2025/01/06 by Jianqi Sheng, Sheng, Jianqi, Dongkai Zhang +3
Physics and Astronomy · #Advanced Thermodynamics and Statistical Mechanics #FOS: Physical sciences #Optics (physics.optics) #Quantum Mechanics and Applications #Quantum Physics (quant-ph) #Relativity and Gravitational Theory
paper · pdf · doi:10.48550/arxiv.2501.03109
openalex publication_date 2025/01/06 · openalex created_date 2025/01/08 · openalex updated_date 2026/07/28
The completeness of quantum mechanics in predictive power is a central question in its foundational study. While most investigations focus on two-dimensional systems, high-dimensional systems are more general and widely applicable. Building on the non-extensibility theorem by Colbeck and Renner [Phys. Rev. Lett. 101, 050403 (2008)], which established that no higher theory can enhance the predictive power of quantum mechanics for two-dimensional systems, we extend this result to arbitrarily dimensional systems. We connect maximum potential predictive power achievable by any alternative theory to experimentally observable correlations, and establish optimal experimental bounds across varying dimensions by exploiting two-photon orbital angular momentum entangled states with entanglement concentration. These bounds falsify a broader class of alternative theories, including Bell's and Leggett's models, and those that remain theoretically ambiguous or experimentally unverified. Our findings not only deepen the foundational understanding of quantum mechanics but also hold significant potential for high-dimensional quantum cryptography.