Zero entry visa? Z or L? have you register yourself to local police? you are required to change this visa into a residence permit from Local PSB within 30 days after entry to China. The residence permit works as a multi-entries visa, with which you can exit and enter China anytime if the permit is valid.
In addation, you can read Foreigners with Immediate Family Living in China(https://www.travelchinaguide.com/embassy/visa/family-visit-permit.htm) for more details.