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arXiv · 2311.01054

A feasible and unitary quantum programming language

Alejandro Díaz-Caro·Emmanuel Hainry·Romain Péchoux·Mário Silva
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Abstract

We introduce a novel quantum programming language featuring higher-order programs and quantum controlflow which ensures that all qubit transformations are unitary. Our language boasts a type system guaranteeingboth unitarity and polynomial-time normalization. Unitarity is achieved by using a special modality forsuperpositions while requiring orthogonality among superposed terms. Polynomial-time normalization isachieved using a linear-logic-based type discipline employing Barber and Plotkin duality along with a specificmodality to account for potential duplications. This type discipline also guarantees that derived values havepolynomial size. Our language seamlessly combines the two modalities: quantum circuit programs upholdunitarity, and all programs are evaluated in polynomial time, ensuring their feasibility.

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Alejandro Díaz-Caro, Emmanuel Hainry, Romain Péchoux, Mário Silva. 2023-11-02. A feasible and unitary quantum programming language. https://arxiv.org/abs/2311.01054

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