High-level quantum structured programs as quantum registers compositions
Current quantum programs predominantly rely on single-qubit gate operations and lack high-level abstractions, leading to complex and error-prone designs. This work proposes a structured programming paradigm that treats indivisible quantum registers as fundamental units, advancing computation through semantically precise register-level transformations and entanglement operations. To bridge high-level expressions with low-level semantics, the approach introduces an algebraic formal syntax. By integrating phase-conditioned operations, parallel evaluation mechanisms, and quantum SMT solving techniques, the framework enables a reliable mapping from high-level structured descriptions to low-level quantum semantics. This methodology substantially reduces programming complexity and establishes a foundation for scalable and robust quantum software systems.