论文标题

单粒子纠缠产生真正的非局部效应,例如单粒子转向

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

论文作者

Aguilar, L. M. Arévalo

论文摘要

1927年,在索尔维会议上,爱因斯坦(Einstein)提出了一个思想实验,其主要目的是显示量子力学的不完整性。为了证明这一点,他使用了由单个粒子的波函数崩溃引起的瞬时非局部效应 - 当进行测量时,在距离处的怪异动作。这一历史事件是对量子力学不完整的众所周知的爱因斯坦 - 波多塞克 - 罗森(Rosen)批评。在这里,通过使用船尾gerlach实验(SGE),我们演示了如何使用波函数的瞬时非局部特征与单粒子纠缠一起来产生转向的非局部效应。在转向过程中,鲍勃获得了一个量子状态,具体取决于可观察到的爱丽丝决定测量哪个量子。为此,我们充分利用单粒子纠缠波函数的扩散(大距离)。特别是,我们证明了单粒子纠缠的非局部性使粒子可以知道探测器爱丽丝用于转向Bob的状态。因此,尽管有强烈的反驳,但我们证明了单粒子纠缠在两个遥远的位置上产生了真正的非本地效应。这打开了使用单粒子纠缠实施真正的非本地任务的可能性。

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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