Student: André Nogueira Ribeiro
Supervisor: Prof. Dr. Fabio Kon (IME-USP)
Co-supervisor: Antonio Jorge Abelem (UFPA)
Abstract
Quantum walks are a powerful algorithmic tool in quantum computing. They have proven to be universal for quantum computation and have provided optimizations in a wide range of applications. Despite all their generality and properties, quantum walks are simple. In particular, discrete-time quantum walks are described by the product of two operators, known as "coin" and "shift", which are sufficient to implement arbitrary quantum algorithms. This project aims to explore quantum walks in the context of quantum networks.
It has been previously demonstrated (Universal Quantum Walk Control Plane for Quantum Networks) that quantum walks can be used to control distributed quantum operations across network nodes, assuming the network nodes have access to ideal quantum gates and memories. In this project, which is an extension of the mentioned paper, we will implement the control plane presented in the paper, taking into account the number of qubits used at each node, the operations that must be performed, and how they will be executed.