When dose state taxes come

That's hard to generalize since there are over 40 state tax agencies, each doing its own thing.  Some states are fairly quick with refunds, while some states can take quite a long time processing returns--even several weeks--as they crack down on detecting fraudulent returns.  You may be able to get an idea about how long in your state from the FAQs at your state's tax agency website as I will mention below.

If you efiled, be sure your efiled state return was accepted.  You can check by looking in your Online account at the Tax Home.    If it was accepted (or if you filed by mail), you can use the FAQ below to get to your state's refund lookup tool.

TIP:   While you're at your state's tax website, also look for a statement or FAQ that may say about how long it takes to get a refund in your state and how to long to wait before phoning them.  Many states have such information on their websites.

FAQ:  How do I track my state refund?

https://ttlc.intuit.com/community/refund-status/help/how-do-i-track-my-state-refund/00/25571