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PreprintCC0arXiv

A solution to 2-copy distillability of Werner states

  • Jinshi Fu
  • Li Gao
  • Sang-Jun Park
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Abstract

Entanglement distillation is a fundamental task in quantum information theory. In this work, we prove that Werner states in arbitrary dimension are $2$-copy distillable if and only if they are $1$-copy distillable. This answers the longstanding open question of the $2$-copy distillability of Werner states. This is an important step on determining whether every non-positive partial transpose (NPT) state is distillable, which remains one of the central open problems in the field of entanglement distillation.

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Cite

BibTeXRIS
BibTeX
@misc{fu2026solution,
  title = {{A solution to 2-copy distillability of Werner states}},
  author = {Jinshi Fu and Li Gao and Sang-Jun Park},
  howpublished = {arXiv},
  year = {2026},
  month = oct,
  doi = {10.48550/arxiv.2607.21367},
  eprint = {2607.21367},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2607.21367},
  note = {CC0},
}
RIS
TY  - UNPB
TI  - A solution to 2-copy distillability of Werner states
AU  - Jinshi Fu
AU  - Li Gao
AU  - Sang-Jun Park
PY  - 2026
DA  - 2026/10/05
PB  - arXiv
DO  - 10.48550/arxiv.2607.21367
UR  - https://arxiv.org/abs/2607.21367
AB  - Entanglement distillation is a fundamental task in quantum information theory. In this work, we prove that Werner states in arbitrary dimension are $2$-copy distillable if and only if they are $1$-copy distillable. This answers the longstanding open question of the $2$-copy distillability of Werner states. This is an important step on determining whether every non-positive partial transpose (NPT) state is distillable, which remains one of the central open problems in the field of entanglement distillation.
ER  -