Photonic quantum walks with four-dimensional coins
L Lorz, E Meyer-Scott, T Nitsche, V Potoček… - Physical Review …, 2019 - APS
The dimensionality of the internal coin space of discrete-time quantum walks has a strong
impact on the complexity and richness of the dynamics of quantum walkers. While two …
impact on the complexity and richness of the dynamics of quantum walkers. While two …
Limit distributions of three-state quantum walks: the role of coin eigenstates
We analyze two families of three-state quantum walks which show the localization effect. We
focus on the role of the initial coin state and its coherence in controlling the properties of the …
focus on the role of the initial coin state and its coherence in controlling the properties of the …
Limit theorems of a 3-state quantum walk and its application for discrete uniform measures
T Machida - ar** to transport
We present an alternative definition of discrete-time coined quantum walks convenient for
capturing a rather broad spectrum of a walker's behavior on arbitrary graphs. It includes and …
capturing a rather broad spectrum of a walker's behavior on arbitrary graphs. It includes and …
[HTML][HTML] Periodicity of lively quantum walks on cycles with generalized Grover coin
In this paper we extend the study of three state lively quantum walks on cycles by
considering the coin operator as linear sum of permutation matrices, which is a …
considering the coin operator as linear sum of permutation matrices, which is a …
Key graph properties affecting transport efficiency of flip-flop Grover percolated quantum walks
Quantum walks exhibit properties without classical analogues. One of those is the
phenomenon of asymptotic trap**—there can be nonzero probability of the quantum …
phenomenon of asymptotic trap**—there can be nonzero probability of the quantum …
Localization and limit laws of a three-state alternate quantum walk on a two-dimensional lattice
T Machida, CM Chandrashekar - Physical Review A, 2015 - APS
A two-dimensional discrete-time quantum walk (DTQW) can be realized by alternating a two-
state DTQW in one spatial dimension followed by an evolution in the other dimension. This …
state DTQW in one spatial dimension followed by an evolution in the other dimension. This …
Percolation assisted excitation transport in discrete-time quantum walks
Coherent transport of excitations along chains of coupled quantum systems represents an
interesting problem with a number of applications ranging from quantum optics to solar cell …
interesting problem with a number of applications ranging from quantum optics to solar cell …
Complete classification of trap** coins for quantum walks on the two-dimensional square lattice
One of the unique features of discrete-time quantum walks is called trap**, meaning the
inability of the quantum walker to completely escape from its initial position, although the …
inability of the quantum walker to completely escape from its initial position, although the …
One-dimensional three-state quantum walk with single-point phase defects
YZ Xu, GD Guo, S Lin - International Journal of Theoretical Physics, 2016 - Springer
In this paper, we study a three-state quantum walk with a phase defect at a designated
position. The coin operator is a parametrization of the eigenvectors of the Grover matrix. We …
position. The coin operator is a parametrization of the eigenvectors of the Grover matrix. We …