Epidemics,　such　as　Corona　Virus　Disease　2019　(COVID-19),　have　serious　consequences　globally,　of　which　the　most　effective　way　to　control　the　infection　is　contact　tracing.　Nowadays,　research　related　to　privacy-preserving　epidemic　infection　control　has　been　conducted,　nevertheless,　current　researchers　do　not　regard　the　authenticity　of　records　and　infection　facts　as　well　as　poor　traceability.　Moreover,　with　the　emergence　of　quantum　computing,　there　is　a　bottleneck　in　upholding　privacy,　security　and　efficiency.　Our　paper　proposes　a　privacy-preserving　epidemic　infection　control　scheme　through　lattice-based　linkable　ring　signature　in　blockchain,　called　AQRS.　Firstly,　our　scheme　adopts　a　blockchain　with　three　ledgers　to　store　information　in　a　distributed　manner,　which　offers　transparency　and　immunity　from　the　Single　Point　of　Failure　(SPoF)　and　Denial　of　Service　(DoS)　attacks.　Moreover,　we　design　a　lattice-based　linkable　ring　signature　scheme　to　secure　privacy-preserving　of　epidemic　infection　control.　Significantly,　we　are　the　first　to　introduce　the　lattice-based　linkable　ring　signature　into　privacy　preserving　in　epidemic　control　scenario.　Security　analysis　indicates　that　our　scheme　ensures　unconditional　users　anonymity,　record　unforgeability,　signature　linkability,　link　non-slanderability　and　contact　traceability.　Finally,　the　comprehensive　performance　evaluation　demonstrates　that　our　scheme　has　an　efficient　time-consuming,　storage　consumption　and　system　communication　overhead　and　is　practical　for　epidemic　and　future　pandemic　privacy-preserving.　©　2023　Elsevier　B.V.