dorsal/arxiv
View SchemaRelativistic entanglement and Bell's inequality
| Authors | Doyeol Ahn, Hyuk-jae Lee, Young Hoon Moon, Sung Woo Hwang |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0209164 |
| URL | https://arxiv.org/abs/quant-ph/0209164 |
| DOI | 10.1103/PhysRevA.67.012103 |
| Journal | Physical Review A 67, 012103 (2003) |
Abstract
In this paper, the Lorentz transformation of entangled Bell states seen by a moving observer is studied. The calculated Bell observable for 4 joint measurements turns out to give a universal value, $<\hat{a}\otimes\vec{b}>+<\hat{a}\otimes\vec{b}'>+\lang le\hat{a}'\otimes\vec{b}> -<\hat{a}'\otimes\vec{b}'>=\frac{2}{\sqrt{2-\beta^2}}(1+\sqrt{1-\be ta^2})$, where $\hat{a}, \hat{b}$ are the relativistic spin observables derived from the Pauli-Lubanski pseudo vector and $\beta=\frac{v}{c}$. We found that the degree of violation of the Bell's inequality is decreasing with increasing velocity of the observer and the Bell's inequality is satisfied in the ultra-relativistic limit where the boost speed reaches the speed of light.
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"abstract": "In this paper, the Lorentz transformation of entangled Bell states seen by a\nmoving observer is studied. The calculated Bell observable for 4 joint\nmeasurements turns out to give a universal value,\n$\u003c\\hat{a}\\otimes\\vec{b}\u003e+\u003c\\hat{a}\\otimes\\vec{b}\u0027\u003e+\\lang\nle\\hat{a}\u0027\\otimes\\vec{b}\u003e\n-\u003c\\hat{a}\u0027\\otimes\\vec{b}\u0027\u003e=\\frac{2}{\\sqrt{2-\\beta^2}}(1+\\sqrt{1-\\be ta^2})$,\nwhere $\\hat{a}, \\hat{b}$ are the relativistic spin observables derived from the\nPauli-Lubanski pseudo vector and $\\beta=\\frac{v}{c}$.\n We found that the degree of violation of the Bell\u0027s inequality is decreasing\nwith increasing velocity of the observer and the Bell\u0027s inequality is satisfied\nin the ultra-relativistic limit where the boost speed reaches the speed of\nlight.",
"arxiv_id": "quant-ph/0209164",
"authors": [
"Doyeol Ahn",
"Hyuk-jae Lee",
"Young Hoon Moon",
"Sung Woo Hwang"
],
"categories": [
"quant-ph"
],
"doi": "10.1103/PhysRevA.67.012103",
"journal_ref": "Physical Review A 67, 012103 (2003)",
"title": "Relativistic entanglement and Bell\u0027s inequality",
"url": "https://arxiv.org/abs/quant-ph/0209164"
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