Can evidence obtained in a State search warrant be used later in a Federal Trial?

My home was raided and marijuna was found. I was convicted from that evidence and sentenced to probation. I am now being charged in a federal conspirancy case and the Feds are using the same evidence in the Federal case. Is this legal and or ethical. I feel like it's "Double Jeopardy" however I am told it is a different charge or case.