| Budget Amount *help |
¥4,810,000 (Direct Cost: ¥3,700,000、Indirect Cost: ¥1,110,000)
Fiscal Year 2014: ¥1,560,000 (Direct Cost: ¥1,200,000、Indirect Cost: ¥360,000)
Fiscal Year 2013: ¥1,560,000 (Direct Cost: ¥1,200,000、Indirect Cost: ¥360,000)
Fiscal Year 2012: ¥1,690,000 (Direct Cost: ¥1,300,000、Indirect Cost: ¥390,000)
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| Outline of Final Research Achievements |
We obtained stationary measures, time-averaged limit measures, and weak limit measures for quantum walks on various graphs. For examples, we got a formula of characteristic polynomials of the unitary matrix determines the quantum walk on graphs by the weighted zeta function. We obtained stationary measures of two-state quantum walk on the line, in particular, a non-uniform stationary measure for the Hadamard walk. Moreover we got stationary measures, time-averaged limit measures, and weak limit measures for a class of quantum walks with one defect and clarified the localization. We analyzed localization of quantum walks on glued trees and spidernets.
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