Hello,
I'm not sure if I totally understood your question, but:
From the inspection lot display transaction QA03 you can search the archive using the search help Inspection Lot Using Archive.
It's prerequisites is that an active info structure exists for the field catalog SAP_QM_CONTROL1. This info structure is stored in the background in the search help Inspection Lot Using Archive.
The following online documentation explains the SAP Standard possibilies in detail:
http://help.sap.com/saphelp_erp60_sp/helpdata/en/46/022f380fcdf805e10000
009b38f8cf/content.htm
The report program for archiving is RQRQAB10.
Regards,
Natália Machado