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arXiv · 2505.09721

Discovery of entanglement generation by elastic collision to realise the original Einstein-Podolsky-Rosen thought experiment

Roman Schnabel
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Abstract

The amazing quantum effect of `entanglement' was discovered in the 1935 thought experiment by Albert Einstein, Boris Podolsky and Nathan Rosen (`EPR'). The ensuing research opened up fundamental questions and led to experiments that proved that quantum theory cannot be completed by local hidden variables. Remarkably, EPR did not discuss how to create the entanglement in their thought experiment. Here I add this part. What is required in the original EPR thought experiment is a simple elastic particle collision, an unbalanced mass ratio of e.g. 1:3 and initial states that are position and momentum squeezed, respectively. In the limiting case of infinite squeeze factors, the measurement of the position or momentum of one particle allows an absolutely precise conclusion to be drawn about the value of the same quantity of the other particle. The EPR idea has never been tested in this way. I outline a way to do this.

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Roman Schnabel. 2025-06-19. Discovery of entanglement generation by elastic collision to realise the original Einstein-Podolsky-Rosen thought experiment. https://doi.org/10.1038/s41534-025-01028-7

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