Bloch vectors for qudits and geometry of entanglement

Details Bloch vectors for qudits and geometry of entanglement Bloch vectors for qudits and geometry of entanglement

2007-06-12

arxiv.org/abs/0706.1743v1

Physics

Quantum Physics

30 pages, 4 figures

Scientific paper

We present three different matrix bases that can be used to decompose density matrices of d--dimensional quantum systems, so-called qudits: the generalized Gell-Mann matrix basis, the polarization operator basis, and the Weyl operator basis. Such a decomposition can be identified with a vector --the Bloch vector, i.e. a generalization of the well known qubit case-- and is a convenient expression for comparison with measurable quantities and for explicit calculations avoiding the handling of large matrices. We consider the important case of an isotropic two--qudit state and decompose it according to each basis. Investigating the geometry of entanglement of special parameterized two--qubit and two--qutrit states, in particular we calculate the Hilbert--Schmidt measure of entanglement, we find that the Weyl operator basis is the optimal choice since it is closely connected to the entanglement of the considered states.

Affiliated with

Also associated with

No associations

Rating

Bloch vectors for qudits and geometry of entanglement does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Bloch vectors for qudits and geometry of entanglement, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Bloch vectors for qudits and geometry of entanglement will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-359941