Aug 7, 2023 · Graph theory is a branch of mathematics that specializes in showing real-world relationships between objects as graphs. Each graph has nodes (points) and edges (the lines between those points). You can see elements of graph theory at work every day, each time you use a computer.

Jun 15, 2023 · Graph states have enabled quantum information processing to be united with otherwise disparate fields of mathematics, providing direct connections with graph theory, percolation theory and topology. Graph theory provides powerful tools for conceptualising the flow of quantum information and associating quantum operations with graph transformations.

A graph state is a multipartite quantum state defined by a (directed) graph G in which each node v ∈ V represents a qubit and each edge e ∈ E represents an interaction between the two qubits connected by the edge.

In this work, we propose a new technique aimed at efficiently simulating quantum circuits that are subject to errors. In particular, we describe new graph-based algorithms implemented in the simulator QuIDDPro/D.

May 7, 2020 · We show that the proposed method is faithful in quantifying the classical defects in prepared multiphoton quantum networks. Our results provide novel identification of generic quantum networks and nonclassical correlations in graph states.

Mar 10, 2023 · Leveraging logic modeling in quantum computing has many benefits, including complexity reduction and quantum algorithms for systems biology tasks. To showcase the applicability of our approach to systems biology tasks, we implemented a model of mammalian cortical development.

In this work we propose a framework, which combines supervised machine learning on re-lational databases with graph neural networks and quantum graph neural network-based deep learning.

In this work, we study the following Graph State Transfer (GST) algorithm for distributing graph states across a quantum network. Suppose a set of network nodes desires to share a specific graph state, with one qubit from the graph state in each network node.

Sep 12, 2023 · After reviewing the related work, this article proposes a unified metamodel for modelling quantum circuits, together with five strategies for its use and some examples of its application.

Sep 28, 2023 · Drawing inspiration from the foundational work of Gerard 't Hooft in quantum mechanics and Leonhard Euler's pioneering contributions to graph theory, we delve into the role and impact of...