[01]Connectivity Engineering: Deterministic Geometric Decoupling and Internal Entanglement Dynamics

Wenjun Luo

Published Oct 22, 2026• 0 citations

Abstract

In ordinary nearest-neighbor connected networks, local perturbations usually spread globally. This paper proposes a purely geometric scheme: by reconstructing the topology with a fixed step length k, the system decomposes into g disconnected periodic ring components when g = gcd(L, k). When ε = 0 and operators are taken from different components, the cross-component out-of-time-order correlator (OTOC) is strictly zero, down to machine precision. At numerically accessible system sizes, the saturated entanglement entropy averaged over random product states within components grows approximately linearly and approaches the half-chain Page value upper bound. Introducing a very weak single-boundary coupling, the cross-component OTOC leakage is consistent with the ε² scaling law in a finite early-time window. This mechanism requires no complex quantum error correction or strong disorder, providing a testable deterministic wiring principle for crosstalk isolation in quantum chips.

DOI: 10.5281/zenodo.23564910

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