Entanglement teleportation between distinct decohered qubits mediated via single and double Majorana wire(s)

Abstract

We investigate the decoherence effects from a spin environment on two detached qubits coupled by a single Majorana wire (SMW) and double Majorana wires (DMWs) respectively when teleporting entanglement between the distinct qubits. The role of the composite system parameters on entanglement and entanglement teleportation are examined. Our results shows that strong coupling between the spin environment and the dots modifies the coupling between the qubits and the Majorana fermions (MFs) thus lifting the degenerate zero energy state for the case of the SMW. The SMW is seen to undergo a topological quantum phase transition as seen from the stable asymptotic increase and decrease in its dynamics as the coupling between the qubits and the MFs are varied. We observed that the DMWs are robust against quantum fluctuations of the spin environment with a characteristic cyclic beating phenomenon. This behavior shows that information is mediated via a channel endowed with the anti-ferromagnetic phase and the topological phase that harbors the Majorana zero-energy state. We probe the extent to which the capacitive and pure coupling that defines the DMWs should be tune for entanglement generation between the two sites and thus enhancement of the teleported state. Our description for the Majorana zero modes is in the spin model for spin based quantum applications.