Norio Konno

Discret. Math., April, 2024

A quantization of interacting particle systems.

[BibT_eX]

[DOI]

Quantum Inf. Comput., March, 2024

2023

Absolute Zeta fountions for Zeta functions of quantum cellular automata.

[BibT_eX]

[DOI]

Jirô Akahori

Quantum Inf. Comput., December, 2023

Metzler/Zeta Correspondence.

[BibT_eX]

[DOI]

Discret. Math., August, 2023

2022

Mahler/Zeta Correspondence.

[BibT_eX]

[DOI]

Quantum Inf. Process., 2022

Comfortable place for quantum walker on finite path.

[BibT_eX]

[DOI]

Quantum Inf. Process., 2022

/ Zeta correspondence.

[BibT_eX]

[DOI]

Quantum Inf. Comput., 2022

Szegedy walk.

[BibT_eX]

[DOI]

Ayaka Ishikawa

Quantum Inf. Comput., 2022

Return Probability of Quantum and Correlated Random Walks.

[BibT_eX]

[DOI]

Chusei Kiumi

Shunya Tamura

Entropy, 2022

The scattering matrix with respect to an Hermitian matrix of a graph.

[BibT_eX]

[DOI]

Discret. Math., 2022

On the average hitting times of the squares of cycles.

[BibT_eX]

[DOI]

Discret. Appl. Math., 2022

2021

Relation between Quantum Walks with Tails and Quantum Walks with Sinks on Finite Graphs.

[BibT_eX]

[DOI]

Martin Stefanák

Symmetry, 2021

A Discontinuity of the Energy of Quantum Walk in Impurities.

[BibT_eX]

[DOI]

Symmetry, 2021

General condition of quantum teleportation by one-dimensional quantum walks.

[BibT_eX]

[DOI]

Tomoki Yamagami

Quantum Inf. Process., 2021

Grover/Zeta Correspondence based on the Konno-Sato theorem.

[BibT_eX]

[DOI]

Quantum Inf. Process., 2021

Eigenvalues of quantum walk induced by recurrence properties of the underlying birth and death process: application to computation of an edge state.

[BibT_eX]

[DOI]

Quantum Inf. Process., 2021

Return probability and self-similarity of the Riesz walk.

[BibT_eX]

[DOI]

Ryota Hanaoka

Quantum Inf. Comput., 2021

A zeta function related to the transition matrix of the discrete-time quantum walk on a graph.

[BibT_eX]

[DOI]

Discret. Math., 2021

A weighted graph zeta function involved in the Szegedy walk.

[BibT_eX]

[DOI]

Ayaka Ishikawa

CoRR, 2021

A Characteristic Polynomial for the Transition Probability Matrix of Correlated Random Walks on a Graph.

[BibT_eX]

[DOI]

Electron. J. Comb., 2021

2020

Eigenvalues of Two-State Quantum Walks Induced by the Hadamard Walk.

[BibT_eX]

[DOI]

Entropy, 2020

Zeta Functions with Respect to General Coined Quantum Walk of Periodic Graphs.

[BibT_eX]

[DOI]

Electron. J. Comb., 2020

2019

Periodicity for the 3-state quantum walk on cycles.

[BibT_eX]

[DOI]

Quantum Inf. Comput., 2019

Stationary measure for three-state quantum walk.

[BibT_eX]

[DOI]

Quantum Inf. Comput., 2019

Phase Measurement of Quantum Walks: Application to Structure Theorem of the Positive Support of the Grover Walk.

[BibT_eX]

[DOI]

Electron. J. Comb., 2019

2018

Partition-based discrete-time quantum walks.

[BibT_eX]

[DOI]

Quantum Inf. Process., 2018

How does Grover walk recognize the shape of crystal lattice?

[BibT_eX]

[DOI]

Quantum Inf. Process., 2018

Numerical and Non-Asymptotic Analysis of Elias's and Peres's Extractors with Finite Input Sequences.

[BibT_eX]

[DOI]

Amonrat Prasitsupparote

Junji Shikata

Entropy, 2018

2017

Stationary amplitudes of quantum walks on the higher-dimensional integer lattice.

[BibT_eX]

[DOI]

Quantum Inf. Process., 2017

Quaternionic quantum walks of Szegedy type and zeta functions of graphs.

[BibT_eX]

[DOI]

Quantum Inf. Comput., 2017

Quaternionic Grover Walks and Zeta Functions of Graphs with Loops.

[BibT_eX]

[DOI]

Hideo Mitsuhashi

Graphs Comb., 2017

Numerical analysis of Elias's and Peres's deterministic extractors.

[BibT_eX]

[DOI]

Amonrat Prasitsupparote

Junji Shikata

Proceedings of the 51st Annual Conference on Information Sciences and Systems, 2017

2016

The discrete-time quaternionic quantum walk on a graph.

[BibT_eX]

[DOI]

Hideo Mitsuhashi

Quantum Inf. Process., 2016

2015

Limit distributions for different forms of four-state quantum walks on a two-dimensional lattice.

[BibT_eX]

[DOI]

Quantum Inf. Comput., 2015

The non-uniform stationary measure for discrete-time quantum walks in one dimension.

[BibT_eX]

[DOI]

Masato Takei

Quantum Inf. Comput., 2015

Time-averaged limit measure of the Wojcik model.

[BibT_eX]

[DOI]

Takako Endo

Quantum Inf. Comput., 2015

Limit theorems of a two-phase quantum walk with one defect.

[BibT_eX]

[DOI]

Quantum Inf. Comput., 2015

2014

The uniform measure for discrete-time quantum walks in one dimension.

[BibT_eX]

[DOI]

Quantum Inf. Process., 2014

One-dimensional quantum walks via generating function and the CGMV method.

[BibT_eX]

[DOI]

Quantum Inf. Comput., 2014

Localization of Discrete Time Quantum Walks on the Glued Trees.

[BibT_eX]

[DOI]

Entropy, 2014

2013

Limit measures of inhomogeneous discrete-time quantum walks in one dimension.

[BibT_eX]

[DOI]

Tomasz Luczak

Quantum Inf. Process., 2013

Combinatorial and approximative analyses in a spatially random division process

[BibT_eX]

[DOI]

CoRR, 2013

2012

On the relation between quantum walks and zeta functions.

[BibT_eX]

[DOI]

Quantum Inf. Process., 2012

Sojourn times of the Hadamard walk in one dimension.

[BibT_eX]

[DOI]

Quantum Inf. Process., 2012

Time averaged distribution of a discrete-time quantum walk on the path.

[BibT_eX]

[DOI]

Quantum Inf. Process., 2012

Limit theorems for the discrete-time quantum walk on a graph with joined half lines.

[BibT_eX]

[DOI]

Kota Chisaki

Quantum Inf. Comput., 2012

2011

Localization of quantum walks via the CGMV method.

[BibT_eX]

[DOI]

Quantum Inf. Comput., 2011

Return probability of quantum walks with final-time dependence.

[BibT_eX]

[DOI]

Quantum Inf. Comput., 2011

Entanglement for quantum walks on the line.

[BibT_eX]

[DOI]

Takuya Machida

Quantum Inf. Comput., 2011

Crossovers induced by discrete-time quantum walks.

[BibT_eX]

[DOI]

Quantum Inf. Comput., 2011

2010

Localization of an inhomogeneous discrete-time quantum walk on the line.

[BibT_eX]

[DOI]

Quantum Inf. Process., 2010

Limit theorems for quantum walks with memory.

[BibT_eX]

[DOI]

Takuya Machida

Quantum Inf. Comput., 2010

Quantum walks and elliptic integrals.

[BibT_eX]

[DOI]

Math. Struct. Comput. Sci., 2010

Continuous-time quantum walks on the threshold network model.

[BibT_eX]

[DOI]

Math. Struct. Comput. Sci., 2010

2009

One-dimensional discrete-time quantum walks on random environments.

[BibT_eX]

[DOI]

Quantum Inf. Process., 2009

Spectral Properties of the Threshold Network Model.

[BibT_eX]

[DOI]

Nobuaki Obata

Internet Math., 2009

Limit Theorem for a Time-Dependent Coined Quantum Walk on the Line.

[BibT_eX]

[DOI]

Takuya Machida

Proceedings of the Natural Computing - 4th International Workshop on Natural Computing, 2009

2008

Quantum Walks and Quantum Cellular Automata.

[BibT_eX]

[DOI]

Proceedings of the Cellular Automata, 2008

2006

VIP-club phenomenon: Emergence of elites and masterminds in social networks.

[BibT_eX]

[DOI]

Naoki Masuda

Soc. Networks, 2006

Phase Diagrams and Correlation Inequalities of a Three-State Stochastic Epidemic Model on the Square Lattice.

[BibT_eX]

[DOI]

Int. J. Bifurc. Chaos, 2006

2004

From stochastic partial difference equations to stochastic cellular automata through the ultra-discretization.

[BibT_eX]

[DOI]

Toshihiko Kunimatsu

Xia Ma

Appl. Math. Comput., 2004

2002

Quantum Random Walks in One Dimension.

[BibT_eX]

[DOI]

Quantum Inf. Process., 2002

Limit theorems and absorption problems for quantum random walks in one dimension.

[BibT_eX]

[DOI]

Quantum Inf. Comput., 2002

Parity law for population dynamics of N-species with cyclic advantage competitions.

[BibT_eX]

[DOI]

Kazunori Sato

Naoto Yoshida

Appl. Math. Comput., 2002

2001

Markov Chain Model Approximating the Hodgkin-Huxley Neuron.

[BibT_eX]

[DOI]

Yuichi Sakumura

Kazuyuki Aihara

Proceedings of the Artificial Neural Networks, 2001

1998

Associative memory system using fuzzy sets.

[BibT_eX]

[DOI]

Yukinori Suzuki