Quantum walk and its application domains: A systematic review

K Kadian, S Garhwal, A Kumar - Computer Science Review, 2021 - Elsevier
Quantum random walk is the quantum counterpart of a classical random walk. The classical
random walk concept has long been used as a computational framework for designing …

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 …

Quantum walks

N Konno - Lecture notes in mathematics, 2008 - Springer
Quantum walks can be considered as a generalized version of the classical random walk.
There are two classes of quantum walks, that is, the discrete-time (or coined) and the …

Entropy analysis of the discrete-time quantum walk under bit-flip noise channel

NI Ishak, SV Muniandy, WY Chong - Physica A: Statistical Mechanics and …, 2021 - Elsevier
We study the behavior of tunable one-dimensional discrete-time quantum walk (DTQW) in
the presence of decoherence modeled by the flip-bit noise channel. By varying the noise …

[图书][B] Quantum walks for computer scientists

S Venegas-Andraca - 2022 - books.google.com
Quantum computation, one of the latest joint ventures between physics and the theory of
computation, is a scientific field whose main goals include the development of hardware and …

Optimizing the discrete time quantum walk using a SU (2) coin

CM Chandrashekar, R Srikanth, R Laflamme - Physical Review A—Atomic …, 2008 - APS
We present a generalized version of the discrete time quantum walk, using the SU (2)
operation as the quantum coin. By varying the coin parameters, the quantum walk can be …

[图书][B] Open quantum systems

S Banerjee, S Banerjee, Ahmad - 2018 - Springer
Open quantum systems is the study of quantum dynamics of the system of interest, taking
into account the effects of the ambient environment. It is ubiquitous in the sense that any …

Asymptotic evolution of quantum walks with random coin

A Ahlbrecht, H Vogts, AH Werner… - Journal of Mathematical …, 2011 - pubs.aip.org
We study the asymptotic position distribution of general quantum walks on a lattice,
including walks with a random coin, which is chosen from step to step by a general Markov …

Temporal self-similarity of quantum dynamical maps as a concept of memorylessness

S Utagi, R Srikanth, S Banerjee - Scientific Reports, 2020 - nature.com
The problem of defining quantum non-Markovianity has proven elusive, with various in-
equivalent criteria put forth to address it. The concept of CP-indivisibility and the hierarchy of …

Non-Markovian evolution: a quantum walk perspective

NP Kumar, S Banerjee, R Srikanth… - Open Systems & …, 2018 - World Scientific
Quantum non-Markovianity of a quantum noisy channel is typically identified with
information backflow or, more generally, with departure of the intermediate map from …