Multimedia　cloud　is　novel　computation　paradigm　which　could　leverage　cloud　infrastructure　to　store　large　quantity　of　multimedia　documents　and　respond　on　the　requests　from　customers.　With　the　development　of　multimedia　cloud,　an　increasing　attention　is　paid　to　its　privacy　and　security　issues.　Searchable　encryption　(SE)　technology　could　protect　the　sensitive　information　of　cloud　storage　data　and　at　the　same　time　allow　keyword　search　query.　Most　of　the　available　SE　schemes　are　constructed　using　the　bilinear　map.　However,　both　discrete　logarithms　and　factorization　are　proved　to　be　solved　by　quantum　computer　in　a　polynomial　time.　Thus,　those　schemes　are　not　secure　in　quantum　age.　Moreover,　majority　SE　schemes　are　limited　in　exact　or　fuzzy　keyword　search.　They　can　not　support　the　semantically　keyword　equivalent　judgement.　In　order　to　solve　those　problems,　we　suggest　a　novel　data　retrieval　scheme　for　multiple　users　based　on　the　lattice　based　mechanism.　The　contribution　of　this　paper　is　summarized　in　three　aspects:　lattice　assumption　based　scheme　to　resist　quantum　attack,　semantically　keyword　search　to　enable　synonym　query　and　broadcast　encryption　based　mechanism　to　support　multiple　user　system　without　sharing　secret　key.　This　scheme　is　a　candidate　for　secure　multimedia　cloud　even　in　quantum-era　since　the　LWE　problem　is　secure　against　quantum　attack.　©　2017,　Springer　Science+Business　Media　New　York.