On a gap in the proof of the generalised quantum Stein's lemma and its consequences for the reversibility of quantum resources
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 ques...
| Main Authors: | , , , , , , |
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| Format: | Article |
| Language: | English |
| Published: |
Verein zur Förderung des Open Access Publizierens in den Quantenwissenschaften
2023-09-01
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| Series: | Quantum |
| Online Access: | https://quantum-journal.org/papers/q-2023-09-07-1103/pdf/ |
| _version_ | 1827822101662269440 |
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| author | Mario Berta Fernando G. S. L. Brandão Gilad Gour Ludovico Lami Martin B. Plenio Bartosz Regula Marco Tomamichel |
| author_facet | Mario Berta Fernando G. S. L. Brandão Gilad Gour Ludovico Lami Martin B. Plenio Bartosz Regula Marco Tomamichel |
| author_sort | Mario Berta |
| collection | DOAJ |
| description | 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. |
| first_indexed | 2024-03-12T01:52:23Z |
| format | Article |
| id | doaj.art-7c9e4036238b4968888cc6931cc48ca5 |
| institution | Directory Open Access Journal |
| issn | 2521-327X |
| language | English |
| last_indexed | 2024-03-12T01:52:23Z |
| publishDate | 2023-09-01 |
| publisher | Verein zur Förderung des Open Access Publizierens in den Quantenwissenschaften |
| record_format | Article |
| series | Quantum |
| spelling | doaj.art-7c9e4036238b4968888cc6931cc48ca52023-09-08T09:09:05ZengVerein zur Förderung des Open Access Publizierens in den QuantenwissenschaftenQuantum2521-327X2023-09-017110310.22331/q-2023-09-07-110310.22331/q-2023-09-07-1103On a gap in the proof of the generalised quantum Stein's lemma and its consequences for the reversibility of quantum resourcesMario BertaFernando G. S. L. BrandãoGilad GourLudovico LamiMartin B. PlenioBartosz RegulaMarco TomamichelWe 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.https://quantum-journal.org/papers/q-2023-09-07-1103/pdf/ |
| spellingShingle | Mario Berta Fernando G. S. L. Brandão Gilad Gour Ludovico Lami Martin B. Plenio Bartosz Regula Marco Tomamichel On a gap in the proof of the generalised quantum Stein's lemma and its consequences for the reversibility of quantum resources Quantum |
| title | On a gap in the proof of the generalised quantum Stein's lemma and its consequences for the reversibility of quantum resources |
| title_full | On a gap in the proof of the generalised quantum Stein's lemma and its consequences for the reversibility of quantum resources |
| title_fullStr | On a gap in the proof of the generalised quantum Stein's lemma and its consequences for the reversibility of quantum resources |
| title_full_unstemmed | On a gap in the proof of the generalised quantum Stein's lemma and its consequences for the reversibility of quantum resources |
| title_short | On a gap in the proof of the generalised quantum Stein's lemma and its consequences for the reversibility of quantum resources |
| title_sort | on a gap in the proof of the generalised quantum stein s lemma and its consequences for the reversibility of quantum resources |
| url | https://quantum-journal.org/papers/q-2023-09-07-1103/pdf/ |
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