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06/16/2023
Towards an induction principle for nested data types
A well-known problem in the theory of dependent types is how to handle s...
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05/12/2022
On the Lambek embedding and the category of product-preserving presheaves
It is well-known that the category of presheaf functors is complete and ...
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04/27/2022
Proto-Quipper with dynamic lifting
Quipper is a functional programming language for quantum computing. Prot...
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04/27/2022
A biset-enriched categorical model for Proto-Quipper with dynamic lifting
Quipper and Proto-Quipper are a family of quantum programming languages ...
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09/13/2021
Generators and Relations for Real Stabilizer Operators
Real stabilizer operators, which are also known as real Clifford operato...
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06/02/2021
Generators and Relations for the Group O_n(ℤ[1/2])
We give a finite presentation by generators and relations for the group ...
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05/28/2021
Generators and relations for U_n(ℤ [1/2, i])
Consider the universal gate set for quantum computing consisting of the ...
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05/17/2020
A tutorial introduction to quantum circuit programming in dependently typed Proto-Quipper
We introduce dependently typed Proto-Quipper, or Proto-Quipper-D for sho...
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04/28/2020
Linear Dependent Type Theory for Quantum Programming Languages
Modern quantum programming languages integrate quantum resources and cla...
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06/13/2018
Dependently Typed Folds for Nested Data Types
We present an approach to develop folds for nested data types using depe...
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06/08/2017