This paper explores the use of adaptive quantum circuits to efficiently prepare a wide class of matrix product states (MPS) with constant-depth circuits, which is particularly relevant for near-term quantum devices. Adaptive quantum circuits combine local unitary gates, mid-circuit measurements, and feedforward operations, offering a promising approach for state preparation. The authors demonstrate that a diverse set of MPS, including short- and long-range entangled states, symmetry-protected topological (SPT) and symmetry-broken states, and MPS with various symmetries, can be exactly prepared using constant-depth adaptive circuits, outperforming optimal preparation protocols that rely solely on unitary circuits. They provide explicit algorithms and conditions for specific MPS to be prepared in constant time, highlighting the role of global on-site symmetries. The work also discusses the utility of this framework for designing constant-depth sampling protocols, such as for random MPS or generating MPS in specific SPT phases. Overall, the paper showcases the potential of adaptive quantum circuits for efficiently preparing complex many-body entangled states, providing valuable insights and algorithms for near-term quantum applications.This paper explores the use of adaptive quantum circuits to efficiently prepare a wide class of matrix product states (MPS) with constant-depth circuits, which is particularly relevant for near-term quantum devices. Adaptive quantum circuits combine local unitary gates, mid-circuit measurements, and feedforward operations, offering a promising approach for state preparation. The authors demonstrate that a diverse set of MPS, including short- and long-range entangled states, symmetry-protected topological (SPT) and symmetry-broken states, and MPS with various symmetries, can be exactly prepared using constant-depth adaptive circuits, outperforming optimal preparation protocols that rely solely on unitary circuits. They provide explicit algorithms and conditions for specific MPS to be prepared in constant time, highlighting the role of global on-site symmetries. The work also discusses the utility of this framework for designing constant-depth sampling protocols, such as for random MPS or generating MPS in specific SPT phases. Overall, the paper showcases the potential of adaptive quantum circuits for efficiently preparing complex many-body entangled states, providing valuable insights and algorithms for near-term quantum applications.