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Quantum Multiple-Valued Decision Diagrams in Graphical Calculi


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, measurementbased 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 ZHdiagram, 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.
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hal-03277262 , version 1 (02-07-2021)



Renaud Vilmart. Quantum Multiple-Valued Decision Diagrams in Graphical Calculi. MFCS 2021 - 46th International Symposium on Mathematical Foundations of Computer Science, Aug 2021, Tallinn, Estonia. pp.89:1--89:15, ⟨10.4230/LIPIcs.MFCS.2021.89⟩. ⟨hal-03277262⟩
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