The　Zu　Chongzhi　cryptographic　algorithm　(ZUC)　is　a　stream　cipher　algorithm　published　in　China.　This　paper　focuses　on　the　realization　of　the　complete　quantum　circuit　for　the　ZUC-128　algorithm　with　low　T-depth.　The　S-box　is　a　crucial　component　of　the　nonlinear　aspect　of　the　ZUC-128　algorithm.　Initially,　we　derive　the　classical　circuit　implementations　of　S0　and　S1　using　an　exhaustive　pruning　strategy　and　tower　domain　decomposition　technology.　Subsequently,　we　develop　quantum　circuits　for　S0　and　S1　in　two　steps:　first　by　reducing　the　AND-depth　of　the　classical　circuit,　and　then　by　ensuring　that　the　T-depth　of　the　quantum　circuit　equals　the　AND-depth　of　the　classical　circuit.　Our　new　S0　and　S1　quantum　circuits　both　have　a　T-depth　of　7.　We　are　currently　researching　the　quantum　circuit　implementation　of　the　adder　and　L　function　in　order　to　minimize　the　T-depth　of　the　entire　circuit.　Finally,　we　propose　the　construction　of　quantum　circuit　to　realize　the　whole　process　of　ZUC-128　algorithm　with　low　T-depth.　When　the　number　of　rounds　L　=　32　in　the　working　step,　this　quantum　circuit　requires　46008　qubits,　682340　T　gates,　2008535　CNOT　gates　and　42680　NOT　gates,　with　the　T-depth　of　11341,　and　the　number　of　qubits　multiplied　by　T-depth　is　5.22　×　108　©　2024　Chinese　Academy　of　Sciences.　All　rights　reserved.