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Tensoring Positive Maps on Operator Structures

Project description

Uniting mathematical problems in quantum information theory under a common theory

Many important problems in quantum information theory can be formulated in terms of how linear maps between matrix algebras behave under tensor powers. Examples include the distillation problem, local entanglement annihilation and the positive partial transpose squared conjecture. A general theory for solving them has been lacking so far. Funded by the Marie Skłodowska-Curie Actions programme, the TIPTOP project will formulate these problems in terms of abstract operator systems. The aim is to gain a deeper understanding of how the properties of operator system structures affect the properties of linear maps under tensor powers and find settings where only the trivial examples of completely positive and copositive maps stay positive under any tensor power. Ultimately, the project will explore settings where tensorisation problems become easier.


Net EU contribution
€ 196 707,84
Boulevard Du 11 Novembre 1918 Num43
69622 Villeurbanne Cedex

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Auvergne-Rhône-Alpes Rhône-Alpes Rhône
Activity type
Higher or Secondary Education Establishments
Other funding
€ 0,00