2012 Fiscal Year Final Research Report
Reversibility of Channels and Information Geometry in Quantum Mechanical Systems
| Project/Area Number |
21740066
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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 |
General mathematics (including Probability theory/Statistical mathematics)
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| Research Institution | The University of Electro-Communications |
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Principal Investigator |
OGAWA Tomohiro 電気通信大学, 大学院・情報システム学研究科, 准教授 (00323527)
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| Project Period (FY) |
2009 – 2012
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| Keywords | 量子情報理論 / 情報スペクトル / 通信路分解能 / 通信路符号化 / 盗聴通信路符号化 / 相互情報量 / 十分統計量 |
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| Research Abstract |
Concerning channel resolvability for quantum channels, a general formula based on the information spectrum method was proved in a general setting without any assumption such as stationary memoryless channels. The formula can be applied to show general formulas for quantum wiretap channel coding and quantum channel coding for sending quantum states. Also, showing universal channel resolvability coding theorem, which can be available for unknown channels, for a class including stationary memoryless channels, an universal wiretap channel coding theorem for classical and classical-quantum channels was given.
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