Least-bias state estimation with incomplete unbiased measurements

  title={Least-bias state estimation with incomplete unbiased measurements},
  author={Jaroslav Řeh{\'a}{\vc}ek and Zdeněk Hradil and Yong Siah Teo and Luis L. S{\'a}nchez-Soto and Hui Khoon Ng and Jing Hao Chai and Berthold-Georg Englert},
  journal={Physical Review A},
Measuring incomplete sets of mutually unbiased bases constitutes a sensible approach to the tomography of high-dimensional quantum systems. The unbiased nature of these bases optimizes the uncertainty hypervolume. However, imposing unbiasedness on the probabilities for the unmeasured bases does not generally yield the estimator with the largest von Neumann entropy, a popular figure of merit in this context. Furthermore, this imposition typically leads to mock density matrices that are not even… Expand

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