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  Random logic networks: From classical Boolean to quantum dynamics

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

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 Creators:
Kluge, Lucas1, Author           
Socolar, Joshua E. S.2, Author
Schöll, Eckehard1, Author           
Affiliations:
1Potsdam Institute for Climate Impact Research, Potsdam, ou_persistent13              
2External Organizations, ou_persistent22              

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Free keywords: Quantum Physics, quant-ph
 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.

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Language(s): eng - English
 Dates: 2021-08-242021-08-242021-12-282021-12
 Publication Status: Finally published
 Pages: 10
 Publishing info: -
 Table of Contents: -
 Rev. Type: Peer
 Identifiers: arXiv: 2108.10813
MDB-ID: No data to archive
PIKDOMAIN: RD4 - Complexity Science
PIKDOMAIN: RD3 - Transformation Pathways
Research topic keyword: Complex Networks
Research topic keyword: Nonlinear Dynamics
Model / method: Quantitative Methods
DOI: 10.1103/PhysRevE.104.064308
OATYPE: Green Open Access
 Degree: -

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Title: Physical Review E
Source Genre: Journal, SCI, Scopus, p3
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Pages: - Volume / Issue: 104 (6) Sequence Number: 064308 Start / End Page: - Identifier: CoNE: https://publications.pik-potsdam.de/cone/journals/resource/150218
Publisher: American Physical Society (APS)