Foundations of Quantum Mechanics: A Quantum Probabilistic Approach

Andrei Yu. Khrennikov

We discuss foundation of quantum mechanics (interpretations, superposition, principle of complementarity, locality, hidden variables) and quantum information theory.

Leon W. Cohen

Lazar Mayants

Ziro Maki

The logical foundation of the probabilistic intrepretation of quantum-mechanical states is re-examined in view of Fukuda's new theory of measurement. We suggest that the probabilistic interpretation could be viewed as a natural consequence of the reduction of states upon meaurement, rather than an a priori ansatz contained in the “external observation” framework of quantum mechanics.

Robin Giles

Jincheng Zhang

Quantum entanglement, a bizarre phenomenon in quantum mechanics, presents a unique challenge and opportunity for reimagining probabilistic reasoning. This paper explores the potential of utilizing quantum entanglement as a foundational framework for probability theory. We propose a novel probabilistic model that explicitly incorporates the entanglement effects inherent in quantum systems, aiming to provide a more nuanced and potentially predictive approach to probability. The core mechanism focuses on leveraging entanglement to introduce subtle, yet fundamental, differences in the probabilistic interpretation of events. The paper will detail the mathematical groundwork necessary for such a framework, highlighting the key challenges and potential benefits of this approach. This research will investigate the implications of entanglement on the fundamental nature of probability, offering a new perspective on how we understand and model uncertainty.