Asymmetric cloning in quantum information theory
- URL: http://arxiv.org/abs/2309.17229v1
- Date: Fri, 29 Sep 2023 13:27:45 GMT
- Title: Asymmetric cloning in quantum information theory
- Authors: Denis Rochette
- Abstract summary: The research explores Schur-Weyl duality and its extensions, which allow efficient representation and manipulation of quantum systems.
A primary application of Schur-Weyl duality is the quantum cloning problem, which is studied for both the $1 to 2$ and the more general $1 to N$ cases.
- Score: 0.0
- License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/
- 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 $1 \to 2$ and the more general $1 \to N$ 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.
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