dorsal/arxiv
View SchemaQuantum-state tomography for spin-l systems
| Authors | Holger F. Hofmann, Shigeki Takeuchi |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0310003 |
| URL | https://arxiv.org/abs/quant-ph/0310003 |
| DOI | 10.1103/PhysRevA.69.042108 |
| Journal | Phys. Rev. A 69, 042108 (2004) |
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.
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"abstract": "We show that the density matrix of a spin-l system can be described entirely\nin terms of the measurement statistics of projective spin measurements along a\nminimum of 4l+1 different spin directions. It is thus possible to represent the\ncomplete quantum statistics of any N-level system within the spherically\nsymmetric three dimensional space defined by the spin vector. An explicit\nmethod for reconstructing the density matrix of a spin-1 system from the\nmeasurement statistics of five non-orthogonal spin directions is presented and\nthe generalization to spin-l systems is discussed.",
"arxiv_id": "quant-ph/0310003",
"authors": [
"Holger F. Hofmann",
"Shigeki Takeuchi"
],
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"quant-ph"
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"doi": "10.1103/PhysRevA.69.042108",
"journal_ref": "Phys. Rev. A 69, 042108 (2004)",
"title": "Quantum-state tomography for spin-l systems",
"url": "https://arxiv.org/abs/quant-ph/0310003"
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