Adptive quantum computation, constant depth quantum circuits and arthur-merlin games

  • Authors:
  • Barbara M. Terhal;David P. DiVincenzo

  • Affiliations:
  • IBM Watson Research Center, Yorktown Heiqhts, NY;IBM Watson Research Center, Yorktown Heiqhts, NY

  • Venue:
  • Quantum Information & Computation
  • Year:
  • 2004

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Abstract

We present evidence that there exist quantum computations that can be carried out in constant depth, using 2-qubit gates, that cannot be simulated classically with high accuracy. We prove that if one can simulate these circuits classically efficiently then BQP ⊆ AM.