Yes, you are required to file a nonresident LA income tax return even though you live in a state that does not have a state income tax.
Nonresident and part-year resident taxpayers who are required to file a federal individual income tax return are required to file a Louisiana income tax return, IT-540B, reporting all income earned from Louisiana sources. The calculation for the IT-540B requires that a taxpayer report all income from all sources in order to determine a ratio of Louisiana adjusted gross income to Federal adjusted gross income. Only income earned from Louisiana sources, however, is taxed.
To file a LA nonresident income tax return, click on How do I file a nonresident state return?
