dorsal/arxiv
View SchemaA Zoology of Bell inequalities resistant to detector inefficiency
| Authors | Serge Massar, Stefano Pironio, Jeremie Roland, Bernard Gisin |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0205130 |
| URL | https://arxiv.org/abs/quant-ph/0205130 |
| DOI | 10.1103/PhysRevA.66.052112 |
| Journal | Phys. Rev. A 66, 052112 (2002) |
Abstract
We derive both numerically and analytically Bell inequalities and quantum measurements that present enhanced resistance to detector inefficiency. In particular we describe several Bell inequalities which appear to be optimal with respect to inefficient detectors for small dimensionality d=2,3,4 and 2 or more measurement settings at each side. We also generalize the family of Bell inequalities described in Collins et all (Phys. Rev. Lett. 88, 040404) to take into account the inefficiency of detectors. In addition we consider the possibility for pairs of entangled particles to be produced with probability less than one. We show that when the pair production probability is small, one must in general use different Bell inequalities than when the pair production probability is high.
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"abstract": "We derive both numerically and analytically Bell inequalities and quantum\nmeasurements that present enhanced resistance to detector inefficiency. In\nparticular we describe several Bell inequalities which appear to be optimal\nwith respect to inefficient detectors for small dimensionality d=2,3,4 and 2 or\nmore measurement settings at each side. We also generalize the family of Bell\ninequalities described in Collins et all (Phys. Rev. Lett. 88, 040404) to take\ninto account the inefficiency of detectors. In addition we consider the\npossibility for pairs of entangled particles to be produced with probability\nless than one. We show that when the pair production probability is small, one\nmust in general use different Bell inequalities than when the pair production\nprobability is high.",
"arxiv_id": "quant-ph/0205130",
"authors": [
"Serge Massar",
"Stefano Pironio",
"Jeremie Roland",
"Bernard Gisin"
],
"categories": [
"quant-ph"
],
"doi": "10.1103/PhysRevA.66.052112",
"journal_ref": "Phys. Rev. A 66, 052112 (2002)",
"title": "A Zoology of Bell inequalities resistant to detector inefficiency",
"url": "https://arxiv.org/abs/quant-ph/0205130"
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