Yes, you would file a nonresident CA tax return and include only the income from days you work in the state of CA. It doesn't matter where the company HQ are located, it only matters where you do the work. If you work in CA, that income is considered California sourced income. Example: If you were to go to Kentucky and work there for a week, those earnings for that week would be KY sourced income.
If you are a w-2 employee, you can't claim a home office deduction. Only the self-employed can claim that deduction.
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