Weighted complex projective 2-designs from bases : Optimal state determination by orthogonal measurements

@article{Roy2007WeightedCP,
  title={Weighted complex projective 2-designs from bases : Optimal state determination by orthogonal measurements},
  author={Aidan Roy and A. J. Scott},
  journal={Journal of Mathematical Physics},
  year={2007},
  volume={48},
  pages={072110-072110}
}
We introduce the problem of constructing weighted complex projective 2-designs from the union of a family of orthonormal bases. If the weight remains constant across elements of the same basis, then such designs can be interpreted as generalizations of complete sets of mutually unbiased bases, being equivalent whenever the design is composed of d+1 bases in dimension d. We show that, for the purpose of quantum state determination, these designs specify an optimal collection of orthogonal… 
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