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　S-1　using　an　exhaustive　pruning　strategy　and　tower　domain　decomposition　technology.　Subsequently,　we　develop　quantum　circuits　for　S-0　and　S-1　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　S-0　and　S-1　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　x　108.