Multipartite entanglement and high precision metrology

@article{Tth2012MultipartiteEA,
  title={Multipartite entanglement and high precision metrology},
  author={G{\'e}za T{\'o}th},
  journal={Physical Review A},
  year={2012},
  volume={85},
  pages={022322}
}
  • G. Tóth
  • Published 22 June 2010
  • Physics
  • Physical Review A
We present several entanglement criteria in terms of the quantum Fisher information that help to relate various forms of multipartite entanglement to the sensitivity of phase estimation. We show that genuine multipartite entanglement is necessary to reach the maximum sensitivity in some very general metrological tasks using a two-arm linear interferometer. We also show that it is needed to reach the maximum average sensitivity in a certain combination of such metrological tasks. 

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References

SHOWING 1-10 OF 47 REFERENCES
Quantum detection and estimation theory
  • H. Yuen
  • Computer Science
    Proceedings of the IEEE
  • 1978
TLDR
This online revelation quantum detection and estimation theory can be one of the options to accompany you in imitation of having other time.
Probabilistic and Statistical Aspects of Quantum Theory
Foreword to 2nd English edition.- Foreword to 2nd Russian edition.- Preface.- Chapters: I. Statistical Models.- II. Mathematics of Quantum Theory.- III. Symmetry Groups in Quantum Mechanics.- IV.
Phys
  • Rev. A 82, 012337
  • 2010
Phys
  • Rev. A 71, 052302
  • 2005
Phys
  • Rev. Lett. 102, 100401
  • 2009
Proc
  • Natl. Acad. Sci. USA 49, 910
  • 1963
Phys
  • Rev. Lett. 92, 117903
  • 2004
B: At
  • Mol. Opt. Phys. 44, 015501
  • 2011
Phys
  • Rev. Lett. 72, 3439
  • 1994
Phys
  • Rev. A 65, 012107
  • 2001
...
...