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Journal Article

Random logic networks: From classical Boolean to quantum dynamics


Kluge,  Lucas
Potsdam Institute for Climate Impact Research;

Socolar,  Joshua E. S.
External Organizations;


Schöll,  Eckehard
Potsdam Institute for Climate Impact Research;

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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, 064308.

Cite as: https://publications.pik-potsdam.de/pubman/item/item_26495
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.