Depending on the state, the acceptance times may vary. Some states begin processing income tax returns around the same time as the IRS, while others start processing at a later time. 

For further information on this topic, you may refer to the FAQ: Why is my state e-file still pending?  https://ttlc.intuit.com/replies/3302294

Once your state income tax return is accepted, you may details on tracking the status in the FAQ: How do I track my state refund?  https://ttlc.intuit.com/replies/3300211