Vebjørn H. Bakkestuen, forfatter på Quantum Hub

Seminar: Fabian Faulstich

Vebjørn H. Bakkestuen on 28. November 2024

It is a pleasure to invite you all to a lecture by Assistant Professor Fabian Faulstich from the Rensselaer Polytechnic Institute (RPI) in New York. The lecture will be given as a part of the Workshop on Quantum Theory: Foundations and Extensions of Density-Functional Theory held the same week.

A practical guide to quantum linear algebra

Abstract: We provide an introductory and practical guide to quantum phase estimation algorithms. We begin with a concise overview of the principles of qubits, focusing on state visualization, measurement intricacies, and their relationship to the classical eigenvalue problem. We introduce the Hadamard test and quantum phase estimation (QPE) as methods for eigenvalue approximation. For both algorithms, we detail their mathematical foundations, implementation steps, and error analyses, demonstrating how precision improves with increased measurements or ancilla qubits. Example simulations are performed using hardware emulators and the IBM Eagle One quantum machine, comparing the two approaches. Finally, we highlight the practical significance of QPE by applying it to the Transverse Field Ising Model, illustrating its utility in quantum physical systems.

The IBM Quantum System One at Rensselaer Polytechnic Institute, unveiled on April 5, 2024. Credit: IBM

About

Fabian has a background in mathematics, physics, and theoretical chemistry with a focus on problems arising from quantum many-body physics. In 2020, he earned his PhD in Applied Mathematics and Theoretical Chemistry from the University of Oslo. Currently, he servers as an Assistant Professor of Mathematics at RPI, where he also holds the Eliza Ricketts Foundation Career Development Chair.

His research focuses on advancing knowledge and methods for quantum many-body problems. His research involves the development, implementation, and mathematical analysis of cutting-edge numerical methods on classical as well as quantum machines.

Time and location

Wednesday December 4th, 11:00 – 12:00
Ellen Gleditschs hus (P35), auditorium PI646

On behalf of the organisers,
Vebjørn H. Bakkestuen
vebjorn.bakkestuen@oslomet.no

Confirmed Participants

Bohle, Oliver – Hylleraas Centre, University of Oslo

Csirik, Mihaly – Oslo Metropolitan University

Corso, Thiago Carvalho – University of Stuttgart

Davidov, Aleksandar – Oslo Metropolitan University

Falmår, Vegard – Oslo Metropolitan University

Faulstich, Fabian – Rensselaer Polytechnic Institute

Giarrusso, Sara – Université Paris-Saclay

Garrigue, Louis – CY Cergy Paris University

Helgaker, Trygve – Hylleraas Centre, University of Oslo

Herbst, Michael – École Polytechnique Fédérale de Lausanne

Jöns, Christian – Max Planck Institute for the Structure and Dynamics of Matter

Kvaal, Simen – Hylleraas Centre, University of Oslo

Koch, Henrik – Norwegian University of Science and Technology

Kristiansen, Håkon – Hylleraas Centre, University of Oslo

Li, Kangbo – Rensselaer Polytechnic Institute

Loos, Pierre-François – CNRS & University of Toulouse

Lotfigolian, Maryam – Oslo Metropolitan University

Oster, Mathias – RWTH Aachen University

Pedersen, Thomas – Hylleraas Centre, University of Oslo

Penz, Markus – Max Planck Institute for the Structure and Dynamics of Matter & Oslo Metropolitan University

Pittalis, Stefano – National Research Council, Institute of Nanoscience, Modena, Italy

Polak, Elias – University of Fribourg

Ruggenthaler, Michael – Max Planck Institute for the Structure and Dynamics of Matter

Schrader, Simon Elias – Hylleraas Centre, University of Oslo

Skogvoll, Vidar – KURT, University of Oslo

Sutter, Sarina – Vrije Universiteit Amsterdam

Tellgren, Erik – Hylleraas Centre, University of Oslo

Zhang, Zhao – Department of Physics, University of Oslo

The list of confirmed participants will be continuously updated.
For any questions regarding the workshop, please see the webpage or contact the organisers.

The organisers

Author: Vebjørn H. Bakkestuen