Enhanced joint remote state preparation under correlated amplitude damping decoherence by weak measurement and quantum measurement reversal

A joint remote state preparation (JRSP) scheme is put forward to prepare an arbitrary single-qubit state. Specifically, the GHZ-state of three qubits as a resource successively passes through the correlated amplitude damping (CAD) noisy channel. Then, an analytical expressions quantifying the average fidelity of JRSP is obtained under the CAD noisy channel. Comparing with the results of uncorrelated amplitude damping (AD) noise, we find that the correlated effects enable to improve the average fidelity of JRSP in the CAD noisy channel. Furthermore, by introducing the weak measurement (WM) and quantum measurement reversal (QMR), and we calculate the average fidelity as a function of the decoherence strength, memory parameter, measurement strength of WM and measurement strength of QMR for an arbitrary quantum state to be prepared. These results demonstrate that the combination of WM and QMR can significantly improve the average fidelity in both uncorrelated and correlated AD noise. Our results may extend the capabilities of WM as a technique in various quantum information processing which are affected by correlated noise.