ACCESS
Algebraic Coding and Cryptography
Seminar Series
Online Event
ACCESS is a joint effort designed to highlight world-class research in coding theory, cryptography, and related areas and to encourage collaboration among its participants.
Next seminar
November 05
November 05
Markus Grassl
University of Gdansk, Poland
University of Gdansk, Poland
Quantum Codes with and without Entanglement Assistance
Abstract. The talk discusses connections between quantum error-correcting codes (QECCs) and algebraic coding theory, looking at the problem from both sides. A general quantum error-correcting code is a subspace of a complex Hilbert space that allows to protect quantum information against certain errors. Using the so-called stabilizer formalism, we illustrate how a subclass of QECCs can be obtained using algebraic coding theory. We will highlight some direct and indirect construction methods, and related new questions in classical coding theory. The connection of classical codes to so-called entanglement-assisted quantum codes will also be addressed. In particular we will consider the role of maximally entangled quantum states as an additional resource, and how they can help to improve the parameters of unassisted quantum codes.
The talk includes a short introduction to the relevant concepts of quantum mechanics.
Biography. Markus Grassl received the Diploma degree in computer science and the Ph.D. degree from the Fakultät für Informatik, Universität Karlsruhe (TH), Germany, in 1994 and 2001, respectively. He held positions at Universität Karlsruhe, the Institute for Quantum Optics and Quantum Information in Innsbruck, the Centre for Quantum Technologies in Singapore, and the University of Erlangen as well as the Max Planck Institute for the Science of Light in Erlangen. Since 2019, he has been a Senior Scientist with the International Centre for Theory of Quantum Technologies, University of Gdansk, Poland.
His research interests include algebraic methods in quantum information science, focusing on constructions for various types of quantum error-correcting codes. For 25 years, he has been contributing to the algorithms for coding theory in the computer algebra system Magma. He maintains the online tables www.codetables.de of good block quantum error-correcting codes and good linear block codes