On Approximately Symmetric Informationally Complete Positive Operator-Valued Measures and Related Systems of Quantum States

@inproceedings{Klappenecker2008OnAS,
  title={On Approximately Symmetric Informationally Complete Positive Operator-Valued Measures and Related Systems of Quantum States},
  author={Andreas Klappenecker},
  year={2008}
}
We address the problem of constructing positive operator-valued measures (POVMs) in finite dimension n consisting of n2 operators of rank one which have an inner product close to uniform. This is motivated by the related question of constructing symmetric informationally complete POVMs (SIC-POVMs) for which the inner products are perfectly uniform. However, SIC-POVMs are notoriously hard to construct and despite some success of constructing them numerically, there is no analytic construction… CONTINUE READING

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