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Periodicity of the Discrete-time Quantum Walk on a Finite Graph.
- Published in:
- Interdisciplinary Information Sciences, 2017, v. 23, n. 1, p. 75, doi. 10.4036/iis.2017.A.10
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- Article
The Stationary Measure for Diagonal Quantum Walk with One Defect.
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- Interdisciplinary Information Sciences, 2017, v. 23, n. 1, p. 57, doi. 10.4036/iis.2017.A.08
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- Article
Periodicity for the Hadamard Walk on Cycles.
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- Interdisciplinary Information Sciences, 2017, v. 23, n. 1, p. 1, doi. 10.4036/iis.2017.A.01
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- Article
Weak Limit Theorem of a Two-phase Quantum Walk with One Defect.
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- Interdisciplinary Information Sciences, 2016, v. 22, n. 1, p. 17, doi. 10.4036/iis.2016.R.01
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- Article
Relation between Quantum Walks with Tails and Quantum Walks with Sinks on Finite Graphs.
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- Symmetry (20738994), 2021, v. 13, n. 7, p. 1169, doi. 10.3390/sym13071169
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- Article
A Discontinuity of the Energy of Quantum Walk in Impurities.
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- Symmetry (20738994), 2021, v. 13, n. 7, p. 1134, doi. 10.3390/sym13071134
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- Article
CONTINUOUS-TIME QUANTUM WALKS ON TREES IN QUANTUM PROBABILITY THEORY.
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- Infinite Dimensional Analysis, Quantum Probability & Related Topics, 2006, v. 9, n. 2, p. 287, doi. 10.1142/S0219025706002354
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- Article
ANALYTICITY OF SURVIVAL PROBABILITY FOR CONTACT PROCESS AROUND t = 0.
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- Analysis & Applications, 2007, v. 5, n. 1, p. 67, doi. 10.1142/S0219530507000882
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- Article
Statistical Properties of a Generalized Threshold Network Model.
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- Methodology & Computing in Applied Probability, 2010, v. 12, n. 3, p. 361, doi. 10.1007/s11009-008-9111-5
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- Article
A PATH INTEGRAL APPROACH FOR DISORDERED QUANTUM WALKS IN ONE DIMENSION.
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- Fluctuation & Noise Letters, 2005, v. 5, n. 4, p. L529, doi. 10.1142/S0219477505002987
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- Article
EVOLUTION OF CONTINUOUS-TIME QUANTUM RANDOM WALKS ON CIRCLES.
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- Fluctuation & Noise Letters, 2005, v. 5, n. 1, p. L73, doi. 10.1142/S0219477505002410
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- Article
LIMIT THEOREMS FOR QUANTUM WALKS DRIVEN BY MANY COINS.
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- International Journal of Quantum Information, 2008, v. 6, n. 6, p. 1231, doi. 10.1142/S0219749908004456
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- Article
CONTINUOUS-TIME QUANTUM WALKS ON ULTRAMETRIC SPACES.
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- International Journal of Quantum Information, 2006, v. 4, n. 6, p. 1023, doi. 10.1142/S0219749906002389
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- Article
FLUCTUATIONS OF QUANTUM RANDOM WALKS ON CIRCLES.
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- International Journal of Quantum Information, 2005, v. 3, n. 3, p. 535, doi. 10.1142/S0219749905001079
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- Article
Generalized eigenfunctions for quantum walks via path counting approach.
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- Reviews in Mathematical Physics, 2021, v. 33, n. 6, p. N.PAG, doi. 10.1142/S0129055X21500197
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- Article
CORRELATION IDENTITIES FOR NEAREST-PARTICLE SYSTEMS AND THEIR APPLICATIONS TO ONE-DIMENSIONAL CONTACT PROCESS.
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- Modern Physics Letters B, 1991, v. 5, n. 2, p. 151, doi. 10.1142/S0217984991000198
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- Article
Quaternionic Grover Walks and Zeta Functions of Graphs with Loops.
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- Graphs & Combinatorics, 2017, v. 33, n. 6, p. 1419, doi. 10.1007/s00373-017-1785-4
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- Article
The Limit Theorem with Respect to the Matrices on Non-backtracking Paths of a Graph.
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- Annals of Combinatorics, 2023, v. 27, n. 2, p. 249, doi. 10.1007/s00026-022-00617-z
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- Article
Return Probability of Quantum and Correlated Random Walks.
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- Entropy, 2022, v. 24, n. 5, p. N.PAG, doi. 10.3390/e24050584
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- Article
Eigenvalues of Two-State Quantum Walks Induced by the Hadamard Walk.
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- Entropy, 2020, v. 22, n. 1, p. 127, doi. 10.3390/e22010127
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- Article
Numerical and Non-Asymptotic Analysis of Elias's and Peres's Extractors with Finite Input Sequences †.
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- Entropy, 2018, v. 20, n. 10, p. 729, doi. 10.3390/e20100729
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- Article
Localization of Discrete Time QuantumWalks on the Glued Trees.
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- Entropy, 2014, v. 16, n. 3, p. 1501, doi. 10.3390/e16031501
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- Article
Localization of the Grover Walks on Spidernets and Free Meixner Laws.
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- Communications in Mathematical Physics, 2013, v. 322, n. 3, p. 667, doi. 10.1007/s00220-013-1742-x
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- Article
Parrondo's game of quantum search based on quantum walk.
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- Quantum Information Processing, 2024, v. 23, n. 7, p. 1, doi. 10.1007/s11128-024-04459-x
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- Article
Mahler/Zeta Correspondence.
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- Quantum Information Processing, 2022, v. 21, n. 8, p. 1, doi. 10.1007/s11128-022-03644-0
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- Article
Grover/Zeta Correspondence based on the Konno–Sato theorem.
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- Quantum Information Processing, 2021, v. 20, n. 8, p. 1, doi. 10.1007/s11128-021-03214-w
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- Article
General condition of quantum teleportation by one-dimensional quantum walks.
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- Quantum Information Processing, 2021, v. 20, n. 7, p. 1, doi. 10.1007/s11128-021-03155-4
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- Article
Eigenvalues of quantum walk induced by recurrence properties of the underlying birth and death process: application to computation of an edge state.
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- Quantum Information Processing, 2021, v. 20, n. 5, p. 1, doi. 10.1007/s11128-021-02999-0
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- Article
How does Grover walk recognize the shape of crystal lattice?
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- Quantum Information Processing, 2018, v. 17, n. 7, p. 1, doi. 10.1007/s11128-018-1886-x
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- Article
Partition-based discrete-time quantum walks.
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- Quantum Information Processing, 2018, v. 17, n. 4, p. N.PAG, doi. 10.1007/s11128-017-1807-4
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- Article
The discrete-time quaternionic quantum walk on a graph.
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- Quantum Information Processing, 2016, v. 15, n. 2, p. 651, doi. 10.1007/s11128-015-1205-8
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- Article
The uniform measure for discrete-time quantum walks in one dimension.
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- Quantum Information Processing, 2014, v. 13, n. 5, p. 1103, doi. 10.1007/s11128-013-0714-6
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- Article
Limit measures of inhomogeneous discrete-time quantum walks in one dimension.
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- Quantum Information Processing, 2013, v. 12, n. 1, p. 33, doi. 10.1007/s11128-011-0353-8
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- Article
Time averaged distribution of a discrete-time quantum walk on the path.
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- Quantum Information Processing, 2012, v. 11, n. 5, p. 1207, doi. 10.1007/s11128-012-0424-5
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- Article
Sojourn times of the Hadamard walk in one dimension.
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- Quantum Information Processing, 2012, v. 11, n. 2, p. 465, doi. 10.1007/s11128-011-0265-7
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- Article
On the relation between quantum walks and zeta functions.
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- Quantum Information Processing, 2012, v. 11, n. 2, p. 341, doi. 10.1007/s11128-011-0250-1
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- Article
Localization of an inhomogeneous discrete-time quantum walk on the line.
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- Quantum Information Processing, 2010, v. 9, n. 3, p. 405, doi. 10.1007/s11128-009-0147-4
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- Article
One-dimensional discrete-time quantum walks on random environments.
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- Quantum Information Processing, 2009, v. 8, n. 5, p. 387, doi. 10.1007/s11128-009-0116-y
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- Article
PHASE DIAGRAMS AND CORRELATION INEQUALITIES OF A THREE-STATE STOCHASTIC EPIDEMIC MODEL ON THE SQUARE LATTICE.
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- International Journal of Bifurcation & Chaos in Applied Sciences & Engineering, 2006, v. 16, n. 12, p. 3687, doi. 10.1142/S0218127406017075
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- Article
A Crossover Between Open Quantum Random Walks to Quantum Walks.
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- Journal of Statistical Physics, 2023, v. 190, n. 12, p. 1, doi. 10.1007/s10955-023-03211-6
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- Article
Walk/Zeta Correspondence.
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- Journal of Statistical Physics, 2023, v. 190, n. 2, p. 1, doi. 10.1007/s10955-022-03052-9
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- Article
Stationary Measure Induced by the Eigenvalue Problem of the One-Dimensional Hadamard Walk.
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- Journal of Statistical Physics, 2022, v. 187, n. 1, p. 1, doi. 10.1007/s10955-022-02901-x
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- Article
Central Limit Theorems for Open Quantum Random Walks on the Crystal Lattices.
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- Journal of Statistical Physics, 2019, v. 176, n. 3, p. 710, doi. 10.1007/s10955-019-02318-z
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- Article
A Spectral Analysis of Discrete-Time Quantum Walks Related to the Birth and Death Chains.
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- Journal of Statistical Physics, 2018, v. 171, n. 2, p. 207, doi. 10.1007/s10955-018-1998-9
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- Article
Limit Theorems for Open Quantum Random Walks.
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- Journal of Statistical Physics, 2013, v. 150, n. 2, p. 299, doi. 10.1007/s10955-012-0668-6
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- Article