Light-Cone Structure of Propagation of Entanglement

Abstract:For a wide class of bipartite systems with localized couplings, we establish existence of an effective light-cone for propagation of entanglement. This result yields a hard lower bound on the time it takes, under ideal conditions (no loss, no decoherence), to transport entanglement to a distant location (say, a node of a graph-structured quantum network), or to maintain it there.

Quantum Physics (quant-ph); Mathematical Physics (math-ph); Functional Analysis (math.FA)

arXiv:2604.27170 [quant-ph]

(or arXiv:2604.27170v2 [quant-ph] for this version)

https://doi.org/10.48550/arXiv.2604.27170 Focus to learn more arXiv-issued DOI via DataCite

arXivLabs is a framework that allows collaborators to develop and share new arXiv features directly on our website.

Both individuals and organizations that work with arXivLabs have embraced and accepted our values of openness, community, excellence, and user data privacy. arXiv is committed to these values and only works with partners that adhere to them.

Have an idea for a project that will add value for arXiv's community? Learn more about arXivLabs.