Quantum walks: a comprehensive review
SE Venegas-Andraca - Quantum Information Processing, 2012 - Springer
Quantum walks, the quantum mechanical counterpart of classical random walks, is an
advanced tool for building quantum algorithms that has been recently shown to constitute a …
advanced tool for building quantum algorithms that has been recently shown to constitute a …
From discrete time quantum walk to continuous time quantum walk in limit distribution
Y Shikano - Journal of Computational and Theoretical …, 2013 - ingentaconnect.com
The discrete time quantum walk defined as a quantum-mechanical analogue of the discrete
time random walk have recently been attracted from various and interdisciplinary fields. In …
time random walk have recently been attracted from various and interdisciplinary fields. In …
Experimental quantum-walk revival with a time-dependent coin
We demonstrate a quantum walk with time-dependent coin bias. With this technique we
realize an experimental single-photon one-dimensional quantum walk with a linearly …
realize an experimental single-photon one-dimensional quantum walk with a linearly …
Localization and fractality in inhomogeneous quantum walks with self-duality
We introduce and study a class of discrete-time quantum walks on a one-dimensional lattice.
In contrast to the standard homogeneous quantum walks, coin operators are …
In contrast to the standard homogeneous quantum walks, coin operators are …
[HTML][HTML] Spectral and asymptotic properties of Grover walks on crystal lattices
Y Higuchi, N Konno, I Sato, E Segawa - Journal of Functional Analysis, 2014 - Elsevier
We propose a twisted Szegedy walk for estimating the limit behavior of a discrete-time
quantum walk on a crystal lattice, an infinite abelian covering graph, whose notion was …
quantum walk on a crystal lattice, an infinite abelian covering graph, whose notion was …
[PDF][PDF] Localization of an inhomogeneous discrete-time quantum walk on the line
N Konno - arxiv preprint arxiv:0908.2213, 2009 - arxiv.org
arxiv:0908.2213v4 [quant-ph] 11 May 2010 Page 1 arxiv:0908.2213v4 [quant-ph] 11 May
2010 Localization of an inhomogeneous discrete-time quantum walk on the line Norio Konno …
2010 Localization of an inhomogeneous discrete-time quantum walk on the line Norio Konno …
Unmonitored and monitored recurrence in single-photon quantum walks
XX Chen, YJ Wang, AN Zhang, Z Meng, QY Wu… - Physical Review A, 2024 - APS
Recurrence is an interesting property that describes whether the walker will eventually
return to the origin on infinite lattices in classical random walks. Since measurement …
return to the origin on infinite lattices in classical random walks. Since measurement …
Quantum walks: The first detected passage time problem
Even after decades of research, the problem of first passage time statistics for quantum
dynamics remains a challenging topic of fundamental and practical importance. Using a …
dynamics remains a challenging topic of fundamental and practical importance. Using a …
Mimicking the Probability Distribution of a Two-Dimensional Grover Walk<? format?> with a Single-Qubit Coin
The nonlocalized case of the spatial density probability of the two-dimensional Grover walk
can be obtained using only a two-dimensional coin space and a quantum walk in alternate …
can be obtained using only a two-dimensional coin space and a quantum walk in alternate …
Matrix‐valued Szegő polynomials and quantum random walks
MJ Cantero, L Moral, FA Grünbaum… - … on Pure and Applied …, 2010 - Wiley Online Library
We consider quantum random walks (QRW) on the integers, a subject that has been
considered in the last few years in the framework of quantum computation. We show how the …
considered in the last few years in the framework of quantum computation. We show how the …