Decoherence in quantum walks–a review
V Kendon - Mathematical structures in computer science, 2007 - cambridge.org
The development of quantum walks in the context of quantum computation, as
generalisations of random walk techniques, has led rapidly to several new quantum …
generalisations of random walk techniques, has led rapidly to several new quantum …
Parrondo's paradox from classical to quantum: A review
Two losing games can be combined in a certain manner to give a winning outcome—this is
known as Parrondo's paradox. Parrondo's paradox has found its applications across …
known as Parrondo's paradox. Parrondo's paradox has found its applications across …
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 …
There are two classes of quantum walks, that is, the discrete-time (or coined) and the …
Paradoxical survival: examining the Parrondo effect across biology
Parrondo's paradox, in which losing strategies can be combined to produce winning
outcomes, has received much attention in mathematics and the physical sciences; a …
outcomes, has received much attention in mathematics and the physical sciences; a …
Quantum adaptive agents with efficient long-term memories
Central to the success of adaptive systems is their ability to interpret signals from their
environment and respond accordingly—they act as agents interacting with their …
environment and respond accordingly—they act as agents interacting with their …
Quantum markov chains
S Gudder - Journal of Mathematical Physics, 2008 - pubs.aip.org
A new approach to quantum Markov chains is presented. We first define a transition
operation matrix (TOM) as a matrix whose entries are completely positive maps whose …
operation matrix (TOM) as a matrix whose entries are completely positive maps whose …
Parrondo's paradox in quantum walks with deterministic aperiodic sequence of coins
Z Walczak, JH Bauer - Physical Review E, 2021 - APS
Parrondo's effect is a well-known apparent paradox where a combination of biased random
walks displays a counterintuitive reversal of the bias direction. We show that Parrondo's …
walks displays a counterintuitive reversal of the bias direction. We show that Parrondo's …
Noise-induced Parrondo's paradox in discrete-time quantum walks
Z Walczak, JH Bauer - Physical Review E, 2023 - APS
Parrondo's paradox refers to the apparently paradoxical effect whereby two or more
dynamics in which a given quantity decreases are combined in such a way that the same …
dynamics in which a given quantity decreases are combined in such a way that the same …
Parrondo's paradox in quantum walks with time-dependent coin operators
MA Pires, SMD Queirós - Physical Review E, 2020 - APS
Parrondo's paradox in quantum walks with time-dependent coin operators Page 1
PHYSICAL REVIEW E 102, 042124 (2020) Parrondo’s paradox in quantum walks with time-dependent …
PHYSICAL REVIEW E 102, 042124 (2020) Parrondo’s paradox in quantum walks with time-dependent …
Allison mixture and the two-envelope problem
In the present study, we have investigated the Allison mixture, a variant of the Parrondo's
games where random mixing of two random sequences creates autocorrelation. We have …
games where random mixing of two random sequences creates autocorrelation. We have …