2016 Fiscal Year Final Research Report
Study of Conditional SIC-POVM
| Project/Area Number |
25800061
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| Research Category |
Grant-in-Aid for Young Scientists (B)
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| Allocation Type | Multi-year Fund |
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| Research Field |
Basic analysis
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| Research Institution | Shinshu University |
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Principal Investigator |
OHNO Hiromichi 信州大学, 学術研究院工学系, 准教授 (90554585)
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| Project Period (FY) |
2013-04-01 – 2017-03-31
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| Keywords | 量子情報理論 / 量子トモグラフィー |
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| Outline of Final Research Achievements |
The state of a quantum system is a density matrix with several parameters. The concern is how to recover the parameters. Several possibilities exist for the optimal recovery method, and we consider some special cases. We assume that a few parameters are known and that the others are to be recovered. The optimal positive operator valued measure (POVM) for recovering unknown parameters with an additional condition is called a conditional symmetric informationally complete POVM (SIC-POVM). We study the existence or nonexistence of conditional SIC-POVMs. We provide a necessary condition for existence and some examples.
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| Free Research Field |
量子情報理論
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