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arXiv:quant-ph/0310003quant-ph

Quantum-state tomography for spin-l systems

Holger F. Hofmann, Shigeki Takeuchi

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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.

arXiv comments
10 pages, including 2 tables, minor modifications in section II, final version for publication in Phys. Rev. A
Journal reference
Phys. Rev. A 69, 042108 (2004)
DOI
doi:10.1103/PhysRevA.69.042108
Subjects
quant-phQuantum Physics

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