On a gap in the proof of the generalised quantum Stein's lemma and its consequences for the reversibility of quantum resources

被引：23

作者：

Berta, Mario ^{[1
,2
]}

Brandao, Fernando G. S. L. ^{[3
,4
]}

Gour, Gilad ^{[5
]}

Lami, Ludovico ^{[6
,7
,8
,9
,10
]}

Plenio, Martin B. ^{[6
,7
]}

Regula, Bartosz ^{[1
,11
,12
,13
]}

Tomamichel, Marco ^{[1
,2
,3
,14
,15
]}

机构：

[1] Rhein Westfal TH Aachen, Inst Quantum Informat, Aachen, Germany

[2] Imperial Coll London, Dept Comp, London, England

[3] CALTECH, Inst Quantum Informat & Matter, Pasadena, CA USA

[4] AWS Ctr Quantum Comp, Pasadena, CA USA

[5] Univ Calgary, Inst Quantum Sci & Technol, Dept Math & Stat, Calgary, AB T2N 1N4, Canada

[6] Univ Ulm, Inst Theoret Phys, Albert Einstein Allee 11, D-89069 Ulm, Germany

[7] Univ Ulm, IQST, Albert Einstein Allee 11, D-89069 Ulm, Germany

[8] QuSoft, Sci Pk 123, NL-1098 XG Amsterdam, Netherlands

[9] Univ Amsterdam, Korteweg de Vries Inst Math, Sci Pk 105-107, NL-1098 XG Amsterdam, Netherlands

[10] Univ Amsterdam, Inst Theoret Phys, Sci Pk 904, NL-1098 XH Amsterdam, Netherlands

[11] RIKEN Cluster Pioneering Res, Math Quantum Informat RIKEN Hakubi Res Team, Wako, Saitama 3510198, Japan

[12] RIKEN Ctr Quantum Comp RQC, Wako, Saitama 3510198, Japan

[13] Univ Tokyo, Grad Sch Sci, Dept Phys, Bunkyo Ku, Tokyo 1130033, Japan

[14] Natl Univ Singapore, Ctr Quantum Technol, Singapore, Singapore

[15] Natl Univ Singapore, Coll Design & Engn, Dept Elect & Comp Engn, Singapore, Singapore

来源：

QUANTUM | 2023年 / 7卷

基金：

新加坡国家研究基金会; 欧洲研究理事会; 日本学术振兴会; 加拿大自然科学与工程研究理事会;

关键词：

RELATIVE ENTROPY; SQUASHED ENTANGLEMENT; STRONG CONVERSE; CAPACITY; DISTILLATION; PURIFICATION; CONTINUITY; CHANNEL; STATES; RATES;

D O I：

10.22331/q-2023-09-07-1103

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

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

引用

页数：29

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