If you took the claim of right deduction on Schedule A, line 16, and identified the deduction as such, TurboTax will automatically carry this deduction over to the California return. Schedule CA for California details which items are added or subtracted from California income and this item is not removed from California deductions on Schedule CA.
See here for information from the California Franchise Tax Board regarding Schedule CA adjustments.
You may wish to preview your returns before filing to determine why you only see the standard deduction for California as the amount of the deduction you described exceeds the standard deduction. See here for details.