Alternative representation of N \times N density matrix

Details Alternative representation of N \times N density matrix Alternative representation of N \times N density matrix

2006-02-06

arxiv.org/abs/quant-ph/0602065v1

Physics

Quantum Physics

22 pages, 7 figures

Scientific paper

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

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