Bonn 2025 – scientific programme

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QI: Fachverband Quanteninformation

QI 5: Quantum Entanglement I

QI 5.1: Invited Talk

Monday, March 10, 2025, 17:00–17:30, HS IX

Representation Theory for Quantum Algorithms and Protocols — Dmitry Grinko, •Adam Burchardt, and Maris Ozols — QuSoft, University of Amsterdam, Centrum Wiskunde & Informatica, Amsterdam, The Netherlands

In this talk, we highlight the relevance of representation theory in various quantum information tasks. Our focus is on the (mixed) Schur transform and its applications. In particular, we present an efficient quantum circuit for implementing the mixed Schur transform. We then demonstrate how this transform can be applied to Port-Based Teleportation (PBT). Specifically, we provide efficient quantum circuits for optimal measurements in various PBT schemes, which use the mixed Schur transform as a subroutine. This presentation is based on two recent papers: arXiv:2310.02252 and arXiv:2312.03188.

Keywords: representation theory; Schur Weyl duality; port based teleportation; quantum circuit; quantum algorithm