| Budget Amount *help |
¥4,420,000 (Direct Cost: ¥3,400,000、Indirect Cost: ¥1,020,000)
Fiscal Year 2014: ¥780,000 (Direct Cost: ¥600,000、Indirect Cost: ¥180,000)
Fiscal Year 2013: ¥780,000 (Direct Cost: ¥600,000、Indirect Cost: ¥180,000)
Fiscal Year 2012: ¥650,000 (Direct Cost: ¥500,000、Indirect Cost: ¥150,000)
Fiscal Year 2011: ¥780,000 (Direct Cost: ¥600,000、Indirect Cost: ¥180,000)
Fiscal Year 2010: ¥1,430,000 (Direct Cost: ¥1,100,000、Indirect Cost: ¥330,000)
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| Outline of Final Research Achievements |
Quotient codes, which generalize classical error-correcting codes and are applicable to quantum error correction, were studied. The present study was mainly aimed at embodiment of concatenated quotient codes, which are proposed by this researcher, refined performance analysis of them, and exploration into related issues. For instance, while this researcher had proved the asymptotic optimality of the proposed concatenated codes used on wiretap channels (a model due to Wyner) around the time of the application of this research, he obtained related results during the research period of the Kakenhi. In the latter half of the period, he proposed a construction method for arbitrary quantum information processing on single-qubit systems (specifically, arbitrary SU(2) elements). This is also a concrete constructive (algorithmic) method regarding information processing , and its optimality was also proved rigorously by himself.
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