Presentation | 2022-06-10 The skeletal structure of transition probabilities on quantum-walk-replicating random walks Tomoki Yamagami, Etsuo Segawa, Ken'ichiro Tanaka, Takatomo Mihana, Andre Roehm, Ryoichi Horisaki, Makoto Naruse, |
---|---|
PDF Download Page | PDF download Page Link |
Abstract(in Japanese) | (See Japanese page) |
Abstract(in English) | In this report, we analyze the transition probabilities of random walk replicating the probability distribution of quantum walks. The graph for the position of the transition probability has a ``skeleton structure'' that does not depend on time variation even though it has complicated oscillation. First, we present a mathematical statement to support this skeleton structure, touching on an example of QWRW transition probabilities. Then, we give a mathematical definition of the skeleton structure and investigate its properties. Furthermore, we define a random walk whose transition probabilities are defined as the skeleton structure directly and introduce that it is possible to observe behavior close to the one seen in quantum walks even with a simpler model. |
Keyword(in Japanese) | (See Japanese page) |
Keyword(in English) | quantum walk / random walk / transition probability |
Paper # | NLP2022-19,CCS2022-19 |
Date of Issue | 2022-06-02 (NLP, CCS) |
Conference Information | |
Committee | CCS / NLP |
---|---|
Conference Date | 2022/6/9(2days) |
Place (in Japanese) | (See Japanese page) |
Place (in English) | |
Topics (in Japanese) | (See Japanese page) |
Topics (in English) | |
Chair | Megumi Akai(Hokkaido Univ.) / Akio Tsuneda(Kumamoto Univ.) |
Vice Chair | Masaki Aida(TMU) / Hidehiro Nakano(Tokyo City Univ.) / Hiroyuki Torikai(Hosei Univ.) |
Secretary | Masaki Aida(TDK) / Hidehiro Nakano(Shibaura Insti. of Tech.) / Hiroyuki Torikai(Sojo Univ.) |
Assistant | Tomoyuki Sasaki(Shonan Instit. of Tech.) / Hiroyasu Ando(Tsukuba Univ.) / Miki Kobayashi(Rissho Univ.) / " Hiroyuki YASUDA(The Univ. of Tokyo) / Yuichi Yokoi(Nagasaki Univ.) / Yoshikazu Yamanaka(Utsunomiya Univ.) |
Paper Information | |
Registration To | Technical Committee on Complex Communication Sciences / Technical Committee on Nonlinear Problems |
---|---|
Language | JPN |
Title (in Japanese) | (See Japanese page) |
Sub Title (in Japanese) | (See Japanese page) |
Title (in English) | The skeletal structure of transition probabilities on quantum-walk-replicating random walks |
Sub Title (in English) | |
Keyword(1) | quantum walk |
Keyword(2) | random walk |
Keyword(3) | transition probability |
1st Author's Name | Tomoki Yamagami |
1st Author's Affiliation | The University of Tokyo(UTokyo) |
2nd Author's Name | Etsuo Segawa |
2nd Author's Affiliation | Yokohama National University(YNU) |
3rd Author's Name | Ken'ichiro Tanaka |
3rd Author's Affiliation | The University of Tokyo(UTokyo) |
4th Author's Name | Takatomo Mihana |
4th Author's Affiliation | The University of Tokyo(UTokyo) |
5th Author's Name | Andre Roehm |
5th Author's Affiliation | The University of Tokyo(UTokyo) |
6th Author's Name | Ryoichi Horisaki |
6th Author's Affiliation | The University of Tokyo(UTokyo) |
7th Author's Name | Makoto Naruse |
7th Author's Affiliation | The University of Tokyo(UTokyo) |
Date | 2022-06-10 |
Paper # | NLP2022-19,CCS2022-19 |
Volume (vol) | vol.122 |
Number (no) | NLP-65,CCS-66 |
Page | pp.pp.94-99(NLP), pp.94-99(CCS), |
#Pages | 6 |
Date of Issue | 2022-06-02 (NLP, CCS) |