dorsal/arxiv
View SchemaGenuine Multipartite Entanglement in Quantum Phase Transitions
| Authors | Thiago R. de Oliveira, Gustavo Rigolin, Marcos C. de Oliveira |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0507253 |
| URL | https://arxiv.org/abs/quant-ph/0507253 |
| DOI | 10.1103/PhysRevA.73.010305 |
| Journal | Phys. Rev. A 73, 010305(R) (2006) |
Abstract
We demonstrate that the Global Entanglement (GE) measure defined by Meyer and Wallach, J. Math. Phys. 43, 4273 (2002), is maximal at the critical point for the Ising chain in a transverse magnetic field. Our analysis is based on the equivalence of GE to the averaged linear entropy, allowing the understanding of multipartite entanglement (ME) features through a generalization of GE for bipartite blocks of qubits. Moreover, in contrast to GE, the proposed ME measure can distinguish three paradigmatic entangled states: $GHZ_{N}$, $W_{N}$, and $EPR^{\otimes N/2}$. As such the generalized measure can detect genuine ME and is maximal at the critical point.
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"abstract": "We demonstrate that the Global Entanglement (GE) measure defined by Meyer and\nWallach, J. Math. Phys. 43, 4273 (2002), is maximal at the critical point for\nthe Ising chain in a transverse magnetic field. Our analysis is based on the\nequivalence of GE to the averaged linear entropy, allowing the understanding of\nmultipartite entanglement (ME) features through a generalization of GE for\nbipartite blocks of qubits. Moreover, in contrast to GE, the proposed ME\nmeasure can distinguish three paradigmatic entangled states: $GHZ_{N}$,\n$W_{N}$, and $EPR^{\\otimes N/2}$. As such the generalized measure can detect\ngenuine ME and is maximal at the critical point.",
"arxiv_id": "quant-ph/0507253",
"authors": [
"Thiago R. de Oliveira",
"Gustavo Rigolin",
"Marcos C. de Oliveira"
],
"categories": [
"quant-ph",
"cond-mat.stat-mech"
],
"doi": "10.1103/PhysRevA.73.010305",
"journal_ref": "Phys. Rev. A 73, 010305(R) (2006)",
"title": "Genuine Multipartite Entanglement in Quantum Phase Transitions",
"url": "https://arxiv.org/abs/quant-ph/0507253"
},
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