Feb 29, 2012 � Abstract:The graph state formalism offers strong connections between quantum information processing and graph theory.
First, it is shown that any graph is a pivot-minor of a planar graph, and even a pivot minor of a triangular grid, and then it is proved that the�...
Feb 29, 2012 � Abstract. The graph state formalism offers strong connections between quantum information processing and graph theory.
Aug 16, 2024 � PDF | The graph state formalism offers strong connections between quantum information processing and graph theory.
Sep 19, 2019 � In this paper, we construct a universal hypergraph state that only requires X and Z-basis measurements for universal measurement-based quantum�...
Feb 20, 2017 � The study of MBQC was catalysed by the realisation that cluster states are universal for MBQC with (X, Y)-plane and Z measurements.
Graph States, Pivot Minor, and Universality of (X, Z)-Measurements � M. Mhalla ... 2013. TLDR. First, it is shown that any graph is a pivot-minor of a�...
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Here we consider the question whether one graph (source) state can be transformed into another graph (target) state, using a specific set of quantum operations.
We show that pivoting property of graph states cannot be derived from the axioms of the ZX-calculus, and that pivoting does not imply local complementation�...