| Presentation | 2023-05-12 The Gap Persistence Theorem Between Nagaoka-Hayashi Bound and Holevo Bound for Quantum Multiparameter Estimation Lorcan Conlon, Jun Suzuki, Ping Koy Lam, Syed Assad, |
|---|---|
| PDF Download Page |  PDF download Page Link |
| Abstract(in Japanese) | (See Japanese page) |
| Abstract(in English) | In this study we propose the concept of gap persistency between two lower bounds for the mean-square error when estimating multiple parameters encoded in a quantum state. In particular, we focus on two different types of bounds, the Nagaoka-Hayashi and the Holevo bounds. It is shown that if there exists a gap between them for a single copy of a state, then it persists for any finite number of multiple copies of states. This implies that one cannot attain the Holevo bound even if one measures quantum states by performing a collective measurement on sufficiently large number of states. |
| Keyword(in Japanese) | (See Japanese page) |
| Keyword(in English) | Quantum state estimationHolevo boundNagaoka-Hayashi boundgap persistent theorem |
| Paper # | IT2023-11,EMM2023-11 |
| Date of Issue | 2023-05-04 (IT, EMM) |
| Conference Information | |
| Committee | EMM / IT |
|---|---|
| Conference Date | 2023/5/11(2days) |
| Place (in Japanese) | (See Japanese page) |
| Place (in English) | Rakuyu Kaikan (Kyoto Univ. Yoshida-South Campus) |
| Topics (in Japanese) | (See Japanese page) |
| Topics (in English) | Information Security, Information Theory, Information Hiding, etc. |
| Chair | Ryoichi Nishimura(NICT) / Tetsuya Kojima(Tokyo Kosen) |
| Vice Chair | Kotaro Sonoda(Nagasaki Univ.) / Masatsugu Ichino(Univ. of Electro-Comm.) / Yasuyuki Nogami(Okayama Univ.) |
| Secretary | Kotaro Sonoda(Kaishi Professional Univ.) / Masatsugu Ichino(Chiba Univ.) / Yasuyuki Nogami(Saitamai Univ.) |
| Assistant | Tomoko Kajiyama(Hiroshima City Univ.) / Shieyuki Sakazawa(Osaka Inst. of Tech.) / Takayuki Nozaki(Yamaguchi Univ.) |
| Paper Information | |
| Registration To | Technical Committee on Enriched MultiMedia / Technical Committee on Information Theory |
|---|---|
| Language | ENG |
| Title (in Japanese) | (See Japanese page) |
| Sub Title (in Japanese) | (See Japanese page) |
| Title (in English) | The Gap Persistence Theorem Between Nagaoka-Hayashi Bound and Holevo Bound for Quantum Multiparameter Estimation |
| Sub Title (in English) | |
| Keyword(1) | Quantum state estimationHolevo boundNagaoka-Hayashi boundgap persistent theorem |
| 1st Author's Name | Lorcan Conlon |
| 1st Author's Affiliation | Australian National University(ANU) |
| 2nd Author's Name | Jun Suzuki |
| 2nd Author's Affiliation | The University of Electro-Communications(UEC) |
| 3rd Author's Name | Ping Koy Lam |
| 3rd Author's Affiliation | Australian National University(ANU) |
| 4th Author's Name | Syed Assad |
| 4th Author's Affiliation | Australian National University(ANU) |
| Date | 2023-05-12 |
| Paper # | IT2023-11,EMM2023-11 |
| Volume (vol) | vol.123 |
| Number (no) | IT-14,EMM-15 |
| Page | pp.pp.55-60(IT), pp.55-60(EMM), |
| #Pages | 6 |
| Date of Issue | 2023-05-04 (IT, EMM) |