Nonlocal Position Changes of a Photon Revealed by Quantum Routers

Scientific Reports
Avshalom C ElitzurShigeki Takeuchi

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, with certainty, in boxes A+C at t1, then only in C at t2, and finally in B+C at t3. Another branch of the split probe photon can show that boxes A+B were empty at t2. A Bell-like theorem applied to this experiment challenges any alternative interpretation that avoids disappearance-reappearance in favor of local hidden variables.

References

Oct 24, 1994·Physical Review Letters·L Hardy
Dec 31, 2005·Physical Review Letters·Ryo OkamotoKeiji Sasaki
Jun 8, 2011·Proceedings of the National Academy of Sciences of the United States of America·Ryo OkamotoShigeki Takeuchi
Sep 26, 2012·Physical Review Letters·Francesco Buscemi
Feb 4, 2014·Physical Review Letters·A DananL Vaidman
Jan 6, 2016·Proceedings of the National Academy of Sciences of the United States of America·Yakir AharonovJeff Tollaksen
Oct 16, 2016·Scientific Reports·Ryo Okamoto, Shigeki Takeuchi
Apr 5, 2017·Scientific Reports·Yakir AharonovAvshalom C Elitzur
Jan 1, 2018·Foundations of Physics·Yakir AharonovLee Smolin

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Citations

Dec 9, 2020·Entropy·Avshalom C Elitzur, Eliahu Cohen

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