Multipartite Asymmetric Quantum Cloning

Details Multipartite Asymmetric Quantum Cloning Multipartite Asymmetric Quantum Cloning

2004-11-24

arxiv.org/abs/quant-ph/0411179v1

Phys. Rev. A 72, 042328 (2005)

Physics

Quantum Physics

5 pages, 2 figures

Scientific paper

10.1103/PhysRevA.72.042328

We investigate the optimal distribution of quantum information over multipartite systems in asymmetric settings. We introduce cloning transformations that take $N$ identical replicas of a pure state in any dimension as input, and yield a collection of clones with non-identical fidelities. As an example, if the clones are partitioned into a set of $M_A$ clones with fidelity $F^A$ and another set of $M_B$ clones with fidelity $F^B$, the trade-off between these fidelities is analyzed, and particular cases of optimal $N \to M_A+M_B$ cloning machines are exhibited. We also present an optimal $1 \to 1+1+1$ cloning machine, which is the first known example of a tripartite fully asymmetric cloner. Finally, it is shown how these cloning machines can be optically realized.

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