Nonlocal Position Changes of a Photon Revealed by Quantum Routers
Avshalom C. Elitzur, Eliahu Cohen, Ryo Okamoto, Shigeki Takeuchi

TL;DR
This paper demonstrates the nonlocal position changes of a photon using quantum routers, revealing its dynamic presence across multiple boxes and challenging local hidden variable theories through a Bell-like theorem.
Contribution
It combines previous advances to experimentally track a photon's nonlocal position changes with quantum routers, providing new insights into quantum paradoxes.
Findings
Photon acts like a quantum shutter with nonlocal position changes.
Experimental evidence of the photon being in different boxes over time.
Bell-like theorem challenges local hidden variable explanations.
Abstract
Since its publication, Aharonov and Vaidman's three-box paradox has undergone three major advances: i). A non-counterfactual scheme by the same authors in 2003 with strong rather than weak measurements for verifying the particle's subtle presence in two boxes. ii) A realization of the latter by Okamoto and Takeuchi in 2016. iii) A dynamic version by Aharonov et al. in 2017, with disappearance and reappearance of the particle. We now combine these advances together. Using photonic quantum routers the particle acts like a quantum "shutter." It is initially split between Boxes A, B and C, the latter located far away from the former two. The shutter particle's whereabouts can then be followed by a probe photon, split in both space and time and reflected by the shutter in its varying locations. Measuring the former is expected to reveal the following time-evolution: The shutter particle was,…
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