In order to improve the quality of fuzzy image reconstruction, improved quantum algorithm was proposed. Firstly, quantum information communication on different circles in the same ring was realized by virtual connection, which quantum information communication on different circles and other quantum information on the same ring was realized by using the virtual connection established previously. Secondly, self-checking process was achieved via quantum error correction. Thirdly, original image was estimated based on gradient norm; fuzzy kernel function was minimized based on auxiliary variable, Chau Laplace prior was used to restore image. Finally, the process was displayed elaborately. The simulation results showthat peak signal noise ratio of the improved quantum algorithm was improved 35.47%、42.58%、28.69%、23.39%、21.05%、14.28% comparing with IF、WF、GS、TVGS、CM、HLD, background suppress factor was improved 17.61%、22.41%、12.77%、8.48%、6.76%、6.17% comparing with IF、WF、GS、TVGS、CM、HLD, information entropy was improved 35.19%、42.27%、27.46%、19.15%、11.35%、6.31% comparing with IF、WF、GS、TVGS、CM、HLD, and average gradient was improved 58.23%、69.79%、47.33%、36.73%、27.55%、11.85% comparing with IF、WF、GS、TVGS、CM、HLD. It is better than other algorithms, while provides a new idea and method for fuzzy image restoration.