2011 - 2014 Non-perturbative spectral analysis of quantum system by stochastic method
2008 - 2010 New smoothness conditions on Riesz spaces with applications to nonadditive measures and Choquet integrals
量子ウォークを用いた量子アルゴリズムの研究
散乱理論を用いた量子ウォークの弱収束定理の研究
量子場と相互作用する量子系のスペクトル解析
曲がった時空上の場の量子論のスペクトル解析とその応用
無限グラフ上のラプラシアンのスペクトルとBECの研究
IMI共同利用(短期共同研究)量子シミュレータとしての量子ウォークの数理
RIMS共同利用(グループ型A)量子ウォークとスペクトル散乱理論の数理
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Papers (36):
Keisuke Asahara, Daiju Funakawa, Etsuo Segawa, Akito Suzuki, Noriaki Teranishi. Spectral mapping theorem of an abstract non-unitary quantum walk. Linear Algebra and its Applications. 2023. 676. 1. 1-24
Yasumichi Matsuzawa, Akito Suzuki, Yohei Tanaka, Noriaki Teranishi, Kazuyuki Wada. The Witten index for one-dimensional split-step quantum walks under the non-Fredholm condition. Rev. Math. Phys. 2023. 35. 06
Toru Fuda, Daiju Funakawa, Satoshi Sasayama, Akito Suzuki. Eigenvalues and threshold resonances of a two-dimensional split-step quantum walk with strong shift. Quantum Stud.: Math. Found. 2023
Masaya Maeda, Akito Suzuki, Kazuyuki Wada. Absence of singular continuous spectra and embedded eigenvalues for one-dimensional quantum walks with general long-range coins. Reviews in Mathematical Physics. 2022
Maeda, Masaya (Maeda, Hironobu, Segawa, Etsuo, Suzuki, Akito, Suzuki, Kanako. Dispersive estimates for quantum walks on 1D lattice. JOURNAL OF THE MATHEMATICAL SOCIETY OF JAPAN. 2022. 74. 1. 217-246