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Michigan State University Press eBooks

Quantum Entanglement Theory

Published Jan 1, 2026• 0 citations
Publisher
DOI
10.14321/jj.37697537.29

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Journal of Quantum Information Science•Jan 1, 2025•0 citations
One of the most striking features of quantum theory is the existence of entangled states, responsible for Einstein's so called "spooky action at a distance." These states emerge from the mathematical formalism of quantum theory, but to date we do not have a clear idea of the physical principles that give rise to entanglement. Why does nature have entangled states? Would any theory superseding classical theory have entangled states, or is quantum theory special? One important feature of quantum theory is that it has a classical limit, recovering classical theory through the process of decoherence. We show that any theory with a classical limit must contain entangled states, thus establishing entanglement as an inevitable feature of any theory superseding classical theory.
This paper introduces Probability Quantum Entanglement Field Theory (PQFL), a novel theoretical framework for understanding and leveraging quantum entanglement in the context of quantum information storage, quantum computation, and quantum communication. We propose a field theory based on the probabilistic nature of entanglement, dynamically encoding and transmitting information through precise measurements and quantum state evolution. The core mechanism of PQFL centers around the concept of "quantum entanglement as a probabilistic field," enabling a fundamentally different approach to computation compared to traditional methods. This approach aims to improve efficiency and robustness against interference. The paper presents a preliminary analysis of PQFL's potential applications and explores its underlying mathematical foundations.
Quantum Entanglement Field Theory (QEFT) presents a novel theoretical framework for dynamically modulating quantum entanglement strength in pair production processes, such as photon-to-electron-positron conversion. QEFT introduces the Entanglement Field Strength, a dynamic measure of nonlocal correlations influenced by photon energy, magnetic fields, spatial separation, and temporal decoherence. Numerical simulations demonstrate that entanglement strength can increase by up to 4.4 times under optimal conditions, with a 1.50% error, or decrease under adverse conditions. By integrating quantum electrodynamics, pilot wave theory, and phenomenological adjustments, QEFT provides a robust model validated through dimensional consistency. Potential applications include enhanced quantum key distribution and secure information processing protocols. An experimental setup using synchrotron sources and superconducting magnets is proposed to validate QEFT, offering insights for advancing quantum communication and computing technologies.