The Statistical Interpretation of Entangled States

2004/04/01 by B. C. Sanctuary, Sanctuary, B. C.
Computer Science · Physics and Astronomy · #FOS: Physical sciences #Quantum Computing Algorithms and Architecture #Quantum Information and Cryptography #Quantum Mechanics and Applications #Quantum Physics (quant-ph)

paper · pdf · doi:10.48550/arxiv.quant-ph/0404011

openalex publication_date 2004/04/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

Entangled EPR spin pairs can be treated using the statistical ensemble interpretation of quantum mechanics. As such the singlet state results from an ensemble of spin pairs each with an arbitrary axis of quantization. This axis acts as a quantum mechanical hidden variable. If the spins lose coherence they disentangle into a mixed state. Whether or not the EPR spin pairs retain entanglement or disentangle, however, the statistical ensemble interpretation resolves the EPR paradox and gives a mechanism for quantum "teleportation" without the need for instantaneous action-at-a-distance.

Citations

• Interpretation of "non-local" experiments using disentanglement
• Can Quantum-Mechanical Description of Physical Reality Be Considered Complete?
• Discussion of Probability Relations between Separated Systems
• New High-Intensity Source of Polarization-Entangled Photon Pairs
• On the Einstein Podolsky Rosen paradox

Related

• Solving the EPR paradox: an explicit statistical model for the singlet\n quantum state
• On the reality of EPR paradox
• Rationalization of EPR Coincidence Experiments
• Quantum supervaluationist account of the EPR paradox
• A local scheme accounting for EPR quantum correlations