2014 Fiscal Year Final Research Report
The characterization of the channel including the entanglement and establishing the foundation of the quantum channel coding theorem
| Project/Area Number |
23540162
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| Research Category |
Grant-in-Aid for Scientific Research (C)
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| Allocation Type | Multi-year Fund |
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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 | Tokyo University of Science |
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Principal Investigator |
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| Project Period (FY) |
2011-04-28 – 2015-03-31
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| Keywords | 量子情報理論 / 量子エントロピー / 量子チャネル / エンタングルメント / 量子チャネル符号化 |
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| Outline of Final Research Achievements |
In this study, I carried out the following problem studies for the purpose of mathematic basic construction to be necessary for proof of the quantum channel coding theorem based on the study of entropy theory and the quantum channel theory of the quantum systems.
I characterize the quantum channel including the quantum entanglement such as quantum teleportations, (1) I investigated a property of the quantum mutual entropy for the quantum interference channel.(2) Based on formulation of the quantum mean mutual entropy, I calculated the quantum mean mutual entropy of the various kinds of encoded quantum states. Furthermore, I extended the theorem of Ohya- Tsukada -Umegaki in general quantum systems using transition expectation and conditional expectation and I carried out the fundamental researches to be necessary for proof of the quantum channel coding theorem.
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| Free Research Field |
情報数理，函数解析学，実関数論
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