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arXiv · 2506.16244

A Quantum-Control Lambda-Calculus with Multiple Measurement Bases

Alejandro Díaz-Caro·Nicolas A. Monzon
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Abstract

We introduce Lambda-SX, a typed quantum lambda-calculus that supports multiple measurement bases. By tracking duplicability relative to arbitrary bases within the type system, Lambda-SX enables more flexible control and compositional reasoning about measurements. We formalise its syntax, typing rules, subtyping, and operational semantics, and establish its key meta-theoretical properties. This proof-of-concept shows that support for multiple bases can be coherently integrated into the type discipline of quantum programming languages.

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Alejandro Díaz-Caro, Nicolas A. Monzon. 2025-06-19. A Quantum-Control Lambda-Calculus with Multiple Measurement Bases. https://doi.org/10.1007/978-981-95-3585-9_8

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