dorsal/arxiv
View SchemaTopological phase for entangled two-qubit states and the representation of the SO(3)group
| Authors | F. De Zela |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0511034 |
| URL | https://arxiv.org/abs/quant-ph/0511034 |
| DOI | 10.1088/1464-4266/7/11/009 |
| Journal | J. Opt. B: Quantum Semiclass. Opt. 7 (2005) 372-380 |
Abstract
We discuss the representation of the $SO(3)$ group by two-qubit maximally entangled states (MES). We analyze the correspondence between $SO(3)$ and the set of two-qubit MES which are experimentally realizable. As a result, we offer a new interpretation of some recently proposed experiments based on MES. Employing the tools of quantum optics we treat in terms of two-qubit MES some classical experiments in neutron interferometry, which showed the $\pi $-phase accrued by a spin-$1/2$ particle precessing in a magnetic field. By so doing, we can analyze the extent to which the recently proposed experiments - and future ones of the same sort - would involve essentially new physical aspects as compared with those performed in the past. We argue that the proposed experiments do extend the possibilities for displaying the double connectedness of $SO(3)$, although for that to be the case it results necessary to map elements of $SU(2)$ onto physical operations acting on two-level systems.
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"abstract": "We discuss the representation of the $SO(3)$ group by two-qubit maximally\nentangled states (MES). We analyze the correspondence between $SO(3)$ and the\nset of two-qubit MES which are experimentally realizable. As a result, we offer\na new interpretation of some recently proposed experiments based on MES.\nEmploying the tools of quantum optics we treat in terms of two-qubit MES some\nclassical experiments in neutron interferometry, which showed the $\\pi $-phase\naccrued by a spin-$1/2$ particle precessing in a magnetic field. By so doing,\nwe can analyze the extent to which the recently proposed experiments - and\nfuture ones of the same sort - would involve essentially new physical aspects\nas compared with those performed in the past. We argue that the proposed\nexperiments do extend the possibilities for displaying the double connectedness\nof $SO(3)$, although for that to be the case it results necessary to map\nelements of $SU(2)$ onto physical operations acting on two-level systems.",
"arxiv_id": "quant-ph/0511034",
"authors": [
"F. De Zela"
],
"categories": [
"quant-ph"
],
"doi": "10.1088/1464-4266/7/11/009",
"journal_ref": "J. Opt. B: Quantum Semiclass. Opt. 7 (2005) 372-380",
"title": "Topological phase for entangled two-qubit states and the representation of the SO(3)group",
"url": "https://arxiv.org/abs/quant-ph/0511034"
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