All pure bipartite entangled states can be self-tested
Abstract
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.
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 http://creativecommons.org/licenses/by/4.0/ 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.Attached Files
Published - ncomms15485.pdf
Submitted - 1611.08062
Supplemental Material - ncomms15485-s1.pdf
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Additional details
- PMCID
- PMC5458560
- Eprint ID
- 77831
- Resolver ID
- CaltechAUTHORS:20170530-124107462
- MOE2012-T3-1-009
- Ministry of Education (Singapore)
- National Research Fund (Singapore)
- FA9550-16-1-0495
- Air Force Office of Scientific Research (AFOSR)
- Created
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2017-05-30Created from EPrint's datestamp field
- Updated
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2022-03-25Created from EPrint's last_modified field