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.2021.89
URN: urn:nbn:de:0030-drops-145295
URL: https://drops.dagstuhl.de/opus/volltexte/2021/14529/
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Vilmart, Renaud

Quantum Multiple-Valued Decision Diagrams in Graphical Calculi

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LIPIcs-MFCS-2021-89.pdf (0.7 MB)


Abstract

Graphical calculi such as the ZH-calculus are powerful tools in the study and analysis of quantum processes, with links to other models of quantum computation such as quantum circuits, measurement-based computing, etc.
A somewhat compact but systematic way to describe a quantum process is through the use of quantum multiple-valued decision diagrams (QMDDs), which have already been used for the synthesis of quantum circuits as well as for verification.
We show in this paper how to turn a QMDD into an equivalent ZH-diagram, and vice-versa, and show how reducing a QMDD translates in the ZH-Calculus, hence allowing tools from one formalism to be used into the other.

BibTeX - Entry

@InProceedings{vilmart:LIPIcs.MFCS.2021.89,
  author =	{Vilmart, Renaud},
  title =	{{Quantum Multiple-Valued Decision Diagrams in Graphical Calculi}},
  booktitle =	{46th International Symposium on Mathematical Foundations of Computer Science (MFCS 2021)},
  pages =	{89:1--89:15},
  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/2021/14529},
  URN =		{urn:nbn:de:0030-drops-145295},
  doi =		{10.4230/LIPIcs.MFCS.2021.89},
  annote =	{Keywords: Quantum Computing, ZH-Calculus, Decision Diagrams}
}

Keywords: Quantum Computing, ZH-Calculus, Decision Diagrams
Collection: 46th International Symposium on Mathematical Foundations of Computer Science (MFCS 2021)
Issue Date: 2021
Date of publication: 18.08.2021


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