Single-particle entanglement gives rise to truly nonlocal effects like single-particle steering

• URL: http://arxiv.org/abs/2011.08286v3
• Date: Thu, 3 Dec 2020 20:13:40 GMT
• Title: Single-particle entanglement gives rise to truly nonlocal effects like single-particle steering
• Authors: L. M. Ar\'evalo Aguilar
• Abstract summary: We exploit the nonlocality of the single-particle entanglement to produce the nonlocal effect of steering. We prove that the single-particle entanglement gives rise to truly nonlocal effects at two far a away places.
• Score: 0.0
• License: http://creativecommons.org/licenses/by/4.0/
• Abstract: In 1927, at the Solvay conference, Einstein posed a thought experiment with the primary intention of showing the incompleteness of quantum mechanics; to prove it, he uses the instantaneous nonlocal effects caused by the collapse of the wave function of a single particle -the spooky action at a distance-, when a measurement is done. This historical event precede the well-know Einstein-Podolsk-Rosen criticism over the incompleteness of quantum mechanics. Here, by using the Stern-Gerlach experiment (SGE), we demonstrate how the instantaneous nonlocal feature of the collapse of the wave function together with the single-particle entanglement can be used to produce the nonlocal effect of steering. In the steering process Bob gets a quantum state depending on which observable Alice decides to measure. To accomplish this, we fully exploit the spreading (over large distances) of the entangled wave function of the single-particle. In particular, we demonstrate that the nonlocality of the single-particle entanglement allows the particle to know which detector Alice is using to steer Bob's state. Therefore, notwithstanding strong counterarguments, we prove that the single-particle entanglement gives rise to truly nonlocal effects at two far a away places. This open the possibility of using the single-particle entanglement for implementing truly nonlocal task.

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