A Caltech Library Service

All pure bipartite entangled states can be self-tested

Coladangelo, Andrea and Goh, Koon Tong and Scarani, Valerio (2017) All pure bipartite entangled states can be self-tested. Nature Communications, 8 . Art. No. 15485. ISSN 2041-1723. PMCID PMC5458560. doi:10.1038/ncomms15485.

[img] PDF - Published Version
Creative Commons Attribution.

[img] PDF - Supplemental Material
Creative Commons Attribution.

[img] PDF - Submitted Version
See Usage Policy.


Use this Persistent URL to link to this item:


Quantum technologies promise advantages over their classical counterparts in the fields of computation, security and sensing. It is thus desirable that classical users are able to obtain guarantees on quantum devices, even without any knowledge of their inner workings. That such classical certification is possible at all is remarkable: it is a consequence of the violation of Bell inequalities by entangled quantum systems. Device-independent self-testing refers to the most complete such certification: it enables a classical user to uniquely identify the quantum state shared by uncharacterized devices by simply inspecting the correlations of measurement outcomes. Self-testing was first demonstrated for the singlet state and a few other examples of self-testable states were reported in recent years. Here, we address the long-standing open question of whether every pure bipartite entangled state is self-testable. We answer it affirmatively by providing explicit self-testing correlations for all such states.

Item Type:Article
Related URLs:
URLURL TypeDescription Paper CentralArticle
Coladangelo, Andrea0000-0002-6773-2711
Additional Information:© 2017 The Authors. This work is licensed under a Creative Commons Attribution 4.0 International License. The images or other third party material in this article are included in the article’s Creative Commons license, unless indicated otherwise in the credit line; if the material is not included under the Creative Commons license, users will need to obtain permission from the license holder to reproduce the material. To view a copy of this license, visit Received: 13 December 2016. Accepted: 31 March 2017. Published online: 26 May 2017. We thank Matthew McKague and Thomas Vidick for comments on earlier drafts, and acknowledge discussions with them as well as with Miguel Navascués and Xingyao Wu. This research is supported by the Singapore Ministry of Education Academic Research Fund Tier 3 (Grant No. MOE2012-T3-1-009); by the National Research Fund and the Ministry of Education, Singapore, under the Research Centres of Excellence programme. A.C. is supported by AFOSR YIP award number FA9550-16-1-0495. Author Contributions: All the authors contributed to all aspects of this work. The authors declare no competing financial interests.
Funding AgencyGrant Number
Ministry of Education (Singapore)MOE2012-T3-1-009
National Research Fund (Singapore)UNSPECIFIED
Air Force Office of Scientific Research (AFOSR)FA9550-16-1-0495
PubMed Central ID:PMC5458560
Record Number:CaltechAUTHORS:20170530-124107462
Persistent URL:
Official Citation:Coladangelo, A. et al. All pure bipartite entangled states can be self-tested. Nat. Commun. 8, 15485 doi: 10.1038/ncomms15485 (2017).
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:77831
Deposited By: George Porter
Deposited On:30 May 2017 20:11
Last Modified:25 Mar 2022 23:19

Repository Staff Only: item control page