Bloch vectors for qudits and geometry of entanglement
| dc.creator | Bertlmann, Reinhold A. | |
| dc.creator | Krammer, Philipp | |
| dc.date | 2007-06-12 | |
| dc.date.accessioned | 2026-07-07T08:05:20Z | |
| dc.date.available | 2026-07-07T08:05:20Z | |
| dc.description | 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. | |
| dc.description | 30 pages, 4 figures | |
| dc.identifier | https://arxiv.org/abs/0706.1743 | |
| dc.identifier | http://arxiv.org/abs/0706.1743 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/130252 | |
| dc.subject | Quantum Physics | |
| dc.title | Bloch vectors for qudits and geometry of entanglement | |
| dc.type | text |