Experimental Joint Weak Measurement on a Photon Pair as a Probe of Hardy's Paradox

J. S. Lundeen, A. M. Steinberg
2009 Physical Review Letters  
It has been proposed that the ability to perform joint weak measurements on post-selected systems would allow us to study quantum paradoxes. These measurements can investigate the history of those particles that contribute to the paradoxical outcome. Here, we experimentally perform weak measurements of joint (i.e. nonlocal) observables. In an implementation of Hardy's Paradox, we weakly measure the locations of two photons, the subject of the conflicting statements behind the Paradox.
more » ... Paradox. Remarkably, the resulting weak probabilities verify all these statements but, at the same time, resolve the Paradox.
doi:10.1103/physrevlett.102.020404 pmid:19257252 fatcat:nwxjefr2mnewtmomeim2q77gnu