Swapping of correlations via teleportation with decoherence

Quantum channel teleporting one party of a bipartite entangled state is considered. It is assumed that resource is coupled to thermal decohering (dissipative and/or pure dephasing) environment. We investigate both the fidelity of the channel and its ability to swap the initial correlation to the final state of the system in which subsystems did not interact directly. We qualify the correlations by negativity and quantum discord. We show that the correlation loss defined as a difference between values of the correlation measure for the teleported state and the resource vanishes for certain choice of parameters at certain time instants. Moreover, the perfect transmission of entanglement takes place in the case when the resource qubits have the same energy splitting.

Figure 1

Fidelity (21) vs time. Upper panel: $\omega =0$; middle panel: $\omega =1$; bottom panel: $\omega =4$. In all cases $p=1/2.$

Figure 2

Top panel: Negativity $N=N\left[{\rho }_{03}\left(t\right)\right]$ given by Eq. (24) and negativity of resource $N\left[{\chi }_{23}\left(t\right)\right]$ in Eq. (28) [denoted by an asterisk $(*)$] for selected values of $A/G$ and $\omega =4$. Central panel: Negativity $N=N\left[{\rho }_{03}\left(t\right)\right]$ for $A/G=0$ and three values of $\omega$. Bottom panel: Correlation loss $\Delta N=\Delta N\left(t\right)$ in Eq. (30) as a function of time for different values of $A/G$ and $\omega =4$. In all panels $p=1/2$.

Figure 3

Top panel: Quantum discord $D\left[{\rho }_{03}\right]$ and $D\left[\chi {}_{23}\right]$ [denoted by an asterisk $(*)$] for different values of $A/G$ and $\omega =4$. Central panel: Quantum discord $D\left[{\rho }_{03}\right]$ for $A/G=0$ and different values of $\omega$. Bottom panel: Correlation loss $\Delta D=D\left[\chi {}_{23}\right]-D\left[{\rho }_{03}\right]$ as a function of time for different values of $A/G$ and $\omega =4$. In all panels $p=1/2$.