Enhanced quantum violation of a non-contextual inequality and witnessing quantum dimension

Quantum Physics [Submitted on 27 Mar 2026] Enhanced quantum violation of a non-contextual inequality and witnessing quantum dimension Ritwija Roy, Anindya Biswas We consider a non-contextual inequality in the sequential measurement scenario and derive the optimal quantum violation of it without assuming the dimension of the system. Since the measurement is dichotomic and the dimension of the quantum system is arbitrary, we formulate the concept of degeneracy-breaking (DB) measurement depending on how many projectors are being used in the sequential measurement. We demonstrate that by increasing the number of projectors involved in the sequential measurement (thereby making the measurement more degeneracy breaking) the quantum violation of non-contextual inequality can be enhanced and can even reach up to its algebraic maximum. We demonstrate that the optimal quantum violations for different number of projectors serves as a quantum dimension witness. Subjects: Quantum Physics (quant-ph) Cite as: arXiv:2603.26102 [quant-ph]   (or arXiv:2603.26102v1 [quant-ph] for this version)   https://doi.org/10.48550/arXiv.2603.26102 Focus to learn more Submission history From: Anindya Biswas [view email] [v1] Fri, 27 Mar 2026 06:17:41 UTC (12 KB) Access Paper: HTML (experimental) view license Current browse context: quant-ph < prev   |   next > new | recent | 2026-03 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?)