Malignant tumors in the prostate generally have amorphous geometries and roughness is evident on their surface. These characteristics, together with the escalation dynamics of this type of lesion, provide information on their degree of malignancy or stage, therefore, their understanding leads to establishing an adequate diagnosis and a good radiotherapeutic implementation. The geometry present in prostate cancers leads to an analysis based on scales and a fractal study. In the present work, an in vivo diagnosis of prostate cancer will be made with magnetic resonance images, three-dimensional, using the cluster quantum algorithm and the calculation of the critical exponents of local roughness and the fractal dimension, which will allow staging said lesions. and whose results are consistent with those reported in the literature.