| 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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| 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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