Quantum-state tomography for spin-l systems

Physical Review A. Atomic, Molecular, and Optical Physics Volume 69 Issue 4 Page 042108-1-042108-8 published_at 2004-04-23
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Title ( eng )
Quantum-state tomography for spin-l systems
Creator
Takeuchi Shigeki
Source Title
Physical Review A. Atomic, Molecular, and Optical Physics
Volume 69
Issue 4
Start Page 042108-1
End Page 042108-8
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 threedimensional 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 nonorthogonal spin directions is presented and the generalization to spin-l systems is discussed.
Language
eng
Resource Type journal article
Publisher
American Physical Society
Date of Issued 2004-04-23
Rights
Copyright (c) 2004 American Physical Society.
Publish Type Version of Record
Access Rights open access
Source Identifier
[ISSN] 1094-1622
[DOI] 10.1103/PhysRevA.69.042108
[NCID] AA10764867
[DOI] http://dx.doi.org/10.1103/PhysRevA.69.042108