Entanglement-Assisted Local Manipulation of Pure Quantum States

  title={Entanglement-Assisted Local Manipulation of Pure Quantum States},
  author={Daniel Jonathan and Martin Bodo Plenio},
  journal={Physical Review Letters},
We demonstrate that local transformations on a composite quantum system can be enhanced in the presence of certain entangled states. These extra states act much like catalysts in a chemical reaction: they allow otherwise impossible local transformations to be realized, without being consumed in any way. In particular, we show that this effect can considerably improve the efficiency of entanglement concentration procedures for finite states. 

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  • 1999
  • Rev. Lett. 83, 436
  • 1999
  • Rev. A 57, 1619
  • 1998
  • Phys. 39, 431
  • 1998
An Introduction to Linear Programming (J
  • 1983
  • Rev. A 60, 1912
  • 1999
  • Rev. Lett. 83, 1046
  • 1999