English

Easy better quantum process tomography

Quantum Physics 2025-03-14 v2

Abstract

Quantum process tomography (QPT), used to estimate the linear map that best describes a quantum operation, is usually performed using a priori assumptions about state preparation and measurement (SPAM), which yield a biased and inconsistent estimator. This estimate can be made more accurate and less biased by incorporating SPAM-calibration data. Unobservable properties of the SPAM operations introduce a small gauge freedom that can be regularized using the a priori SPAM. We give an explicit correction procedure for standard linear-inversion QPT and overcomplete linear-inversion QPT, and describe how to extend it to statistically principled estimators like maximum likelihood estimation.

Keywords

Cite

@article{arxiv.2412.16293,
  title  = {Easy better quantum process tomography},
  author = {Robin Blume-Kohout and Kenneth Rudinger and Timothy Proctor},
  journal= {arXiv preprint arXiv:2412.16293},
  year   = {2025}
}

Comments

v2: Author added; Minor changes