dorsal/arxiv
View SchemaCloning quantum entanglement in arbitrary dimensions
| Authors | E. Karpov, P. Navez, N. J. Cerf |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0503148 |
| URL | https://arxiv.org/abs/quant-ph/0503148 |
| DOI | 10.1103/PhysRevA.72.042314 |
| Journal | Phys. Rev. A 72, 042314 (2005) |
Abstract
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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"abstract": "We have found a quantum cloning machine that optimally duplicates the\nentanglement of a pair of $d$-dimensional quantum systems. It maximizes the\nentanglement of formation contained in the two copies of any\nmaximally-entangled input state, while preserving the separability of\nunentangled input states. Moreover, it cannot increase the entanglement of\nformation of all isotropic states. For large $d$, the entanglement of formation\nof each clone tends to one half the entanglement of the input state, which\ncorresponds to a classical behavior. Finally, we investigate a local\nentanglement cloner, which yields entangled clones with one fourth the input\nentanglement in the large-$d$ limit.",
"arxiv_id": "quant-ph/0503148",
"authors": [
"E. Karpov",
"P. Navez",
"N. J. Cerf"
],
"categories": [
"quant-ph"
],
"doi": "10.1103/PhysRevA.72.042314",
"journal_ref": "Phys. Rev. A 72, 042314 (2005)",
"title": "Cloning quantum entanglement in arbitrary dimensions",
"url": "https://arxiv.org/abs/quant-ph/0503148"
},
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