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Quantum Fisher Information (QFI) is a very useful concept for analyzing situations that require phase sensitivity. It become a popular topic especially in Quantum Metrology domain. In this work, we study the changes in quantum Fisher information (QFI) values for one relative arbitrary phased quantum system consisting of a superposition of N Qubits W and GHZ states. In a recent work  , QFI values of this mentioned system for N qubits were studied. In this work, we extend this problem for thedoi:10.1007/s10773-017-3487-3 fatcat:afjzofxpmrflxd5fpozyiesbwi