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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

Berta, Mario and Brandão, Fernando G. S. L. and Gour, Gilad and Lami, Ludovico and Plenio, Martin B. and Regula, Bartosz and Tomamichel, Marco (2022) On a gap in the proof of the generalised quantum Stein's lemma and its consequences for the reversibility of quantum resources. . (Unpublished) https://resolver.caltech.edu/CaltechAUTHORS:20220804-201336824

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Abstract

We show that the proof of the generalised quantum Stein's lemma [Brandão & 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 Brandão & 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 [Brandão & Plenio, Commun. Math. Phys. 295, 829 (2010); Nat. Phys. 4, 873 (2008)] and of general quantum resources [Brandão & 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.


Item Type:Report or Paper (Discussion Paper)
Related URLs:
URLURL TypeDescription
http://arxiv.org/abs/2205.02813arXivDiscussion Paper
ORCID:
AuthorORCID
Berta, Mario0000-0002-0428-3429
Brandão, Fernando G. S. L.0000-0003-3866-9378
Gour, Gilad0000-0002-4892-4072
Lami, Ludovico0000-0003-3290-3557
Plenio, Martin B.0000-0003-4238-8843
Regula, Bartosz0000-0001-7225-071X
Tomamichel, Marco0000-0001-5410-3329
Additional Information:LL is financially supported by the Alexander von Humboldt Foundation. GG is supported by Natural Sciences and Engineering Research Council of Canada (NSERC). BR is supported by the Japan Society for the Promotion of Science (JSPS) KAKENHI Grant No. 21F21015 and the JSPS Postdoctoral Fellowship for Research in Japan. MT is funded by the National Research Foundation, Prime Minister’s Office, Singapore and the Ministry of Education, Singapore under the Research Centres of Excellence programme, as well as startup grants (R-263-000-E32-133 and R-263-000-E32-731).
Group:AWS Center for Quantum Computing, Institute for Quantum Information and Matter
Funders:
Funding AgencyGrant Number
Alexander von Humboldt FoundationUNSPECIFIED
Natural Sciences and Engineering Research Council of Canada (NSERC)UNSPECIFIED
Japan Society for the Promotion of Science (JSPS)21F21015
National Research Foundation (Singapore)UNSPECIFIED
Ministry of Education (Singapore)UNSPECIFIED
National University of SingaporeR-263-000-E32-133
National University of SingaporeR-263-000-E32-731
Record Number:CaltechAUTHORS:20220804-201336824
Persistent URL:https://resolver.caltech.edu/CaltechAUTHORS:20220804-201336824
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:116139
Collection:CaltechAUTHORS
Deposited By: George Porter
Deposited On:09 Aug 2022 15:17
Last Modified:09 Aug 2022 15:17

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