Quantum teleportation based on the elegant joint measurement

Abstract

As a generalization of the well-known Bell state measurement (BSM), the elegant joint measurement (EJM) is a kind of novel two-qubit joint measurement, parameterized by a subtle phase factor $\theta \in [0,\pi /2]$. We investigate here the quantum teleportation based on the EJM that conceptually goes beyond BSM. It is a probabilistic teleportation caused by nonunitary quantum evolution except for the special case of the BSM with $\theta =\pi /2$. We show in detail the feasible quantum circuits to realize the present scenario, where a few unitary operations and a nonunitary quantum gate are being utilized. This work suggests that it is feasible to extend the customary (BSM-based) teleportation scenarios to the EJM-based ones, and different from the BSM being single input it may provide a continuously variable input setting or even multiple measurement settings for the sender of the quantum state.