The purport of quantum teleportation is to completely transfer informationfrom one party to another distant partner. However, from the perspective ofparameter estimation, it is the information carried by a particular parameter,not the information of total quantum state that needs to be teleported. Due tothe inevitable noise in environment, we propose two schemes to enhance quantumFisher information (QFI) teleportation under amplitude damping noise with thetechnique of partial measurements. We find that post partial measurement cangreatly enhance the teleported QFI, while the combination of prior partialmeasurement and post partial measurement reversal could completely eliminatethe effect of decoherence. We show that, somewhat consequentially, enhancingQFI teleportation is more economic than that of improving fidelityteleportation. Our work extends the ability of partial measurements as aquantum technique to battle decoherence in quantum information processing.
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