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On a gap in the proof of the generalised quantum Stein's lemma and its consequences for the reversibility of quantum resources
- Source :
- Quantum 7, 1103 (2023)
- Publication Year :
- 2022
-
Abstract
- We show that the proof of the generalised quantum Stein's lemma [Brand\~ao & Plenio, Commun. Math. Phys. 295, 791 (2010)] is not correct due to a gap in the argument leading to Lemma III.9. Hence, the main achievability result of Brand\~ao & Plenio is not known to hold. This puts into question a number of established results in the literature, in particular the reversibility of quantum entanglement [Brand\~ao & Plenio, Commun. Math. Phys. 295, 829 (2010); Nat. Phys. 4, 873 (2008)] and of general quantum resources [Brand\~ao & Gour, Phys. Rev. Lett. 115, 070503 (2015)] under asymptotically resource non-generating operations. We discuss potential ways to recover variants of the newly unsettled results using other approaches.<br />Comment: 28 pages; in v2 we added Section V.D and Section VI, and corrected several small typos; v3 is close to the published version
- Subjects :
- Quantum Physics
Mathematical Physics
Subjects
Details
- Database :
- arXiv
- Journal :
- Quantum 7, 1103 (2023)
- Publication Type :
- Report
- Accession number :
- edsarx.2205.02813
- Document Type :
- Working Paper
- Full Text :
- https://doi.org/10.22331/q-2023-09-07-1103