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 (Unpublished) https://resolver.caltech.edu/CaltechAUTHORS:20220804-201336824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.
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| 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 | ||||||||||||||||
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| 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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