Secure　multiparty　computation　is　crucial　in　ensuring　effective　protection　of　participant＇s　privacy.　Quantum　homomorphic　encryption　technology　is　an　effective　method　to　facilitate　the　realization　of　quantum　secure　multiparty　computation.　The　logical　AND　operation　is　a　basic　primitive　of　logical　computation,　often　combined　with　the　NOT　operation　to　perform　more　complex　logical　operations.　In　the　field　of　quantum　computing,　the　Toffoli　gate　(composed　of　Clifford　gate　and　T　gate)　required　to　implement　the　logical　AND　operation　has　relatively　high　requirements　for　the　number　and　computational　depth　of　T　gates.　This　paper　proposes　a　secure　multiparty　logical　AND　protocol　that　effectively　reduces　the　usage　and　depth　of　T　gates.　Compared　with　previous　quantum　homomorphic　encryption　schemes,　this　protocol　improves　security　based　on　quantum　one　time　pad　encryption　and　quantum　teleportation,　and　can　effectively　resist　various　external　and　internal　security　threats　including　tampering　attacks.　The　introduced　quantum　state　commitment　and　auxiliary　bit　mechanism　provides　support　for　verifying　the　correctness　of　the　calculation　results.　Subsequently,　two　important　applications　are　derived:　quantum　multiparty　private　set　intersection　and　quantum　secure　multiparty　sum　algorithm.　Tests　performed　on　the　IBM　Qiskit　quantum　simulator　show　the　expected　effectiveness　of　our　method.　The　secure　multiparty　logical　AND　algorithm　proposed　in　this　paper　is　expected　to　be　widely　used　in　other　secure　multiparty　computation　scenarios.