A Tutorial Introduction to Quantum Circuit Programming in Dependently Typed Proto-Quipper

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Abstract

We introduce dependently typed Proto-Quipper, or Proto-Quipper-D for short, an experimental quantum circuit programming language with linear dependent types. We give several examples to illustrate how linear dependent types can help in the construction of correct quantum circuits. Specifically, we show how dependent types enable programming families of circuits, and how dependent types solve the problem of type-safe uncomputation of garbage qubits. We also discuss other language features along the way.

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Fu, P., Kishida, K., Ross, N. J., & Selinger, P. (2020). A Tutorial Introduction to Quantum Circuit Programming in Dependently Typed Proto-Quipper. In Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics) (Vol. 12227 LNCS, pp. 153–168). Springer. https://doi.org/10.1007/978-3-030-52482-1_9

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