Asymmetric cloning in quantum information theory
Quantum Physics
2023-10-02 v1
Abstract
This thesis investigates quantum cloning and related quantum entanglement problems using core concepts of representation theory, in particular those associated with the symmetric group. The research explores Schur-Weyl duality and its extensions, which allow efficient representation and manipulation of quantum systems, serving as a valuable tool for quantum information theory. A primary application of Schur-Weyl duality is the quantum cloning problem, which is studied for both the and the more general cases, providing new insights into the constraints imposed by the no-cloning theorem. The investigation extends to a more general quantum entanglement problem on a complete graph.
Cite
@article{arxiv.2309.17229,
title = {Asymmetric cloning in quantum information theory},
author = {Denis Rochette},
journal= {arXiv preprint arXiv:2309.17229},
year = {2023}
}