State preparation by shallow circuits using feed forward

HIGHLIGHTS

  • What: The authors show that any instantaneous quantum polynomial-time (IQP) circuit has an LAQCC implementation. Using this notion of complexity the authors show that any state preparable by an LAQCC* circuit is also preparable by a PostQPoly circuit, the class of circuits of polynomial depth with an additional post-selection gate. The authors provide a constant-depth LAQCC circuit below their conjectured bound already for constant k. The authors show show that there exist LAQCC circuits that can not be weakly simulated in Section 3.4.
  • Who: Harry Buhrman et al. from the , and . . .

     

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