CA has an AMT. Until Trump's tax reform, you would have paid federal and CA AMT if you had a big payday (a payday of appreciable size typically happens once or twice to SV folks; they are not 'rich' by any stretch of the imagination, when cost of housing, living, and retirement are considered, but they can still get caught up in this AMT trap).

Ohio does not have an AMT. Somewhat surpisingly, Ohio does have a Capital Gains tax, similar to CA, but I'm not sure how they compare.