Tight Global Bound on Pairwise Entanglement of Formation in Three-Qubit Systems

Abstract:We derive a global bound on the sum of pairwise squared entanglement of formation in three-qubit systems. The bound is tight and can be saturated by states containing a maximally entangled bipartite pair with an uncorrelated third qubit. Moreover, using this relation, we can map the three bipartite entanglements to three coordinates, such that any three-qubit state corresponds to a point in three-dimensional space, thereby endowing this global inequality with a very natural geometric picture. Accordingly, the dynamical evolution can be interpreted as trajectories in this geometric space; we select representative initial states and investigate the dynamical behavior of the three pairwise entanglements under various Markovian noise models.

arXiv:2608.29707 [quant-ph]

(or arXiv:2608.29707v1 [quant-ph] for this version)

https://doi.org/10.48550/arXiv.2608.29707 Focus to learn more arXiv-issued DOI via DataCite (pending registration)

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.