dorsal/arxiv
View SchemaViolation of a Bell-like Inequality in Neutron Optical Experiments: Quantum contextuality
| Authors | Yuji Hasegawa, Rudolf Loidl, Gerald Badurek, Matthias Baron, Helmut Rauch |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0311121 |
| URL | https://arxiv.org/abs/quant-ph/0311121 |
| DOI | 10.1088/1464-4266/6/3/002 |
Abstract
We report a single-neutron optical experiment to demonstrate the violation of a Bell-like inequality. Entanglement is achieved not between particles, but between the degrees of freedom, in this case, for a single-particle. The spin-{\small 1/2} property of neutrons are utilized. The total wave function of the neutron is described in a tensor product Hilbert space. A Bell-like inequality is derived not by a non-locality but by a contextuality. Joint measurements of the spinor and the path properties lead to the violation of a Bell-like inequality. Manipulation of the wavefunction in one Hilbert space influences the result of the measurement in the other Hilbert space. A discussion is given on the quantum contextuality and an entanglement-induced correlation in our experiment.
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"abstract": "We report a single-neutron optical experiment to demonstrate the violation of\na Bell-like inequality. Entanglement is achieved not between particles, but\nbetween the degrees of freedom, in this case, for a single-particle. The\nspin-{\\small 1/2} property of neutrons are utilized. The total wave function of\nthe neutron is described in a tensor product Hilbert space. A Bell-like\ninequality is derived not by a non-locality but by a contextuality. Joint\nmeasurements of the spinor and the path properties lead to the violation of a\nBell-like inequality. Manipulation of the wavefunction in one Hilbert space\ninfluences the result of the measurement in the other Hilbert space. A\ndiscussion is given on the quantum contextuality and an entanglement-induced\ncorrelation in our experiment.",
"arxiv_id": "quant-ph/0311121",
"authors": [
"Yuji Hasegawa",
"Rudolf Loidl",
"Gerald Badurek",
"Matthias Baron",
"Helmut Rauch"
],
"categories": [
"quant-ph"
],
"doi": "10.1088/1464-4266/6/3/002",
"title": "Violation of a Bell-like Inequality in Neutron Optical Experiments: Quantum contextuality",
"url": "https://arxiv.org/abs/quant-ph/0311121"
},
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