Weak Limit Theorem of a Two-phase Quantum Walk with One Defect-Reference-Cited by-同舟云学术

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Weak Limit Theorem of a Two-phase Quantum Walk with One Defect

Published:2016 Issue:1 Volume:22 Page:17-29
ISSN:1340-9050
Container-title:Interdisciplinary Information Sciences
language:en
Short-container-title:IIS

Author:

ENDO Shimpei¹,ENDO Takako²,KONNO Norio³,SEGAWA Etsuo⁴,TAKEI Masato³

Affiliation:

1. Laboratoire Kastler Brossel, Ecole Normale Superieure

2. Department of Physics, Ochanomizu University

3. Department of Applied Mathematics, Faculty of Engineering, Yokohama National University

4. Graduate School of Information Sciences, Tohoku University

Publisher

Graduate School of Information Sciences, Tohoku University

Subject

General Medicine

Link

https://www.jstage.jst.go.jp/article/iis/22/1/22_2016.R.01/_pdf

Reference24 articles.

1. 1) A. Ahlbrecht, V. B. Scholz, and A. H. Werner, ``Disordered quantum walks in one lattice dimension,'' Journal of Mathematical Physics, 52: 102201 (2011).

2. 2) A. Ambainis, A. Backurs, N. Nahimovs, R. Ozols, and A. Rivosh, ``Search by quantum walks on two-dimensional grid without amplitude amplification,'' Springer, Lecture Notes in Computer Science, 7582: 87-97 (2013).

3. 3) A. A. Burkov and L. Balents, ``Weyl semimetal in a topological insulator multilayer,'' Physical Review Letters, 107: 127205 (2011).

4. 4) M. J. Cantero, F. A. Grunbaum, L. Moral, and L. Velazquez, ``One-dimensional quantum walks with one defect,'' Reviews in Mathematical Physics, 24: 1250002 (2012).

5. 5) Y. L. Chen, J. G. Analytis, J.-H. Chu, Z. K. Liu, S.-K. Mo, X. L. Qi, H. J. Zhang, D. H. Lu, X. Dai, Z. Fang, S. C. Zhang, I. R. Fisher, Z. Hussain, and Z.-X. Shen, ``Experimental realization of a three-dimensional topological insulator, Bi 2Te3'' Science, 325: 178-181 (2009).

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1. Eigenvalues of Two-State Quantum Walks Induced by the Hadamard Walk;Entropy;2020-01-20

2. Generalized eigenfunctions and scattering matrices for position-dependent quantum walks;Reviews in Mathematical Physics;2019-07-29

3. Localization for a one-dimensional split-step quantum walk with bound states robust against perturbations;Journal of Mathematical Physics;2018-08

4. Weak limit theorem for a nonlinear quantum walk;Quantum Information Processing;2018-07-17

5. Quantum walks with an anisotropic coin II: scattering theory;Letters in Mathematical Physics;2018-05-21

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