Quantum Multiple-Valued Decision Diagrams in Graphical Calculi
Quantum Physics
2021-07-05 v1 Logic in Computer Science
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.
Cite
@article{arxiv.2107.01186,
title = {Quantum Multiple-Valued Decision Diagrams in Graphical Calculi},
author = {Renaud Vilmart},
journal= {arXiv preprint arXiv:2107.01186},
year = {2021}
}