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arXiv · 2506.23320

A Denotational Semantics for Quantum Loops

Nicola Assolini·Alessandra Di Pierro
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Abstract

Programming a quantum computer, i.e., implementing quantum algorithms on a quantum processor-based copmputer architecture, is a task that can be addressed (just as for classical computers) at different levels of abstraction. This paper proposes a denotational semantics for high-level quantum programming constructs, focusing on the conceptual meaning of quantum-controlled branching and iteration. We introduce a denotational domain where a mathematical meaning of a quantum control flow with loops can be defined, which reflects the coherent evolution of the quantum system implementing the program.

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Nicola Assolini, Alessandra Di Pierro. 2025-06-29. A Denotational Semantics for Quantum Loops. https://arxiv.org/abs/2506.23320

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