,000、Indirect Cost: ¥240,000)
Fiscal Year 2008: ¥1,560,000 (Direct Cost: ¥1,200,000、Indirect Cost: ¥360,000)
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| Keywords | ChaitinのΩ / ランダムネス / アルゴリズム的情報理論 / 統計力学 / 情報理論 / 不完全性定理 / 量子論基礎 / 不動点定理 |
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| Research Abstract |
We try to derive Godel's incompleteness theorems for quantum measurements by generalizing algorithmic information theory and then applying it to the theory of quantum measurements. This research project is part of an effort to accomplish the ultimate goal, and is aimed to understand completely a new research object, called the statistical mechanical interpretation of algorithmic information theory, which was introduced by us in 2007.
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Report
(4 results)
Research Products
(91 results)
