2021/07/02 by Vilmart, Renaud
#FOS: Computer and information sciences #FOS: Physical sciences #Logic in Computer Science (cs.LO) #Quantum Physics (quant-ph)
paper · doi:10.48550/arxiv.2107.01186
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.