Quick and precise detection and recovery of cycle slips are a key issue to be solved in high precise positioning of satellite navigation. In order to achieve high precision positioning, the interferometric Quantum Positioning System (QPS) must provide a good Position Dilution of Precision (PDOP). The PDOP is not ideal throughout coverage area under the influence of different baseline layouts. A new method of cycle slips detection and recovery is proposed by utilizing the precise quantum ranging of the interferometric Quantum Positioning System to locate at a certain direction in aid of a satellite navigation and cycle slips detection and recovery. The positioning equation of interferometric Quantum Positioning System (QPS) integrated with satellite navigation network RTK is deduced. Under the new positioning model Household transformations and Least-squares Ambiguity Decorrelation Adjustment (LAMBDA) algorithm are adopted to determine the Double Difference Integral Ambiguity (DDIA) of satellite navigation network RTK by means of precise quantum ranging. Cycle slips can be detected and recovered according to variation of DDIA. The simulation results show that the method can determine cycle slips in an epoch and recover the cycle slips correctly within subsequent short epochs.