Cloning quantum entanglement in arbitrary dimensions

Details Cloning quantum entanglement in arbitrary dimensions Cloning quantum entanglement in arbitrary dimensions

2005-03-16

arxiv.org/abs/quant-ph/0503148v1

Phys. Rev. A 72, 042314 (2005)

Physics

Quantum Physics

6 pages, 3 figures

Scientific paper

10.1103/PhysRevA.72.042314

We have found a quantum cloning machine that optimally duplicates the entanglement of a pair of $d$-dimensional quantum systems. It maximizes the entanglement of formation contained in the two copies of any maximally-entangled input state, while preserving the separability of unentangled input states. Moreover, it cannot increase the entanglement of formation of all isotropic states. For large $d$, the entanglement of formation of each clone tends to one half the entanglement of the input state, which corresponds to a classical behavior. Finally, we investigate a local entanglement cloner, which yields entangled clones with one fourth the input entanglement in the large-$d$ limit.

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