{ "id": "quant-ph/0209164", "version": "v1", "published": "2002-09-30T07:19:22.000Z", "updated": "2002-09-30T07:19:22.000Z", "title": "Relativistic entanglement and Bell's inequality", "authors": [ "Doyeol Ahn", "Hyuk-jae Lee", "Young Hoon Moon", "Sung Woo Hwang" ], "journal": "Physical Review A 67, 012103 (2003)", "doi": "10.1103/PhysRevA.67.012103", "categories": [ "quant-ph" ], "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.", "revisions": [ { "version": "v1", "updated": "2002-09-30T07:19:22.000Z" } ], "analyses": { "keywords": [ "bells inequality", "relativistic entanglement", "joint measurements turns", "pauli-lubanski pseudo vector", "lorentz transformation" ], "tags": [ "journal article" ], "publication": { "publisher": "APS", "journal": "Phys. Rev. A" }, "note": { "typesetting": "TeX", "pages": 0, "language": "en", "license": "arXiv", "status": "editable" } } }