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.MFCS.2021.30
URN: urn:nbn:de:0030-drops-144701
URL: http://dagstuhl.sunsite.rwth-aachen.de/volltexte/2021/14470/
Chardonnet, Kostia ;
Valiron, Benoît ;
Vilmart, Renaud
Geometry of Interaction for ZX-Diagrams
Abstract
ZX-Calculus is a versatile graphical language for quantum computation equipped with an equational theory. Getting inspiration from Geometry of Interaction, in this paper we propose a token-machine-based asynchronous model of both pure ZX-Calculus and its extension to mixed processes. We also show how to connect this new semantics to the usual standard interpretation of ZX-diagrams. This model allows us to have a new look at what ZX-diagrams compute, and give a more local, operational view of the semantics of ZX-diagrams.
BibTeX - Entry
@InProceedings{chardonnet_et_al:LIPIcs.MFCS.2021.30,
author = {Chardonnet, Kostia and Valiron, Beno\^{i}t and Vilmart, Renaud},
title = {{Geometry of Interaction for ZX-Diagrams}},
booktitle = {46th International Symposium on Mathematical Foundations of Computer Science (MFCS 2021)},
pages = {30:1--30:16},
series = {Leibniz International Proceedings in Informatics (LIPIcs)},
ISBN = {978-3-95977-201-3},
ISSN = {1868-8969},
year = {2021},
volume = {202},
editor = {Bonchi, Filippo and Puglisi, Simon J.},
publisher = {Schloss Dagstuhl -- Leibniz-Zentrum f{\"u}r Informatik},
address = {Dagstuhl, Germany},
URL = {https://drops.dagstuhl.de/opus/volltexte/2021/14470},
URN = {urn:nbn:de:0030-drops-144701},
doi = {10.4230/LIPIcs.MFCS.2021.30},
annote = {Keywords: Quantum Computation, Linear Logic, ZX-Calculus, Geometry of Interaction}
}
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Keywords: |
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Quantum Computation, Linear Logic, ZX-Calculus, Geometry of Interaction |
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Collection: |
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46th International Symposium on Mathematical Foundations of Computer Science (MFCS 2021) |
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Issue Date: |
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2021 |
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Date of publication: |
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18.08.2021 |
