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 |
Section | 一般 |
Research Field |
General mathematics (including Probability theory/Statistical mathematics)
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Research Institution | Tokyo University of Science |
Principal Investigator |
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Project Period (FY) |
2011-04-28 – 2015-03-31
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Project Status |
Completed (Fiscal Year 2014)
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Budget Amount *help |
¥4,810,000 (Direct Cost: ¥3,700,000、Indirect Cost: ¥1,110,000)
Fiscal Year 2014: ¥1,170,000 (Direct Cost: ¥900,000、Indirect Cost: ¥270,000)
Fiscal Year 2013: ¥1,170,000 (Direct Cost: ¥900,000、Indirect Cost: ¥270,000)
Fiscal Year 2012: ¥1,170,000 (Direct Cost: ¥900,000、Indirect Cost: ¥270,000)
Fiscal Year 2011: ¥1,300,000 (Direct Cost: ¥1,000,000、Indirect Cost: ¥300,000)
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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 / エンタングルメント / 量子チャネル符号化 / 量子通信理論 / 量子符号化定理 / 量子エンタングルメント / 量子通信路容量 / 力学的エントロピー |
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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Report
(5 results)
Research Products
(50 results)
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[Presentation] On Entropies of Compound Systems2014
Author(s)
Noboru Watanabe
Organizer
The QBIC Workshop 2014, Tokyo University of Science
Place of Presentation
Tokyo University of Science, Noda, Japan
Year and Date
2014-10-23 – 2014-10-25
Related Report
Invited
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[Presentation] NOTE ON ENTROPIES OF QUANTUM COMPOUND SYSTEMS2014
Author(s)
Noboru Watanabe
Organizer
Satellite Conference of the International Congress of Mathematicians 2014,35th International Conference on Quantum Probability and Related Topics
Place of Presentation
Chungbuk National University, Cheongju, Korea
Year and Date
2014-08-22 – 2014-08-26
Related Report
Invited
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[Presentation] ON ENTROPY OF QUANTUM COMPOUND SYSTEMS2014
Author(s)
Noboru Watanabe
Organizer
The International Conference on Quantum Theory: from Problems to Advances - QTPA
Place of Presentation
Linnaeus University, Vaxjo, Sweden
Year and Date
2014-06-09 – 2014-06-12
Related Report
Invited
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