| Presentation | 2015-06-12 Limit distribution of a time-dependent 3-period quantum walk Takuya Machida, |
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| PDF Download Page |  PDF download Page Link |
| Abstract(in Japanese) | (See Japanese page) |
| Abstract(in English) | Quantum walks are quantum analogs of random walks and have a background of quantum physics. Also, their applications have largely headed for quantum computers. From the view point of mathematics, the long-time limit theorems of quantum walks have been studied to mention the behavior of the walker after a lot of evolutions. In this paper, our focus is put on a discrete-time quantum walk on the line. The walker determines its evolution by unitary operators which are chosen depending on time. The new result presented this time is a long-time limit distribution for a 3-period time-dependent quantum walk. The limit distribution shows an interesting behavior which we have never seen in a time-independent quantum walk or a 2-period time-dependent quantum walk. This is a joint work with F. Alberto Grunbaum (University of California, Berkeley) [1]. |
| Keyword(in Japanese) | (See Japanese page) |
| Keyword(in English) | Quantum walk / Limit distribution / Time-dependent time evolution |
| Paper # | NLP2015-63,CCS2015-25 |
| Date of Issue | 2015-06-04 (NLP, CCS) |
| Conference Information | |
| Committee | NLP / CCS |
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| Conference Date | 2015/6/11(2days) |
| Place (in Japanese) | (See Japanese page) |
| Place (in English) | Waseda Univerisity |
| Topics (in Japanese) | (See Japanese page) |
| Topics (in English) | |
| Chair | Kenya Jinno(Nippon Inst. of Tech.) / Hiroo Sekiya(Chiba Univ.) |
| Vice Chair | Naoto Fujisaka(Hiroshima City Univ.) / Yasuhiro Tsubo(Ritsumeikan Univ.) / Naoki Wakamiya(Osaka Univ.) |
| Secretary | Naoto Fujisaka(Tokyo Univ. of Science) / Yasuhiro Tsubo(Konan Univ.) / Naoki Wakamiya(Kagawa National College of Tech.) |
| Assistant | Hidehiro Nakano(Tokyo City Univ.) / Hiroyuki Asahara(Okayama Univ. of Science) / Takayuki Kimura(Nippon Inst. of Tech.) / Song-Ju Kim(NIMS) / Ryo Takahashi(Kyoto Univ.) / Junnosuke Teramae(Osaka Univ.) |
| Paper Information | |
| Registration To | Technical Committee on Nonlinear Problems / Technical Committee on Complex Communication Sciences |
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| Language | JPN |
| Title (in Japanese) | (See Japanese page) |
| Sub Title (in Japanese) | (See Japanese page) |
| Title (in English) | Limit distribution of a time-dependent 3-period quantum walk |
| Sub Title (in English) | |
| Keyword(1) | Quantum walk |
| Keyword(2) | Limit distribution |
| Keyword(3) | Time-dependent time evolution |
| 1st Author's Name | Takuya Machida |
| 1st Author's Affiliation | Japan Society for the Promotion of Science(JSPS) |
| Date | 2015-06-12 |
| Paper # | NLP2015-63,CCS2015-25 |
| Volume (vol) | vol.115 |
| Number (no) | NLP-77,CCS-78 |
| Page | pp.pp.139-142(NLP), pp.139-142(CCS), |
| #Pages | 4 |
| Date of Issue | 2015-06-04 (NLP, CCS) |