Semi-device-independent self-testing of unitary operations

Quantum Physics [Submitted on 21 Apr 2026] Semi-device-independent self-testing of unitary operations Rajdeep Paul, Prabuddha Roy, A. K. Pan We present a hitherto unexplored semi-device-independent (SDI) self-testing protocol designed to certify unitary operations within a variant of prepare-measure framework. We consider a communication game which we refer to as a variant of 3-bit prepare-measure random access code (PMRAC) involving two parties, Alice and Bob, who share a prior two-qubit quantum state. Alice encodes her message by applying unitary operations on her subsystem and sends it to Bob. To decode the message, Bob performs a measurement on the whole system. We demonstrate that the optimal quantum advantage of the variant of 3-bit PMRAC over the classical bound enables the self-testing of Alice's unitary operations and Bob's measurements. The derivation of the optimal quantum success probability is fully analytical. The approach is so elegant that it can be generalized for any arbitrary n-bit PMRAC and may also be extended to other prepare-measure communication games. Subjects: Quantum Physics (quant-ph) Cite as: arXiv:2604.19911 [quant-ph]   (or arXiv:2604.19911v1 [quant-ph] for this version)   https://doi.org/10.48550/arXiv.2604.19911 Focus to learn more Submission history From: Rajdeep Paul [view email] [v1] Tue, 21 Apr 2026 18:44:01 UTC (128 KB) Access Paper: view license Current browse context: quant-ph < prev   |   next > new | recent | 2026-04 References & Citations INSPIRE HEP NASA ADS Google Scholar Semantic Scholar Export BibTeX Citation Bookmark Bibliographic Tools Bibliographic and Citation Tools Bibliographic Explorer Toggle Bibliographic Explorer (What is the Explorer?) Connected Papers Toggle Connected Papers (What is Connected Papers?) Litmaps Toggle Litmaps (What is Litmaps?) scite.ai Toggle scite Smart Citations (What are Smart Citations?) Code, Data, Media Demos Related Papers About arXivLabs Which authors of this paper are endorsers? | Disable MathJax (What is MathJax?)