Since Imperial Rome and the Han dynasty were taking places at relatively the same time, they have many similarities. But considering the distance and isolation from each other, many differences also occurred. Both Rome and Han China used technology to improve their empire, but changing your social class rank was very difficult in China, but a bit easier in Rome.
Similarities:
Both the Roman and the Han had advanced technology like roads, sewage/water systems, engineering, and architecture.
Evidence:
Silk Road, aqueducts and advanced sewage systems running through both empires, Great Wall and the Colosseum, and many others.
Direct Comparison:
Both empires had a good control of their water. While Rome had massive aqueducts