English

Conditional SIC-POVMs

Quantum Physics 2012-02-28 v1 Mathematical Physics math.MP

Abstract

In this paper we examine a generalization of the symmetric informationally complete POVMs. SIC-POVMs are the optimal measurements for full quantum tomography, but if some parameters of the density matrix are known, then the optimal SIC POVM should be orthogonal to a subspace. This gives the concept of the conditional SIC-POVM. The existence is not known in general, but we give a result in the special cases when the diagonal is known of the density matrix.

Cite

@article{arxiv.1202.5741,
  title  = {Conditional SIC-POVMs},
  author = {D. Petz and L. Ruppert and A. Szanto},
  journal= {arXiv preprint arXiv:1202.5741},
  year   = {2012}
}

Comments

12 pages

R2 v1 2026-06-21T20:25:12.489Z