New York allows you to claim unreimbursed employee business expenses but I didn't find that using TurboTax Deluxe.

[r2d2louisbagels3]

The specific New York state form is IT-196. I wasn't asked to provide any of this information during my state taxes portion.

[JulieCo]

You would still enter the employee business related expenses (form 2106) in the federal section of TurboTax and then they will flow over to the state return. 

See the steps below to be brought to this section of TurboTax:

1. Open (continue) your return in TurboTax if it's not already open.
2. In TurboTax, search for 2106 and then select the "Jump to" link in the search results.
3. At the Tell us about the occupation you have expenses for screen, enter your occupation, then select Continue.
   • If you land on the Job-Related Expenses Summary screen, you can select Add Another Occupation (to add another 2106), Edit (for an existing 2106), or Delete.
4. Follow the onscreen instructions to enter your employee expenses.