dorsal/arxiv
View SchemaEntanglement criteria via the uncertainty relations in su(2) and su(1,1) algebra: detection of non-Gaussian entangled states
| Authors | Hyunchul Nha, Jaewan Kim |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0512180 |
| URL | https://arxiv.org/abs/quant-ph/0512180 |
| DOI | 10.1103/PhysRevA.74.012317 |
| Journal | Phys. Rev. A 74, 012317 (2006) |
Abstract
We derive a class of inequalities, from the uncertainty relations of the SU(1,1) and the SU(2) algebra in conjunction with partial transposition, that must be satisfied by any separable two-mode states. These inequalities are presented in terms of the su(2) operators J_x, J_y, and the total photon number N_a+N_b. They include as special cases the inequality derived by Hillery and Zubairy [Phys. Rev. Lett. 96, 050503 (2006)], and the one by Agarwal and Biswas [New J. Phys. 7, 211 (2005)]. In particular, optimization over the whole inequalities leads to the criterion obtained by Agarwal and Biswas. We show that this optimal criterion can detect entanglement for a broad class of non-Gaussian entangled states, i.e., the su(2) minimum-uncertainty states. Experimental schemes to test the optimal criterion are also discussed, especially the one using linear optical devices and photodetectors.
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"abstract": "We derive a class of inequalities, from the uncertainty relations of the\nSU(1,1) and the SU(2) algebra in conjunction with partial transposition, that\nmust be satisfied by any separable two-mode states. These inequalities are\npresented in terms of the su(2) operators J_x, J_y, and the total photon number\nN_a+N_b. They include as special cases the inequality derived by Hillery and\nZubairy [Phys. Rev. Lett. 96, 050503 (2006)], and the one by Agarwal and Biswas\n[New J. Phys. 7, 211 (2005)]. In particular, optimization over the whole\ninequalities leads to the criterion obtained by Agarwal and Biswas. We show\nthat this optimal criterion can detect entanglement for a broad class of\nnon-Gaussian entangled states, i.e., the su(2) minimum-uncertainty states.\nExperimental schemes to test the optimal criterion are also discussed,\nespecially the one using linear optical devices and photodetectors.",
"arxiv_id": "quant-ph/0512180",
"authors": [
"Hyunchul Nha",
"Jaewan Kim"
],
"categories": [
"quant-ph"
],
"doi": "10.1103/PhysRevA.74.012317",
"journal_ref": "Phys. Rev. A 74, 012317 (2006)",
"title": "Entanglement criteria via the uncertainty relations in su(2) and su(1,1) algebra: detection of non-Gaussian entangled states",
"url": "https://arxiv.org/abs/quant-ph/0512180"
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