| Presentation | 2020-12-02 Generalization of quantum monotonic metric with duality via a purification Kouta Sakurai, Tomohiro Ogawa, |
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| PDF Download Page |  PDF download Page Link |
| Abstract(in Japanese) | (See Japanese page) |
| Abstract(in English) | Given a quantum statistical model, consider estimating the parameter of specific quantum state From that model. At this time, due to the Cram?r?Rao inequality, the Limitation of estimation accuracy is given by the SLD Fisher information in the quantum statistical model. Regarding SLD Fisher information, Matsumoto showed that some kind of duality is created with the RLD Fisher information. Here, RLD Fisher Information is an amount which gives the limit of generation efficiency when generating a quantum statistical model from random numbers. The purpose of this study is to discover a metric pair that has duality like SLD and RLD from the metric parameter family which can be obtained by the second derivative of sandwiched Rv{e}nyi divergencecite. In this paper, we derive the logarithmic derivative corresponding to the specific metric in the above metric parameter family and propose one of the methods for constructing the purification model. |
| Keyword(in Japanese) | (See Japanese page) |
| Keyword(in English) | monotone metric / purification / SLD Fisher information / sandwiched Rv{e}nyi divergence |
| Paper # | IT2020-40 |
| Date of Issue | 2020-11-24 (IT) |
| Conference Information | |
| Committee | IT |
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| Conference Date | 2020/12/1(3days) |
| Place (in Japanese) | (See Japanese page) |
| Place (in English) | Online |
| Topics (in Japanese) | (See Japanese page) |
| Topics (in English) | Lectures for Young Researchers, General |
| Chair | Tadashi Wadayama(Nagoya Inst. of Tech.) |
| Vice Chair | Tetsuya Kojima(Tokyo Kosen) |
| Secretary | Tetsuya Kojima(Yamaguchi Univ.) |
| Assistant | Takahiro Ohta(Senshu Univ.) |
| Paper Information | |
| Registration To | Technical Committee on Information Theory |
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| Language | JPN |
| Title (in Japanese) | (See Japanese page) |
| Sub Title (in Japanese) | (See Japanese page) |
| Title (in English) | Generalization of quantum monotonic metric with duality via a purification |
| Sub Title (in English) | |
| Keyword(1) | monotone metric |
| Keyword(2) | purification |
| Keyword(3) | SLD Fisher information |
| Keyword(4) | sandwiched Rv{e}nyi divergence |
| 1st Author's Name | Kouta Sakurai |
| 1st Author's Affiliation | University of Electro-Communications(UEC) |
| 2nd Author's Name | Tomohiro Ogawa |
| 2nd Author's Affiliation | University of Electro-Communications(UEC) |
| Date | 2020-12-02 |
| Paper # | IT2020-40 |
| Volume (vol) | vol.120 |
| Number (no) | IT-268 |
| Page | pp.pp.91-95(IT), |
| #Pages | 5 |
| Date of Issue | 2020-11-24 (IT) |