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Draft:Randomized compiling (quantum computing)

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Randomized compiling is a technique to convert coherent errors into incoherent errors, especially useful for NISQ devices. [1][2]

Coherent errors map pure states to pure states and thus do not result in decoherence. Destroying coherence between Pauli components of the noise channel transforms it into the Pauli channel, meaning all off-diagonal elements of the Pauli transfer matrix[3] vanish. As a result, the remaining errors are uncorrelated Pauli errors, which is the assumption of many techniques.


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References[edit]

  1. ^ Wallman, Joel J.; Emerson, Joseph (18 November 2016). "Noise tailoring for scalable quantum computation via randomized compiling". Physical Review A. 94 (5): 052325. arXiv:1512.01098. Bibcode:2016PhRvA..94e2325W. doi:10.1103/PhysRevA.94.052325. S2CID 119187316.
  2. ^ Hashim, Akel; Naik, Ravi K.; Morvan, Alexis; Ville, Jean-Loup; Mitchell, Bradley; Kreikebaum, John Mark; Davis, Marc; Smith, Ethan; Iancu, Costin; O’Brien, Kevin P.; Hincks, Ian; Wallman, Joel J.; Emerson, Joseph; Siddiqi, Irfan (24 November 2021). "Randomized Compiling for Scalable Quantum Computing on a Noisy Superconducting Quantum Processor". Physical Review X. 11 (4): 041039. arXiv:2010.00215. Bibcode:2021PhRvX..11d1039H. doi:10.1103/PhysRevX.11.041039. S2CID 222090192.
  3. ^ Greenbaum, Daniel (2015). "Introduction to Quantum Gate Set Tomography". arXiv:1509.02921 [quant-ph].