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Cloning the entanglement of a pair of quantum bits

Quantum Physics 2009-11-10 v2

Abstract

It is shown that any quantum operation that perfectly clones the entanglement of all maximally-entangled qubit pairs cannot preserve separability. This ``entanglement no-cloning'' principle naturally suggests that some approximate cloning of entanglement is nevertheless allowed by quantum mechanics. We investigate a separability-preserving optimal cloning machine that duplicates all maximally-entangled states of two qubits, resulting in 0.285 bits of entanglement per clone, while a local cloning machine only yields 0.060 bits of entanglement per clone.

Keywords

Cite

@article{arxiv.quant-ph/0302173,
  title  = {Cloning the entanglement of a pair of quantum bits},
  author = {Louis-Philippe Lamoureux and Patrick Navez and Jaromir Fiurasek and Nicolas J. Cerf},
  journal= {arXiv preprint arXiv:quant-ph/0302173},
  year   = {2009}
}

Comments

4 pages Revtex, 2 encapsulated Postscript figures, one added author