We investigate the universal asymmetric cloning of states in a Hilbert space of arbitrary dimension. We derive the class of optimal and fully asymmetric $1\rightarrow 3$ cloners, which produce three copies, each having a different fidelity. A simple parametric expression for the maximum achievable cloning fidelity triplets is then provided. As a side-product, we also prove the optimality of the $1\rightarrow 2$ asymmetric cloning machines that have been proposed in the literature.We investigate the universal asymmetric cloning of states in a Hilbert space of arbitrary dimension. We derive the class of optimal and fully asymmetric $1\rightarrow 3$ cloners, which produce three copies, each having a different fidelity. A simple parametric expression for the maximum achievable cloning fidelity triplets is then provided. As a side-product, we also prove the optimality of the $1\rightarrow 2$ asymmetric cloning machines that have been proposed in the literature.

Quantum Information and ComputationNov 1, 200511 citations

The asymmetric quantum cloning region

Ion Nechita, Clément Pellegrini, Denis Rochette

arXiv:2209.11999Letters in Mathematical PhysicsJun 26, 20235 citations

Cloning quantum entanglement in arbitrary dimensions (6 pages)

Nicolas J. Cerf, Patrick Navez, Evgueni Karpov

Physical Review AJan 1, 20052 citations

We investigate the universal asymmetric cloning of states in a Hilbert space of arbitrary dimension. We derive the class of optimal and fully asymmetric

1\rightarrow 3

cloners, which produce three copies, each having a different fidelity. A simple parametric expression for the maximum achievable cloning fidelity triplets is then provided. As a side-product, we also prove the optimality of the

1\rightarrow 2

asymmetric cloning machines that have been proposed in the literature.