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Random logic networks: From classical Boolean to quantum dynamics.

Publication ,  Journal Article
Kluge, L; Socolar, JES; Schöll, E
Published in: Physical review. E
December 2021

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 nonclassical mechanism for perturbation propagation leads to substantially different evolution of the Hamming distance between the original and perturbed states.

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Published In

Physical review. E

DOI

EISSN

2470-0053

ISSN

2470-0045

Publication Date

December 2021

Volume

104

Issue

6-1

Start / End Page

064308

Related Subject Headings

  • 51 Physical sciences
  • 49 Mathematical sciences
  • 40 Engineering
 

Citation

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Kluge, L., Socolar, J. E. S., & Schöll, E. (2021). Random logic networks: From classical Boolean to quantum dynamics. Physical Review. E, 104(6–1), 064308. https://doi.org/10.1103/physreve.104.064308
Kluge, Lucas, Joshua E. S. Socolar, and Eckehard Schöll. “Random logic networks: From classical Boolean to quantum dynamics.Physical Review. E 104, no. 6–1 (December 2021): 064308. https://doi.org/10.1103/physreve.104.064308.
Kluge L, Socolar JES, Schöll E. Random logic networks: From classical Boolean to quantum dynamics. Physical review E. 2021 Dec;104(6–1):064308.
Kluge, Lucas, et al. “Random logic networks: From classical Boolean to quantum dynamics.Physical Review. E, vol. 104, no. 6–1, Dec. 2021, p. 064308. Epmc, doi:10.1103/physreve.104.064308.
Kluge L, Socolar JES, Schöll E. Random logic networks: From classical Boolean to quantum dynamics. Physical review E. 2021 Dec;104(6–1):064308.

Published In

Physical review. E

DOI

EISSN

2470-0053

ISSN

2470-0045

Publication Date

December 2021

Volume

104

Issue

6-1

Start / End Page

064308

Related Subject Headings

  • 51 Physical sciences
  • 49 Mathematical sciences
  • 40 Engineering