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arXiv · 2609.40080

Universal Entanglement Distillation

Salvatore Tirone·Francesco Anna Mele·Vittorio Giovannetti·Ludovico Lami
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Abstract

We present a universal entanglement distillation protocol that asymptotically achieves the distillable entanglement of any unknown bipartite state in a fixed finite dimension. That is, its ebit yield attains every rate below the optimum that would be available if the state were known, with vanishing trace-distance error. Our approach combines tomography by local operations and classical communication with an adaptive distillation routine, using a local robustness lemma to control finite-sample estimation errors. We also characterize worst-case distillation from a family of states: the optimal uniform rate is the minimum distillable entanglement on the family's closure. These results show that ignorance of the state need not incur an asymptotic rate penalty.

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Salvatore Tirone, Francesco Anna Mele, Vittorio Giovannetti, Ludovico Lami. 2026-09-30. Universal Entanglement Distillation. https://arxiv.org/abs/2609.40080

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