| Presentation | 2022-03-11 Divergence rates and asymptotic convertibility of states on quantum spin chains Tomoyasu Tsuchiya, Tomohiro Ogawa, |
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| PDF Download Page |  PDF download Page Link |
| Abstract(in Japanese) | (See Japanese page) |
| Abstract(in English) | In the theory of quantum information spectrum methods, the divergence spectral rate and the entropy spectral rate play an important role. The divergence spectral rate is defined as a kind of limit on the likelihood ratio of probability distributions and quantum states, and in very general situations, coding rates and error probabilities are expressed in terms of the divergence spectral rate. On the other hand, it is difficult to calculate the divergence spectral rate as a concrete value, except for i.i.d. states and their mixed states. In this study, we investigate the conditions under which the divergence spectral rate and the divergence rate coincide. We consider states with factorization property, such as the Gibbs states and the finitely correlated states in one-dimensional spin chains, and study several conditions under which the divergence rate and the divergence spectral rate coincide. |
| Keyword(in Japanese) | (See Japanese page) |
| Keyword(in English) | quantum information spectrum methods / divergence spectral rate / factorization property / finitly correated state |
| Paper # | IT2021-124,ISEC2021-89,WBS2021-92,RCC2021-99 |
| Date of Issue | 2022-03-03 (IT, ISEC, WBS, RCC) |
| Conference Information | |
| Committee | IT / ISEC / RCC / WBS |
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| Conference Date | 2022/3/10(2days) |
| Place (in Japanese) | (See Japanese page) |
| Place (in English) | Online |
| Topics (in Japanese) | (See Japanese page) |
| Topics (in English) | Joint Meeting of ISEC, IT, RCC, and WBS |
| Chair | Tadashi Wadayama(Nagoya Inst. of Tech.) / Tetsuya Izu(Fujitsu Labs.) / HUAN-BANG LI(NICT) / Masanori Hamamura(Kochi Univ. of Tech.) |
| Vice Chair | Tetsuya Kojima(Tokyo Kosen) / Noboru Kunihiro(Tsukuba Univ.) / Goichiro Hanaoka(AIST) / Shunichi Azuma(Nagoya Univ.) / Koji Ishii(Kagawa Univ.) / Takashi Shono(INTEL) / Masahiro Fujii(Utsunomiya Univ.) |
| Secretary | Tetsuya Kojima(Saitamai Univ.) / Noboru Kunihiro(Yamaguchi Univ.) / Goichiro Hanaoka(Fujitsu Labs.) / Shunichi Azuma(Ibaraki Univ.) / Koji Ishii(CRIEPI) / Takashi Shono(Osaka Univ.) / Masahiro Fujii(National Defence Academy) |
| Assistant | Masanori Hirotomo(Saga Univ.) / Takahiro Matsuda(AIST) / SHAN LIN(NICT) / Masaki Ogura(Osaka Univ.) / Masayuki Kinoshita(Chiba Univ. of Tech.) / Sun Ran(Ibaraki Univ.) |
| Paper Information | |
| Registration To | Technical Committee on Information Theory / Technical Committee on Information Security / Technical Committee on Reliable Communication and Control / Technical Committee on Wideband System |
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| Language | JPN |
| Title (in Japanese) | (See Japanese page) |
| Sub Title (in Japanese) | (See Japanese page) |
| Title (in English) | Divergence rates and asymptotic convertibility of states on quantum spin chains |
| Sub Title (in English) | |
| Keyword(1) | quantum information spectrum methods |
| Keyword(2) | divergence spectral rate |
| Keyword(3) | factorization property |
| Keyword(4) | finitly correated state |
| 1st Author's Name | Tomoyasu Tsuchiya |
| 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 | 2022-03-11 |
| Paper # | IT2021-124,ISEC2021-89,WBS2021-92,RCC2021-99 |
| Volume (vol) | vol.121 |
| Number (no) | IT-428,ISEC-429,WBS-430,RCC-431 |
| Page | pp.pp.237-242(IT), pp.237-242(ISEC), pp.237-242(WBS), pp.237-242(RCC), |
| #Pages | 6 |
| Date of Issue | 2022-03-03 (IT, ISEC, WBS, RCC) |