English

Alternative representation of N \times N density matrix

Quantum Physics 2007-05-23 v1

Abstract

We use polarization operators known from quantum theory of angular momentum to expand the N×NN \times N dimensional density operators. Thereby, we construct generalized Bloch vectors representing density matrices. We study their properties and derive positivity conditions for any NN. We also apply the procedure to study Bloch vector space for a qubit and a qutrit.

Keywords

Cite

@article{arxiv.quant-ph/0602065,
  title  = {Alternative representation of N \times N density matrix},
  author = {Stanislaw Kryszewski and Mateusz Zachcial},
  journal= {arXiv preprint arXiv:quant-ph/0602065},
  year   = {2007}
}

Comments

22 pages, 7 figures

R2 v1 2026-07-22T19:53:26.639Z