Non-local characteristics of deleting machine

Abstract

In this paper, we introduce a new deletion machine and its reverse. We compare the fidelity of retention and fidelity of deletion for both deleting machines with the analytical calculations. Most interestingly, it is found that the entangled output states of the deleting machines do not violate Bell’s inequalities, but can act as a teleportation channel for all the input states. Further, fidelity of the teleportation channel is more than the classical channel maximum (i.e., 2/3) and reaches maximum fidelity (i.e., 3/4). We also study the concatenation of deleting machine and reverse deleting machine. Using negativity, quantum correlation created by the deleting machines is quantified. Negativity of the output states generated by the deletion machine and concatenated machines exhibits the same increasing or decreasing trend with respect to the initial state, however, bound to the maximum value of negativity. Non-local attributes of the proposed deletion machines mimic the well-known Pati–Braunstein deletion machine.