Measurements of Nonlocal Variables and Demonstration of the Failure of the Product Rule for a Pre- and Postselected Pair of Photons

Xiao Ye Xu, Wei Wei Pan, Qin Qin Wang, Jan Dziewior, Lukas Knips, Yaron Kedem, Kai Sun, Jin Shi Xu, Yong Jian Han, Chuan Feng Li, Guang Can Guo, Lev Vaidman

Research output: Contribution to journalArticlepeer-review

17 Scopus citations

Abstract

We report the first implementation of the von Neumann instantaneous measurements of nonlocal variables, which becomes possible due to technological achievements in creating hyperentangled photons. Tests of reliability and of the nondemolition property of the measurements have been performed with high precision, showing the suitability of the scheme as a basic ingredient of numerous quantum information protocols. The method allows us to demonstrate for the first time with strong measurements a special feature of pre- and postselected quantum systems: the failure of the product rule. It has been verified experimentally that for a particular pre- and postselected pair of particles, a single measurement on particle A yields with certainty σxA=-1, a single measurement on particle B yields with certainty σyB=-1, and a single nonlocal measurement on particles A and B yields with certainty σxAσyB=-1.

Original languageEnglish
Article number100405
JournalPhysical Review Letters
Volume122
Issue number10
DOIs
StatePublished - 15 Mar 2019

Funding

FundersFunder number
German-Israeli Foundation for Scientific Research and DevelopmentI-1275-303.14
National Natural Science Foundation of China11821404, 61322506, 11474267, 11774335, 61327901
Israel Science Foundation1311/14

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