CORDIS Project
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This project explores the behavior of linear maps in quantum information theory, particularly under tensor powers. It aims to identify conditions under which certain maps maintain positivity, contributing to the understanding of quantum communication and entanglement.
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 (fundamental for quantum communication), the problem of local entanglement annihilation (important for entanglement distribution in quantum networks), and the PPT squared conjecture important for (quantum key repeaters).
Despite their importance for quantum communication, these problems are wide open, and…
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