A Pointer Theory Explanation of Weak Value Persistence Occurring in the Quantum Three Box Experimental Data

Abstract

A concise exact pointer theory for von Neumann projector measurements of pre-and post-selected quantum systems has previously been used to formalize the notion of weak value persistence and apply it to explain pointer position data collected from a dynamical quantum non-locality detection experiment. This paper applies this exact pointer theory to provide an operational explanation of weak value persistence observed in the data obtained from a recent quantum box experiment.

A note concerning the modular valued von Neumann interaction operator

“…As a side note, Eq. ( 12) is a formal statement that the action of V m upon |ϕ produces a state that exhibits weak value persistence (recall that weak value persistence refers to the fact that the measured weak values 0 and 1 for a projector persist for large coupling strengths outside the weak measurement regime where the measurements are no longer weak measurements) [9,10].…”