arXiv:2608.03873

High-level quantum structured programs as quantum registers compositions

David Chamizo, Jose Garcia-Alonso, Juan M. Murillo

quant-phcs.SESubmitted Aug 4, 2026• Announced Aug 5, 2026• 0 citations

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.

Comments: 12 pages, 5 figures, Accepted for publication at IEEE International Conference on Quantum Computing and Engineering 2026 (QSYS track)

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High-level quantum structured programs as quantum registers compositions

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This repository forms part of the technical paper "High-level quantum structured programs as quantum registers compositions", accepted to IEEE International Conference on Quantum Computing and Engineering 2026 (QSYS Track). It is composed of bundles a series of operations proposed in effort towards establishing a high-level quantum structured programming. In particular, a quantum SMT solver can be addressed relying solely on these. Go to file README.md for more details.

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