scholarly journals Discrete-time quantum walks on one-dimensional lattices

2010 ◽  
Vol 77 (4) ◽  
pp. 479-488 ◽  
Author(s):  
X.-P. Xu
2018 ◽  
Vol 29 (10) ◽  
pp. 1850098 ◽  
Author(s):  
R. F. S. Andrade ◽  
A. M. C. Souza

Properties of one-dimensional discrete-time quantum walks (DTQWs) are sensitive to the presence of inhomogeneities in the substrate, which can be generated by defining position-dependent coin operators. Deterministic aperiodic sequences of two or more symbols provide ideal environments where these properties can be explored in a controlled way. Based on an exhaustive numerical study, this work discusses a two-coin model resulting from the construction rules that lead to the usual fractal Cantor set. Although the fraction of the less frequent coin [Formula: see text] as the size of the chain is increased, it leaves peculiar properties in the walker dynamics. They are characterized by the wave function, from which results for the probability distribution and its variance, as well as the entanglement entropy, were obtained. A number of results for different choices of the two coins are presented. The entanglement entropy has shown to be very sensitive to uncovering subtle quantum effects present in the model.


2019 ◽  
Vol 33 (23) ◽  
pp. 1950270 ◽  
Author(s):  
Duc Manh Nguyen ◽  
Sunghwan Kim

The recent paper entitled “Generalized teleportation by means of discrete-time quantum walks on [Formula: see text]-lines and [Formula: see text]-cycles” by Yang et al. [Mod. Phys. Lett. B 33(6) (2019) 1950069] proposed the quantum teleportation by means of discrete-time quantum walks on [Formula: see text]-lines and [Formula: see text]-cycles. However, further investigation shows that the quantum walk over the one-dimensional infinite line can be based over the [Formula: see text]-cycles and cannot be based on [Formula: see text]-lines. The proofs of our claims on quantum walks based on finite lines are also provided in detail.


2017 ◽  
Vol 96 (6) ◽  
Author(s):  
Luca Innocenti ◽  
Helena Majury ◽  
Taira Giordani ◽  
Nicolò Spagnolo ◽  
Fabio Sciarrino ◽  
...  

Author(s):  
Luca Innocenti ◽  
Helena Majury ◽  
Taira Giordani ◽  
Nicolò Spagnolo ◽  
Fabio Sciarrino ◽  
...  

2021 ◽  
Vol 104 (6) ◽  
Author(s):  
Shivani Singh ◽  
C. Huerta Alderete ◽  
Radhakrishnan Balu ◽  
Christopher Monroe ◽  
Norbert M. Linke ◽  
...  

2017 ◽  
Vol 96 (1) ◽  
Author(s):  
N. Lo Gullo ◽  
C. V. Ambarish ◽  
Th. Busch ◽  
L. Dell'Anna ◽  
C. M. Chandrashekar

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