English
 
Privacy Policy Disclaimer
  Advanced SearchBrowse

Item

ITEM ACTIONSEXPORT

Released

Journal Article

Random logic networks: From classical Boolean to quantum dynamics

Authors
/persons/resource/Lucas.Kluge

Kluge,  Lucas
Potsdam Institute for Climate Impact Research;

Socolar,  Joshua E. S.
External Organizations;

/persons/resource/eckehard.schoell

Schöll,  Eckehard
Potsdam Institute for Climate Impact Research;

External Resource
No external resources are shared
Fulltext (restricted access)
There are currently no full texts shared for your IP range.
Fulltext (public)

26495.pdf
(Publisher version), 2MB

Supplementary Material (public)
There is no public supplementary material available
Citation

Kluge, L., Socolar, J. E. S., Schöll, E. (2021): Random logic networks: From classical Boolean to quantum dynamics. - Physical Review E, 104, 6, 064308.
https://doi.org/10.1103/PhysRevE.104.064308


Cite as: https://publications.pik-potsdam.de/pubman/item/item_26495
Abstract
We investigate dynamical properties of a quantum generalization of classical
reversible Boolean networks. The state of each node is encoded as a single
qubit, and classical Boolean logic operations are supplemented by controlled
bit-flip and Hadamard operations. We consider synchronous updating schemes in
which each qubit is updated at each step based on stored values of the qubits
from the previous step. We investigate the periodic or quasiperiodic behavior
of quantum networks, and we analyze the propagation of single site
perturbations through the quantum networks with input degree one. A
non-classical mechanism for perturbation propagation leads to substantially
different evolution of the Hamming distance between the original and perturbed
states.