Connecting the discrete- and continuous-time quantum walks

Cited by (179)

Items 101–179 of 179

1. Simulating continuous-time Hamiltonian dynamics by way of a discrete-time quantum walk
   Albert T. Schmitz, William A. Schwalm · 2016 · Physics Letters A
2. Discrete dynamics and non-Markovianity
   Kimmo Luoma, Jyrki Piilo · 2016 · Journal of Physics B Atomic Molecular and Optical Physics
3. Twisted quantum walks, generalised Dirac equation and Fermion doubling
   Nicolas Jolly, Giuseppe Di Molfetta · 2023 · The European Physical Journal D
4. Revisiting one-dimensional discrete-time quantum walks with general coin
   Mahesh N. Jayakody, Chandrakala Meena, Priodyuti Pradhan · 2023 · Physics Open
5. Continuous time limit of the DTQW in 2D+1 and plasticity
   Michael Manighalam, Giuseppe Di Molfetta · 2021 · Quantum Information Processing
6. Perfect edge state transfer on cubelike graphs
   Xiwang Cao · 2021 · Quantum Information Processing
7. Propagation in quantum walks and relativistic diffusions
   Fabrice Debbasch, Giuseppe Di Molfetta, D. Espaze, V. Foulonneau · 2012 · Physica Scripta
8. Green-function approach for scattering quantum walks
   Fabiano M. Andrade, M. G. E. da Luz · 2011 · Physical Review A
9. Encoding qubits into harmonic-oscillator modes via quantum walks in phase space
   Chai-Yu Lin, Wang-Chang Su, Shin-Tza Wu · 2020 · Quantum Information Processing
10. Quantum transport on honeycomb networks
    Geyson Maquiné Batalha, A. Volta, Walter T. Strunz, Mircea Daniel Galiceanu · 2022 · Scientific Reports
11. Quantum circuits for discrete-time quantum walks with position-dependent coin operator
    Ugo Nzongani, Julien Zylberman, Carlo-Elia Doncecchi, Armando Pérez, Fabrice Debbasch, Pablo Arnault · 2023 · Quantum Information Processing
12. A remark on zeta functions of finite graphs via quantum walks
    Yusuke Higuchi, Norio Konno, Iwao Sato, Etsuo Segawa · 2014 · Pacific Journal of Mathematics for Industry
13. Global Optimization With Quantum Walk Enhanced Grover Search
    Yan Wang · 2014 · ASME International Design Engineering Technical Conferences and Computers and Information in Engineering Conference (IDETC/CIE)
14. Experimental investigation of equivalent Laplacian and adjacency quantum walks on irregular graphs
    Dengke Qu, Lei Xiao, Kunkun Wang, Xiang Zhan, Peng Xue · 2022 · Physical Review A
15. Symmetry in quantum walks
    Todd A. Brun, Hari Krovi · 2007 · PhDT
16. Simulating Stochastic Diffusions by Quantum Walks
    Yan Wang · 2013 · ASME International Design Engineering Technical Conferences and Computers and Information in Engineering Conference (IDETC/CIE)
17. The Heun differential equation and the Gauss differential equation related to quantum walks
    Norio Konno, Takuya Machida, Tohru Wakasa · 2011 · Institutional Repositories DataBase (IRDB)
18. Complete characterization of mixing time for the continuous quantum walk on the hypercube with markovian decoherence model
    Milosh Drezgich, Andrew P. Hines, Mohan Sarovar, Shankar Sastry · 2009 · Quantum Information and Computation
19. Controllability of quantum walks on graphs
    Francesca Albertini, Domenico D’Alessandro · 2012 · Mathematics of Control Signals and Systems
20. Eigenbasis of the evolution operator of 2-tessellable quantum walks
    Yusuke Higuchi, Renato Portugal, Iwao Sato, Etsuo Segawa · 2019 · Linear Algebra and its Applications
21. A systematic method to building Dirac quantum walks coupled to electromagnetic fields
    Gareth Jay, Fabrice Debbasch, Jingbo B. Wang · 2020 · Quantum Information Processing
22. Application of quantum walks on graph structures to quantum computing
    Neil B. Lovett · 2011 · White Rose eTheses Online (University of Leeds, The University of Sheffield, University of York)
23. First Detection and Tunneling Time of a Quantum Walk
    Zhenbo Ni, Yujun Zheng · 2023 · Entropy
24. Quantum transport on modified multilayered spiderwebs
    Cássio Macêdo Maciel, Walter T. Strunz, Mircea Daniel Galiceanu · 2018 · Journal of Physics A Mathematical and Theoretical
25. General methods and properties to evaluate continuum limits of the 1D discrete time quantum walk
    Michael Manighalam, Mark Kon · 2020 · Quantum Information Processing
26. Dirac quantum walks with conserved angular momentum
    Gareth Jay, Pablo Arnault, Fabrice Debbasch · 2021 · Quantum Studies Mathematics and Foundations
27. Steepest entropy ascent solution for a continuous-time quantum walker
    Rohit Kishan Ray · 2022 · Physical review. E
28. Lackadaisical discrete-time quantum walk on Johnson graph
    Fangjie Peng, Meng Li, Xiaoming Sun · 2024 · Physica A Statistical Mechanics and its Applications
29. Superdiffusivity of quantum walks: A Feynman sum-over-paths description
    Fabiano M. Andrade, M. G. E. da Luz · 2012 · Physical Review A
30. How to suppress dark states in quantum networks and bio-engineered structures
    Thao P. Le, Ludovica Donati, Simone Severini B, Filippo Caruso · 2018 · Journal of Physics A Mathematical and Theoretical
31. A Quantum Walk Enhanced Grover Search Algorithm for Global Optimization
    Yan Wang · 2017 · arXiv (Cornell University)
32. Correlation effects in a discrete quantum random walk
    J B Stang, A T Rezakhani, Barry C. Sanders · 2009 · Journal of Physics A Mathematical and Theoretical
33. Quantum centipedes: collective dynamics of interacting quantum walkers
    P. L. Krapivsky, J. M. Luck, Kirone Mallick · 2016 · Journal of Physics A Mathematical and Theoretical
34. Phase-space patterns of quantum transport on ordered and disordered networks
    X. P. Xu, F. Liu · 2008 · Physical Review A
35. A Novel Bulk-Optics Scheme for Quantum Walk with High Phase Stability
    Andrea Geraldi, L. D. Bonavena, Carlo Liorni, Paolo Mataloni, Álvaro Cuevas · 2019 · Condensed Matter
36. Systematic dimensionality reduction for continuous-time quantum walks of interacting fermions
    Josh Izaac, Jingbo B. Wang · 2017 · Physical review. E
37. An analytic solution for one-dimensional quantum walks
    Ian Fuss, Lang White, Peter J. Sherman, Sanjeev Naguleswaran · 2007 · arXiv (Cornell University)
38. Search algorithm on strongly regular graph by lackadaisical quantum walk
    Fangjie Peng, Meng Li, Xiaoming Sun · 2024 · Journal of Physics A Mathematical and Theoretical
39. A method for exact simulation of quantum dynamics
    Domenico D’Alessandro, Raffaele Romano · 2011 · Journal of Physics A Mathematical and Theoretical
40. Multi-Dimensional Random Walks and Integrable Phase Models
    N. M. Bogoliubov, Cyril Leonidovich Malyshev · 2017 · Journal of Mathematical Sciences
41. Complete characterization of mixing time for the continuous quantum walk on the hypercube with Markovian decoherence model
    Milosh Drezgich, Andrew P. Hines, Mohan Sarovar, Shankar Sastry · 2009 · Quantum Information and Computation
42. Correlation effects in a discrete quantum random walk
    J B Stang, A. T. Rezakhani · 2009
43. Transport and localization in quantum walks on a random hierarchy of barriers
    Richa Sharma, Stefan Boettcher · 2022 · Journal of Physics A Mathematical and Theoretical
44. Innovative Quantum Computing
    Steven Anatolievich Duplij, Raimund Vogl · 2023 · Institute of Physics eBooks
45. An overview of Quantum Cellular Automata
    Pablo J. Arrighi · 2019 · arXiv (Cornell University)
46. Experiments with Schrödinger Cellular Automata
    Kees van Berkel, J. de Graaf, Kees van Hee · 2025 · Quantum
47. The Hamiltonians Generating One-Dimensional Discrete-Time Quantum Walks
    Tatsuya Tate · 2013 · Interdisciplinary Information Sciences
48. Resonance transmission of one-dimensional quantum walk with phase defects
    Wang Dan-Dan, Zhi-Jian Li · 2016 · Acta Physica Sinica
49. Controllable quantum walks, gravitational constant, and Casimir energy in one-dimensional three-boson systems with on-site interactions
    Hongting Yang, Pinquan Qin · 2024 · Physical review. B./Physical review. B
50. Introduction to Quantum Walks
    Renato Portugal · 2013 · Springer eBooks
51. Controllability of system dynamics on networks, quantum walks and random walks
    Domenico D’Alessandro, Sevim Olmez · 2013 · Automatica
52. Continuous-Time Multidimensional Walks as an Integrable Model
    N. M. Bogoliubov · 2019 · Journal of Mathematical Sciences
53. The foundations of superposition and its use in quantum walks on complex networks
    Peter G. Lewis · 2014 · Spiral (Imperial College London)
54. Mass and Proper Time as Conjugated Observables
    Matteo Lugli · 2017 · arXiv (Cornell University)
55. Exact simulation of coined quantum walks with the continuous-time model
    Pascal Philipp, Renato Portugal · 2016 · arXiv (Cornell University)
56. Caminatas cuánticas: definiciones y algoritmos
    Venegas Andraca, Elías Salvador · 2008
57. At the intersection of quantum computing and quantum chemistry
    James Daniel Whitfield · 2011
58. Modal approach of photon correlations in lattices of coupled waveguides
    Christophe Minot, J. M. Moison, A. Beveratos, Isabelle Robert-Philip, Nadia Belabas · 2015 · The European Physical Journal D
59. Unveiling two-dimensional discrete quantum walks dynamics via dispersion relations
    Sergio Cantero‐Chinchilla, A. Romanelli, Eugenio Roldán, Germán J. de Valcárcel · 2011 · Conference on Lasers and Electro-Optics Europe & European Quantum Electronics Conference (CLEO/Europe-EQEC)
60. On Some Questions of C. Ampadu Associated with the Quantum Random Walk
    Clement Boateng Ampadu · 2014 · Applied Mathematics
61. A dissertation presented
    James Daniel Whiteld · 2011
62. Kevés szabadsági fokú kvantumrendszerek dinamikai tulajdonságai
    Z. Darázs · 2015 · Eötvös Loránd Tudományegyetem
63. Tuned oscillatory behavior in discrete quantum walks on star clusters
    Roberto F. S. Andrade, André M. C. Souza · 2015 · Physical Review A
64. A remark on zeta functions of finite graphs via quantum walks
    Yu. Higuchi, Norio Konno, Iwao Sato, Etsuo Segawa · 2014 · arXiv (Cornell University)
65. A Novel Bulk-Optics Scheme for Quantum Walk with High Phase Stability
    Andrea Geraldi, L. D. Bonavena, Carlo Liorni, Paolo Mataloni, Álvaro Cuevas · 2019 · arXiv (Cornell University)
66. Introduction to Quantum Simulation
    Linda Sansoni · 2014 · Springer theses
67. Theoretical Framework
    Kia Manouchehri, Jingbo B. Wang · 2013 · Springer eBooks
68. Closed-form expressions for the probability distribution of quantum walk on a line
    Mahesh N. Jayakody, Eliahu Cohen · 2023 · The European Physical Journal D
69. The spectrum of asymptotic Cayley trees
    Bergfinnur Durhuus, Thórdur Jónsson, JOHN F. WHEATER · 2024 · Journal of Physics A Mathematical and Theoretical
70. A method of approximation of discrete Schrödinger equation with the normalized Laplacian by discrete-time quantum walk on graphs
    Kei Saito, Etsuo Segawa · 2025 · Reviews in Mathematical Physics
71. Hyper-transport and superdiffusion in a non-interacting two-particle quantum walk with dynamic disorder
    Larissa F. Gonçalves, Igor Emanuel Goncalves De Oliveira, Rodrigo Caitano, LBL Moraes, Pedro Hugo de Figueirêdo, José Ferraz · 2025 · Quantum Information Processing
72. Directionality and quantum backfire in continuous-time quantum walks from delocalized states: Exact results
    Jefferson J. Ximenes, Marcelo A. Pires, J. M. Villas-Bôas · 2026 · Physical Review A
73. Non-adiabatic geometric phases in discrete time quantum walks
    Yaocheng Yang, Ching-Ray Chang · 2026 · Journal of Physics Communications
74. Complementary Continuous-Discrete Time, Chronon Layering and Temporal Folding
    Medeu Abishev, Daulet Berkimbayev · 2026 · Symmetry
75. Quantum-driven sampling of the almost-uniform distribution via quantum walks
    Marco Radaelli, Claudia Benedetti, Stefano Olivares · 2026 · New Journal of Physics
76. Marches quantiques sous champ magnétique et cages d’Aharonov-Bohm
    Hugo Perrin · 2021 · theses.fr (ABES)
77. Enhancing delocalization and entanglement in asymmetric discrete-time quantum walks
    Hao Zhao, Qiyan He, Fengzhi Yang, Cui Kong, Huiyun Cao, Tianqi Yan, Bingrui Zhong, Kaikun Tian, JIGUO WANG, Chuanjia Shan et al. · 2026 · Optics Express
78. Quantum system reliability: A phase-encoded interference framework for interdependent and interconnected systems
    Seyed Hooman Ghasemi · 2026 · Physical review. E
79. Extreme events based on quantum probability on multilayer networks with asymmetric interlayer coupling
    Xinyu Yin, Feng Zhu, Xin Xiong · 2026 · Physica A Statistical Mechanics and its Applications