The thermodynamic influence of quantum probing on an object is studied.Here,quantum probing is understood to be a pre-measurement based on a non-demolition interaction,which records some information of the probed object but does not change its energy state when both the probing apparatus and the probed object are isolated from the environment.It is argued that when the probing apparatus and the probed object are immersed in the same equilibrium environment,the probing can affect the effective temperature of the object or induce a quantum isothermal process for the object to transfer its energy.This thermodynamic feature can be regarded as a witness of quantum probing.
We study the dynamics of an electron spin state transfer along a half-filled two-band model(TBM).It is shown that this solvable and realistic medium has an energy gap between the ground and first-excited states in the half-filled case.By connecting two qubits to two sites of the TBM,the system can accomplish a high-fidelity and long-distance quantum state transfer(QST).Moreover,numerical simulations have been performed for a finite system.The results show that the numerical and analytical results of the effective coupling strength agree well with each other.Furthermore,the investigation shows that the reduced density matrix also has high fidelity beyond the range of perturbation.
