dorsal/arxiv
View SchemaGeneralized spin squeezing inequalities in $N$ qubit systems: theory and experiment
| Authors | J. K. Korbicz, O. Gühne, M. Lewenstein, H. Haeffner, C. F. Roos, R. Blatt |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0601038 |
| URL | https://arxiv.org/abs/quant-ph/0601038 |
| DOI | 10.1103/PhysRevA.74.052319 |
| Journal | Phys. Rev. A 74, 052319 (2006) |
Abstract
We present detailed derivations, various improvements and application to concrete experimental data of spin squeezing inequalities formulated recently by some of us [Phys. Rev. Lett. {\bf 95}, 120502 (2005)]. These inequalities generalize the concept of the spin squeezing parameter, and provide necessary and sufficient conditions for genuine 2-, or 3- qubit entanglement for symmetric states, and sufficient entanglement condition for general $N$-qubit states. We apply our method to theoretical study of Dicke states, and, in particular, to $W$-states of $N$ qubits. Then, we analyze the recently experimentally generated 7- and 8-ion $W$-states [Nature {\bf 438}, 643 (2005)]. We also present some novel details concerning this experiment. Finally, we improve criteria for detection of genuine tripartite entanglement based on entanglement witnesses.
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"abstract": "We present detailed derivations, various improvements and application to\nconcrete experimental data of spin squeezing inequalities formulated recently\nby some of us [Phys. Rev. Lett. {\\bf 95}, 120502 (2005)]. These inequalities\ngeneralize the concept of the spin squeezing parameter, and provide necessary\nand sufficient conditions for genuine 2-, or 3- qubit entanglement for\nsymmetric states, and sufficient entanglement condition for general $N$-qubit\nstates. We apply our method to theoretical study of Dicke states, and, in\nparticular, to $W$-states of $N$ qubits. Then, we analyze the recently\nexperimentally generated 7- and 8-ion $W$-states [Nature {\\bf 438}, 643\n(2005)]. We also present some novel details concerning this experiment.\nFinally, we improve criteria for detection of genuine tripartite entanglement\nbased on entanglement witnesses.",
"arxiv_id": "quant-ph/0601038",
"authors": [
"J. K. Korbicz",
"O. G\u00fchne",
"M. Lewenstein",
"H. Haeffner",
"C. F. Roos",
"R. Blatt"
],
"categories": [
"quant-ph"
],
"doi": "10.1103/PhysRevA.74.052319",
"journal_ref": "Phys. Rev. A 74, 052319 (2006)",
"title": "Generalized spin squeezing inequalities in $N$ qubit systems: theory and experiment",
"url": "https://arxiv.org/abs/quant-ph/0601038"
},
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