High-level quantum structured programs as quantum registers compositions

2026-08-04

AI Summary

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.

Abstract

Current quantum programs are mainly designed at the level of quantum gates acting on individual qubits; on a large scale and for complex problems this may involve a high cognitive load on the programmer, making the program specification nontrivial and error-prone. In this context, providing quantum programming with higher abstraction mechanisms will assist in making this task more manageable and robust against design errors. In this work, a conceptual framework is addressed following the notion of the whole quantum computation as a structure composed of quantum registers representing each an undivided entity. Thus, computation progresses through semantically well-defined transformations that act on, or entangle, quantum registers, thereby modifying the global state. Ultimately, the program reaches the desired state by following a specific composition strategy. With this in mind, high-level syntax is presented through an algebraic formalism that bridges them with their low-level semantics. Proposed syntax is based on certain well-know operations used on quantum algorithms that apply phase shifts upon logical condition satisfaction or leverage on parallel evaluation. Based solely on the formalized operations, a quantum satisfiability modulo theories (SMT) solver can be designed. At its core, this work contributes to establishing some methodological principles towards realizing a high-level quantum structured programming.

Problem

• quantum programming
• high-level abstraction
• quantum registers
• structured programming
• cognitive load

Innovation

• quantum structured programming
• quantum registers
• high-level quantum abstraction
• algebraic formalism
• quantum SMT solver