English

A geometrical relation between symmetric operators and mutually unbiased operators

Quantum Physics 2013-05-28 v1

Abstract

In this work we study the relation between the set of symmetric operators and the set of mutually unbiased operators from finite plane geometry point of view. Here symmetric operators are generalization of symmetric informationally complete probability-operator measurements (SIC POMs), while mutually unbiased operators are the operator generalization of mutually unbiased bases (MUB). We also discuss the implication of this relation to the particular cases of rank-1 SIC POMs and MUB.

Cite

@article{arxiv.1305.6044,
  title  = {A geometrical relation between symmetric operators and mutually unbiased operators},
  author = {Amir Kalev},
  journal= {arXiv preprint arXiv:1305.6044},
  year   = {2013}
}

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R2 v1 2026-06-22T00:22:46.117Z