Random logic networks: From classical Boolean to quantum dynamics

dc.contributor.author

Kluge, Lucas

dc.contributor.author

Socolar, Joshua ES

dc.contributor.author

Schöll, Eckehard

dc.date.accessioned

2022-01-05T14:13:09Z

dc.date.available

2022-01-05T14:13:09Z

dc.date.updated

2022-01-05T14:13:08Z

dc.description.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.

dc.identifier.issn

2470-0045

dc.identifier.issn

2470-0053

dc.identifier.uri

https://hdl.handle.net/10161/24190

dc.language

en

dc.publisher

American Physical Society (APS)

dc.relation.ispartof

Physical Review E

dc.relation.isversionof

10.1103/physreve.104.064308

dc.subject

quant-ph

dc.subject

quant-ph

dc.title

Random logic networks: From classical Boolean to quantum dynamics

dc.type

Journal article

duke.contributor.orcid

Socolar, Joshua ES|0000-0003-0532-7099

pubs.issue

6

pubs.organisational-group

Trinity College of Arts & Sciences

pubs.organisational-group

Physics

pubs.organisational-group

Duke

pubs.publication-status

Published online

pubs.volume

104

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