Entanglement Distillation of some Rank-Five Symmetric NPT States in Two-Qutrit Systems

Abstract:Entanglement distillation is a fundamental task in quantum information processing. In this work, we investigate the distillability properties of a class of two-qutrit symmetric NPT states of rank five. We resolve the 1-distillability problem for this class by proving that the previously open interval of the eigenvalue parameter is 1-undistillable. For the 2-distillability, we uncover a structural obstruction showing that no Schmidt-rank-two vector has a negative expectation in the relevant subspace. We also perform numerical investigations to explore the 2-distillability beyond this obstruction.

arXiv:2608.03710 [quant-ph]

(or arXiv:2608.03710v1 [quant-ph] for this version)

https://doi.org/10.48550/arXiv.2608.03710 Focus to learn more arXiv-issued DOI via DataCite (pending registration)

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