| Budget Amount *help |
¥4,680,000 (Direct Cost: ¥3,600,000、Indirect Cost: ¥1,080,000)
Fiscal Year 2018: ¥1,170,000 (Direct Cost: ¥900,000、Indirect Cost: ¥270,000)
Fiscal Year 2017: ¥1,170,000 (Direct Cost: ¥900,000、Indirect Cost: ¥270,000)
Fiscal Year 2016: ¥1,170,000 (Direct Cost: ¥900,000、Indirect Cost: ¥270,000)
Fiscal Year 2015: ¥1,170,000 (Direct Cost: ¥900,000、Indirect Cost: ¥270,000)
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| Outline of Final Research Achievements |
We studied quantum incompatibility with focus on its structural aspect. We showed that order relations in observable space and quantum channel space are naturally introduced and the incompatibility is represented in a simple way by using these relations. The argument was extended to the incompatibility between quantum channels. In addition, we generalized the notion so that compatibility between subsets can be treated. For a given subset in the observable space, we have a subset in the channel space such that each element in this channel space is compatible with every element in the observable subset. This treatment naturally introduced the Galois connection, whose closure is shown to have an operational interpretation. We also studied the incompatibility witness whose existence is derived from the convex structure of the set of all compatible pairs. As applications of the quantum incompatibility, we investigated the quantum reference frame and obtained some quantitative bounds.
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