Error mitigation via stabilizer measurement emulation

  1. A. Greene,
  2. M. Kjaergaard,
  3. M. E. Schwartz,
  4. G. O. Samach,
  5. A. Bengtsson,
  6. M. O'Keeffe,
  7. D. K. Kim,
  8. M. Marvian,
  9. A. Melville,
  10. B. M. Niedzielski,
  11. A. Vepsalainen,
  12. R. Winik,
  13. J. Yoder,
  14. D. Rosenberg,
  15. S. Lloyd,
  16. T. P. Orlando,
  17. I. Marvian,
  18. S. Gustavsson,
  19. and W. D. Oliver
Dynamical decoupling (DD) is a widely-used quantum control technique that takes advantage of temporal symmetries in order to partially suppress quantum errors without the need resource-intensive error detection and correction protocols. This and other open-loop error mitigation techniques are critical for quantum information processing in the era of Noisy Intermediate-Scale Quantum technology. However, despite its utility, dynamical decoupling does not address errors which occur at unstructured times during a circuit, including certain commonly-encountered noise mechanisms such as cross-talk and imperfectly calibrated control pulses. Here, we introduce and demonstrate an alternative technique – `quantum measurement emulation‘ (QME) – that effectively emulates the measurement of stabilizer operators via stochastic gate application, leading to a first-order insensitivity to coherent errors. The QME protocol enables error suppression based on the stabilizer code formalism without the need for costly measurements and feedback, and it is particularly well-suited to discrete coherent errors that are challenging for DD to address.
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