How powerful is adiabatic quantum computation?

@article{Dam2001HowPI,
  title={How powerful is adiabatic quantum computation?},
  author={Wim van Dam and Michele Mosca and Umesh V. Vazirani},
  journal={Proceedings 2001 IEEE International Conference on Cluster Computing},
  year={2001},
  pages={279-287}
}
  • W. V. DamM. MoscaU. Vazirani
  • Published 8 October 2001
  • Physics, Computer Science
  • Proceedings 2001 IEEE International Conference on Cluster Computing
The authors analyze the computational power and limitations of the recently proposed 'quantum adiabatic evolution algorithm'. Adiabatic quantum computation is a novel paradigm for the design of quantum algorithms; it is truly quantum in the sense that it can be used to speed up searching by a quadratic factor over any classical algorithm. On the question of whether this new paradigm may be used to efficiently solve NP-complete problems on a quantum computer, we show that the usual query… 

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ZusammenfassungDer Adiabatensatz in der neuen Quantenmechanik wird für den Fall des Punktspektrums in mathematisch strenger Weise bewiesen, wobei er sich auch bei einer vorübergehenden Entartung des