arXiv:2512.00497

On the EPR paradox in systems with finite number of levels

Henryk Gzyl

quant-phSubmitted Nov 29, 2025• Announced Dec 2, 2025• 0 citations

Abstract

In this work we reexamine the EPR paradox for composite systems with a finite number of levels. The analysis emphasizes the connection between measurements and conditional probabilities. This connection implies, on the one hand, that when a measurement is performed, the new quantum state and the probability distribution becomes a function of the observable being measured. On the other hand, this becomes important when making predictions about the properties of the subsystems, since the predictions are implicitly a function of the observable that was measured. Systems with finitely many levels are simpler to describe because the analysis is not encumbered by the mathematical technicalities of the continuous case, and the underlying physical interpretations are the same.

Comments: 16 pages, zero figures

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