Title: Universal Asymmetric Quantum Cloning
Abstract: In this talk, we present the concept of universal asymmetric quantum cloning, which allows the cloning of quantum states up to a certain precision. We study the set of achievable precision and provide a complete description for any dimension and any number of copies. Using representation theory techniques, we construct the corresponding quantum cloners. Surprisingly, our results show that the previous quadratic relations capture only a subset of the achievable precision set.