In　this　paper,　we　design　an　energy　conserving　local　discontinuous　Galerkin　(LDG)　method　to　solve　the　quantum　Zakharov　system　(QZS).　We　first　give　theoretical　proof　for　the　conservation　of　mass　and　energy　and　then　focus　our　discussion　on　the　priori　estimates　for　the　semi-discrete　approximation　of　the　QZS.　With　the　proof　for　the　L2　boundedness　of　the　numerical　solutions　and　the　discrete　Poincare　inequalities,　we　obtain　the　optimal　error　estimates.　Next,　we　develop　a　decoupled　and　implicit　linear　fully　-discrete　scheme　using　the　semi-implicit　spectral　deferred　correction　(SISDC)　method　for　temporal　discretization.　Another　strength　of　our　approach　is　the　arbitrary　high　accuracy　which　depends　only　on　the　degree　of　the　approximating　piecewise　polynomials.　Finally,　several　numerical　examples　are　reported　to　validate　it　and　the　conservation　properties.　Especially,　the　second-order　convergence　rate　of　the　QZS　to　its　limiting　model　in　the　semi-classical　limit　is　achieved　as　expected.&　COPY;　2023　Elsevier　B.V.　All　rights　reserved.