All real projective measurements can be self-tested
Publikation: Bidrag til tidsskrift › Tidsskriftartikel › Forskning › fagfællebedømt
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.
Originalsprog | Engelsk |
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Tidsskrift | Nature Physics |
ISSN | 1745-2473 |
DOI | |
Status | E-pub ahead of print - 2024 |
Bibliografisk note
Funding Information:
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.).
Publisher Copyright:
© The Author(s) 2024.
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