Quantum-state tomography for spin-l systems
Quantum Physics
2009-11-10 v3
Abstract
We show that the density matrix of a spin-l system can be described entirely in terms of the measurement statistics of projective spin measurements along a minimum of 4l+1 different spin directions. It is thus possible to represent the complete quantum statistics of any N-level system within the spherically symmetric three dimensional space defined by the spin vector. An explicit method for reconstructing the density matrix of a spin-1 system from the measurement statistics of five non-orthogonal spin directions is presented and the generalization to spin-l systems is discussed.
Keywords
Cite
@article{arxiv.quant-ph/0310003,
title = {Quantum-state tomography for spin-l systems},
author = {Holger F. Hofmann and Shigeki Takeuchi},
journal= {arXiv preprint arXiv:quant-ph/0310003},
year = {2009}
}
Comments
10 pages, including 2 tables, minor modifications in section II, final version for publication in Phys. Rev. A