Quantum information splitting and open-destination teleportation using decomposable multipartite quantum channel part 1: theory

Abstract

The theory of an experimentally feasible four-partite scheme for splitting and open-destination teleportation of an arbitrary two-qubit state is presented. In this scheme, the quantum channel is provided by a pair of four-qubit generalized (G) Bell-states, which are decomposable. We show that not all possible distributions of entangled qubits to four communicating parties result in successful open-destination teleportation. We theoretically prove that two Bell-state measurements performed by a sender result in splitting, distributing, and locking the two-qubit state among three different receivers. The complete details of the procedure for unlocking the shared two-qubit state and eventually regenerating it at the location of any one of the three receiving stations is theoretically analyzed. This unlocking and regeneration procedure consists of local operations and classical communication (LOCC) performed by the remaining two receivers.