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This study demonstrates how temporal fluctuations in quantum network topology can be engineered to generate specific dissipation structures, effectively turning connectivity instability into a resource for protecting quantum states. By deriving analytically predicted dissipative gaps, the research provides a novel pathway for implementing quasi-protected dynamics through fluctuating graph ensembles. These findings advance our understanding of controlling noise and coherence in dynamic quantum architectures.
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Emergent Dissipation from Fluctuating Quantum-Network Topology

arXiv2 min read

arXiv:2610.03194v1 Announce Type: new Abstract: We investigate how dissipation can emerge in a quantum network from temporal fluctuations of the interaction topology. For a network whose graph is redrawn at short time intervals, the averaged dynamics yields a Markovian master equation: the mean network fixes the coherent part and the covariance fixes the dissipative structure. The covariance eigenvalues set the noise strengths, while its eigenvectors determine the collective operators on which those strengths act. Two ensembles with identical mean adjacency and covariance spectra but different eigenvectors produce distinct dynamics despite identical purity. A physically realizable model yields an analytically predicted dissipative gap, giving quasi-protected dynamics. These results establish fluctuating connectivity as a resource for engineering quantum dissipation and protection.

Abstract:We investigate how dissipation can emerge in a quantum network from temporal fluctuations of the interaction topology. For a network whose graph is redrawn at short time intervals, the averaged dynamics yields a Markovian master equation: the mean network fixes the coherent part and the covariance fixes the dissipative structure. The covariance eigenvalues set the noise strengths, while its eigenvectors determine the collective operators on which those strengths act. Two ensembles with identical mean adjacency and covariance spectra but different eigenvectors produce distinct dynamics despite identical purity. A physically realizable model yields an analytically predicted dissipative gap, giving quasi-protected dynamics. These results establish fluctuating connectivity as a resource for engineering quantum dissipation and protection.

arXiv:2610.03194 [quant-ph]

(or arXiv:2610.03194v1 [quant-ph] for this version)

https://doi.org/10.48550/arXiv.2610.03194 Focus to learn more arXiv-issued DOI via DataCite (pending registration)

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Full text under the publisher's open licence · 205 words

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