| Presentation | 2022-01-21 Bayesian Holevo and Nagaoka-Hayashi bounds for quantum-state estimation Jun Suzuki, |
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| PDF Download Page |  PDF download Page Link |
| Abstract(in Japanese) | (See Japanese page) |
| Abstract(in English) | In this work we propose a Bayesian version of the Nagaoka-Hayashi bound when estimating multiple parameters for quantum states. This bound is a generalization of a recently proposed bound for a point-wise estimation problem. We then show that the proposed bound can be efficiently computed as a semidefinite programming problem. As a lower bound, we also derive a Bayesian version of the Holevo bound from the Bayesian Nagaoka-Hayashi bound. Lastly, we prove that the new bound is tighter than the generalized Personick bound, studied by Rubio and Dunningham. |
| Keyword(in Japanese) | (See Japanese page) |
| Keyword(in English) | Quantum-state estimationBayesian riskHolevo boundNagaoka-Hayashi boundsemidefinite programming |
| Paper # | IT2021-69,SIP2021-77,RCS2021-237 |
| Date of Issue | 2022-01-13 (IT, SIP, RCS) |
| Conference Information | |
| Committee | RCS / SIP / IT |
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| Conference Date | 2022/1/20(2days) |
| Place (in Japanese) | (See Japanese page) |
| Place (in English) | Online |
| Topics (in Japanese) | (See Japanese page) |
| Topics (in English) | |
| Chair | Eiji Okamoto(Nagoya Inst. of Tech.) / Yukihiro Bandou(NTT) / Tadashi Wadayama(Nagoya Inst. of Tech.) |
| Vice Chair | Toshihiko Nishimura(Hokkaido Univ.) / Tomoya Tandai(Toshiba) / Fumihide Kojima(NICT) / Toshihisa Tanaka(Tokyo Univ. Agri.&Tech.) / Takayuki Nakachi(Ryukyu Univ.) / Tetsuya Kojima(Tokyo Kosen) |
| Secretary | Toshihiko Nishimura(NEC) / Tomoya Tandai(Panasonic) / Fumihide Kojima(Xiaomi) / Toshihisa Tanaka(Takushoku Univ.) / Takayuki Nakachi(Tokyo Univ. Agri.&Tech.) / Tetsuya Kojima(Saitamai Univ.) |
| Assistant | Koichi Adachi(Univ. of Electro-Comm.) / Osamu Nakamura(Sharp) / Manabu Sakai(Mitsubishi Electric) / Masashi Iwabuchi(NTT) / Tatsuki Okuyama(NTT DOCOMO) / Taichi Yoshida(UEC) / Seisuke Kyochi(Univ. of Kitakyushu) / Masanori Hirotomo(Saga Univ.) |
| Paper Information | |
| Registration To | Technical Committee on Radio Communication Systems / Technical Committee on Signal Processing / Technical Committee on Information Theory |
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| Language | ENG |
| Title (in Japanese) | (See Japanese page) |
| Sub Title (in Japanese) | (See Japanese page) |
| Title (in English) | Bayesian Holevo and Nagaoka-Hayashi bounds for quantum-state estimation |
| Sub Title (in English) | |
| Keyword(1) | Quantum-state estimationBayesian riskHolevo boundNagaoka-Hayashi boundsemidefinite programming |
| 1st Author's Name | Jun Suzuki |
| 1st Author's Affiliation | The University of Electro-Communications(UEC) |
| Date | 2022-01-21 |
| Paper # | IT2021-69,SIP2021-77,RCS2021-237 |
| Volume (vol) | vol.121 |
| Number (no) | IT-327,SIP-328,RCS-329 |
| Page | pp.pp.231-236(IT), pp.231-236(SIP), pp.231-236(RCS), |
| #Pages | 6 |
| Date of Issue | 2022-01-13 (IT, SIP, RCS) |