State tax filing

No.

As a nonresident of Arizona – someone whose permanent domicile isn’t Arizona – you would only report income derived from Arizona sources. 

Since you have none, you have nothing to report on an Arizona return, and no need to file one.

Please see Do You Have to File? in the Arizona Form 140NR Nonresident Personal Income Tax Booklet, found at Arizona Nonresident Personal Income Tax Booklet.