dorsal/arxiv
View SchemaEntanglement and non-locality are different resources
| Authors | Nicolas Brunner, Nicolas Gisin, Valerio Scarani |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0412109 |
| URL | https://arxiv.org/abs/quant-ph/0412109 |
| DOI | 10.1088/1367-2630/7/1/088 |
| Journal | New J. Phys. 7, 88 (2005) |
Abstract
Bell's theorem states that, to simulate the correlations created by measurement on pure entangled quantum states, shared randomness is not enough: some "non-local" resources are required. It has been demonstrated recently that all projective measurements on the maximally entangled state of two qubits can be simulated with a single use of a "non-local machine". We prove that a strictly larger amount of this non-local resource is required for the simulation of pure non-maximally entangled states of two qubits $\ket{\psi(\alpha)}= \cos\alpha\ket{00}+\sin\alpha\ket{11}$ with $0<\alpha\lesssim\frac{\pi}{7.8}$.
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"abstract": "Bell\u0027s theorem states that, to simulate the correlations created by\nmeasurement on pure entangled quantum states, shared randomness is not enough:\nsome \"non-local\" resources are required. It has been demonstrated recently that\nall projective measurements on the maximally entangled state of two qubits can\nbe simulated with a single use of a \"non-local machine\". We prove that a\nstrictly larger amount of this non-local resource is required for the\nsimulation of pure non-maximally entangled states of two qubits\n$\\ket{\\psi(\\alpha)}= \\cos\\alpha\\ket{00}+\\sin\\alpha\\ket{11}$ with\n$0\u003c\\alpha\\lesssim\\frac{\\pi}{7.8}$.",
"arxiv_id": "quant-ph/0412109",
"authors": [
"Nicolas Brunner",
"Nicolas Gisin",
"Valerio Scarani"
],
"categories": [
"quant-ph"
],
"doi": "10.1088/1367-2630/7/1/088",
"journal_ref": "New J. Phys. 7, 88 (2005)",
"title": "Entanglement and non-locality are different resources",
"url": "https://arxiv.org/abs/quant-ph/0412109"
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