Strategies for braiding and ground state preparation in digital quantum hardware

Herasymenko, Y. (2022)

Doctoral Thesis

With the help of quantum mechanics, digital quantum hardware may be able to tackle some of the problems that are too difficult for ordinary computers. But despite these expectations and the ongoing effort of the research community, reliable quantum computers are not yet realized in a lab setting. The optimal strategies for early applications of such special hardware are not settled either. The present thesis addresses these issues of implementing and harnessing quantum computers.

Firstly, several strategies are introduced to implement and characterize digital quantum hardware using the technique called braiding. Two realizations are considered: the edge modes of topological superconductors and the parafermionic modes in Fractional Quantum Hall materials.

Secondly, this work explores applying quantum computers to prepare simulated ground states (lowest-energy configurations) of complex quantum systems. To this end, several new techniques are presented in the context of variational quantum algorithms, simulated cooling, and quantum control theory.

• Quantum computers
• Topological matter
• Braiding
• Ground state preparation
• NISQ

• All authors: Herasymenko, Y.
• Supervisor: Beenakker, C.W.J.
• Co-supervisor: O'Brien, T.E.
• Committee: Gefen, Y.; Terhal, B.M.; Aarts, J.; Löffler, W.; Zaanen, J.
• Qualification: Doctor (dr.)
• Awarding Institution: Leiden Institute of Physics (LION), Faculty of Science, Leiden University
• Date: 2022-04-20
• Title of host publication: Casimir PhD Series
• ISBN (print): 9789085935216
• Name: 2022-10