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Application of majorization theory to quantum communication

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Majorization relations have long been known to play a key role in relation with quantum entanglement. For instance, they provide a preorder relation between bipartite pure states that implies the existence of a deterministic LOCC transformation between them. They also express a necessary separability condition for bipartite mixed states. In this talk, I will review the recent progress on the role of majorization theory in quantum communication theory, especially for bosonic Gaussian channels. I will exhibit fundamental majorization relations in optical components, such as beam splitters or parametric amplifiers, and will discuss their application in proving fundamental entropy bounds in quantum channels.

This talk is part of the CQIF Seminar series.

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