Journal article
All real projective measurements can be self-tested
Nature physics
01 Aug 2024
Abstract
Abstract Entangled quantum systems feature non-local correlations that are stronger than could be realized classically. This property makes it possible to perform self-testing, the strongest form of quantum functionality verification, which allows a classical user to deduce the quantum state and measurements used to produce a given set of measurement statistics. While self-testing of quantum states is well understood, self-testing of measurements, especially in high dimensions, remains relatively unexplored. Here we prove that every real projective measurement can be self-tested. Our approach employs the idea that existing self-tests can be extended to verify additional untrusted measurements, known as post-hoc self-testing. We formalize the method of post-hoc self-testing and establish the condition under which it can be applied. Using this condition, we construct self-tests for all real projective measurements. We build on this result to develop an iterative self-testing technique that provides a clear methodology for constructing new self-tests from pre-existing ones.
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Details
- Title
- All real projective measurements can be self-tested
- Creators
- Ranyiliu ChenLaura MančinskaJurij Volčič
- Publication Details
- Nature physics
- Publisher
- Nature
- Number of pages
- 7
- Grant note
- Villum Fonden (Villum Foundation): 101078107, 101017733 European Research Council: 10059, 37532 VILLUM FONDEN via QMATH Centre of Excellence: DMS-1954709, DMS-2348720
This work is funded by the European Research Council under grant agreement number 101078107 (QInteract) (L.M.), QuantERA project under grant agreement number 101017733 (VERIqTAS) (R.C. and L.M.), VILLUM FONDEN via QMATH Centre of Excellence grant number 10059 (R.C., L.M. and J.V.), Villum Young Investigator grant number 37532 (R.C., L.M. and J.V.) and NSF grant number DMS-1954709, DMS-2348720 (J.V.).DAS:This work does not have any associated data.
- Resource Type
- Journal article
- Language
- English
- Academic Unit
- Mathematics
- Web of Science ID
- WOS:001282065200001
- Scopus ID
- 2-s2.0-85200220264
- Other Identifier
- 991021895743604721
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- Collaboration types
- Domestic collaboration
- International collaboration
- Web of Science research areas
- Physics, Multidisciplinary