Multi Port-Based Teleportation - A Group Theoretic Approach

Explore a 59-minute lecture on multi port-based teleportation using a group theoretic approach, delivered by Dr. Piotr Kopszak from the University of Wrocław. Delve into the concept of quantum teleportation and its importance in quantum information theory, focusing on the innovative port-based teleportation (PBT) technique that eliminates the need for unitary correction. Examine how PBT protocols can teleport multiple qudit states by utilizing a larger number of entangled pairs. Investigate the mathematical foundations of this approach, including the study of the commutant of U^(n-k) ⊗ U*^k transformations and the application of representation theory for the symmetric group. Gain insights into the asymptotic limits of faithful qudit state teleportation and the role of symmetries in describing these protocols. This seminar, part of the Quantum Information and Quantum Computing Seminars series at Centrum Fizyki Teoretycznej PAN, was presented on May 10, 2023.