New Jersey taxes income based on where the service or employment is performed so as Tax Expert @DawnC said, you are not liable for New Jersey tax and should file a NJ nonresident return to get a refund.
You must enclose a signed statement with your New Jersey nonresident returns indicating you are a resident of California, along with a copy of your CA tax return.
To stop withholding complete an Employee's Certificate of Nonresidence in New Jersey (Form NJ-165) and give it to your employer.
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