Work in Ca but left for NJ due to COVID

Hi,

  I worked and lived in Ca from Jan 2020 - March 2020. I left for NJ where rest of my family is because of the pandemic and remotely worked from there. I changed my home address in work HR system (to NJ), but work address stayed the same (Ca).  How do I go about completing the 2020 taxes? Do I file for both CA and NJ ?   My work has reported income and deducted taxes at source for the entire year in Ca, and reported income but deducted no taxes for NJ from April 2020- Dec 2020. (Thus, double reporting the income for this period to both Ca and NJ). Will appreciate the help. thx