License: Creative Commons Attribution 4.0 International license (CC BY 4.0)
When quoting this document, please refer to the following
DOI: 10.4230/LIPIcs.TYPES.2022.3
URN: urn:nbn:de:0030-drops-184468
URL: http://dagstuhl.sunsite.rwth-aachen.de/volltexte/2023/18446/
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Colledan, Andrea ; Dal Lago, Ugo

On Dynamic Lifting and Effect Typing in Circuit Description Languages

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LIPIcs-TYPES-2022-3.pdf (0.8 MB)

Abstract

In the realm of quantum computing, circuit description languages represent a valid alternative to traditional QRAM-style languages. They indeed allow for finer control over the output circuit, without sacrificing flexibility nor modularity. We introduce a generalization of the paradigmatic lambda-calculus Proto-Quipper-M, which models the core features of the quantum circuit description language Quipper. The extension, called Proto-Quipper-K, is meant to capture a very general form of dynamic lifting. This is made possible by the introduction of a rich type and effect system in which not only computations, but also the very types are effectful. The main results we give for the introduced language are the classic type soundness results, namely subject reduction and progress.

BibTeX - Entry

@InProceedings{colledan_et_al:LIPIcs.TYPES.2022.3,
  author =	{Colledan, Andrea and Dal Lago, Ugo},
  title =	{{On Dynamic Lifting and Effect Typing in Circuit Description Languages}},
  booktitle =	{28th International Conference on Types for Proofs and Programs (TYPES 2022)},
  pages =	{3:1--3:21},
  series =	{Leibniz International Proceedings in Informatics (LIPIcs)},
  ISBN =	{978-3-95977-285-3},
  ISSN =	{1868-8969},
  year =	{2023},
  volume =	{269},
  editor =	{Kesner, Delia and P\'{e}drot, Pierre-Marie},
  publisher =	{Schloss Dagstuhl -- Leibniz-Zentrum f{\"u}r Informatik},
  address =	{Dagstuhl, Germany},
  URL =		{https://drops.dagstuhl.de/opus/volltexte/2023/18446},
  URN =		{urn:nbn:de:0030-drops-184468},
  doi =		{10.4230/LIPIcs.TYPES.2022.3},
  annote =	{Keywords: Circuit-Description Languages, \lambda-calculus, Dynamic lifting, Type and effect systems}
}

Keywords: Circuit-Description Languages, λ-calculus, Dynamic lifting, Type and effect systems
Collection: 28th International Conference on Types for Proofs and Programs (TYPES 2022)
Issue Date: 2023
Date of publication: 28.07.2023

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