An investigation of the transfer dynamics of quantum teleportation by weak measurement statistics

Abstract

We explore the mechanism of quantum teleportation by analyzing the weak measurement statistics post-selected by the result of the Bell measurement for the joint system composed of the input A and the spatially separated output B. It is shown that the weak measurement statistics observed before the Bell measurement includes correlations which relate every physical property in the input A to a corresponding physical property in the output B. The Bell measurement thus identifies the accidental relation between A and B already present in the quantum fluctuations of the input state. Significantly, this relation applies to all physical properties equally, and is completely independent of the input state. Teleportation therefore copies all physical properties of input system A to output system B, irrespective of whether the input state is an eigenstate of the property or not.Comment: 14 pages, including 3 figures, clarification of the relation between weak measurement results and transient states. Final version for publication in J. Phys.