2024/11/26 by Alejandro Hnilo, Hnilo, Alejandro
Mathematics · Physics and Astronomy · #FOS: Physical sciences #Quantum Mechanics and Applications #Quantum Physics (quant-ph) #Spectral Theory in Mathematical Physics
paper · pdf · doi:10.48550/arxiv.2411.17921
openalex publication_date 2024/11/26 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/01
Several arguments demonstrate the incompatibility between Quantum Mechanics and classical Physics. Bell's inequalities and Greenberger-Horne-Zeilinger (GHZ) arguments apply to specific non-classical states. The Kochen-Specker (KS) one, instead, is especially appealing for it applies to any state. Nevertheless, in spite of the incompatibility, quantum predictions must converge to classical ones as the macroscopic scale is approached. This convergence is known as "classical limit", and is difficult to explain within quantum formalism. In this short paper, the simplified Mermin-Peres form (two qubits) of the KS argument is extended to an arbitrary number of qubits. It is shown that quantum and classical predictions converge as the number of qubits is increases to the macroscopic scale. This way to explain the classical limit concurs with, and improves, a result previously reported for GHZ states. The demonstration for the general case (i.e., for all possible observables) that the classical limit is the consequence of merely increasing the number of particles, is important and seems to be at hand.