Time-ordering Dependence of Measurements in Teleportation

TL;DR

This paper explores how the order of measurements affects quantum entanglement swapping and teleportation, linking measurement noncommutativity to quantum history and proposing an experimental setup to test these effects.

Contribution

It introduces a new experimental setup to investigate measurement order effects in quantum teleportation and connects delayed-choice entanglement swapping to operator commutativity.

Findings

Delayed-choice entanglement swapping is linked to measurement operator commutativity.

Proposed setup demonstrates measurement order impacts entanglement and teleportation.

Noncommutative measurements can reveal quantum history effects.

Abstract

We trace back the phenomenon of "delayed-choice entanglement swapping" as it was realized in a recent experiment to the commutativity of the projection operators that are involved in the corresponding measurement process. We also propose an experimental set-up which depends on the order of successive measurements corresponding to noncommutative projection operators. In this case entanglement swapping is used to teleport a quantum state from Alice to Bob, where Bob has now the possibility to examine the noncommutativity within the quantum history.