dorsal/arxiv
View SchemaSolution to the King's problem with observables being not mutually complementary
| Authors | Minoru Horibe, Akihisa Hayashi, Takaaki Hashimoto |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0410206 |
| URL | https://arxiv.org/abs/quant-ph/0410206 |
| DOI | 10.1103/PhysRevA.71.032337 |
| Journal | Phys.Rev. A 71(2005)032337 |
Abstract
We investigate the King's problem of the measurement of operators $\vec{n}_k \nobreak \cdot \nobreak \vec{\sigma} (k=1,2,3)$ instead of the three Cartesian components $\sigma_x$, $\sigma_y$ and $\sigma_z$ of the spin operator $\vec{\sigma}$. Here, $\vec{n}_k$ are three-dimensional real unit vectors. We show the condition over three vectors $\vec{n}_k$ to ascertain the result for measurement of any one of these operators.
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"abstract": "We investigate the King\u0027s problem of the measurement of operators $\\vec{n}_k\n\\nobreak \\cdot \\nobreak \\vec{\\sigma} (k=1,2,3)$ instead of the three Cartesian\ncomponents $\\sigma_x$, $\\sigma_y$ and $\\sigma_z$ of the spin operator\n$\\vec{\\sigma}$. Here, $\\vec{n}_k$ are three-dimensional real unit vectors. We\nshow the condition over three vectors $\\vec{n}_k$ to ascertain the result for\nmeasurement of any one of these operators.",
"arxiv_id": "quant-ph/0410206",
"authors": [
"Minoru Horibe",
"Akihisa Hayashi",
"Takaaki Hashimoto"
],
"categories": [
"quant-ph"
],
"doi": "10.1103/PhysRevA.71.032337",
"journal_ref": "Phys.Rev. A 71(2005)032337",
"title": "Solution to the King\u0027s problem with observables being not mutually complementary",
"url": "https://arxiv.org/abs/quant-ph/0410206"
},
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