Remote restoring of $(0,1)$-excitation states and concurrence scaling

Abstract

We study the long distance (0,1)-excitation state restoring in the linear open chain governed by the XX-Hamiltonian. We show that restoring the 1-order coherence matrix results in restoring the 1-excitation block of the 0-order coherence matrix, so that only one 0-excitation element of the density matrix remain unrestored. Such restoring also scales the concurrence between any two qubits of the transferred state, the scaling factor is defined by the Hamiltonian and doesn't depend on the initial sender's state. Sender-Receiver entanglement is also studied via the PPT criterion.