Universal Entanglement Distillation
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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BibTeX
@misc{tirone2026universal,
title = {{Universal Entanglement Distillation}},
author = {Salvatore Tirone and Francesco Anna Mele and Vittorio Giovannetti and Ludovico Lami},
howpublished = {arXiv},
year = {2026},
month = sep,
doi = {10.48550/arxiv.2609.40080},
eprint = {2609.40080},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2609.40080},
note = {CC BY 4.0},
}
RIS
TY - UNPB
TI - Universal Entanglement Distillation
AU - Salvatore Tirone
AU - Francesco Anna Mele
AU - Vittorio Giovannetti
AU - Ludovico Lami
PY - 2026
DA - 2026/09/30
PB - arXiv
DO - 10.48550/arxiv.2609.40080
UR - https://arxiv.org/abs/2609.40080
AB - 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.
ER -