dorsal/arxiv
View SchemaLinear entropy as an entanglement measure in two-fermion systems
| Authors | Fabrizio Buscemi, Paolo Bordone, Andrea Bertoni |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0611223 |
| URL | https://arxiv.org/abs/quant-ph/0611223 |
| DOI | 10.1103/PhysRevA.75.032301 |
| Journal | Phys. Rev. A 75, 032301 (2007) |
Abstract
We describe an efficient theoretical criterion, suitable for indistinguishable particles to quantify the quantum correlations of any pure two-fermion state, based on the Slater rank concept. It represents the natural generalization of the linear entropy used to treat quantum entanglement in systems of non-identical particles. Such a criterion is here applied to an electron-electron scattering in a two-dimensional system in order to perform a quantitative evaluation of the entanglement dynamics for various spin configurations and to compare the linear entropy with alternative approaches. Our numerical results show the dependence of the entanglement evolution upon the initial state of the system and its spin components. The differences with previous analyses accomplished by using the von Neumann entropy are discussed. The evaluation of the entanglement dynamics in terms of the linear entropy results to be much less demanding from the computational point of view, not requiring the diagonalization of the density matrix.
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"abstract": "We describe an efficient theoretical criterion, suitable for\nindistinguishable particles to quantify the quantum correlations of any pure\ntwo-fermion state, based on the Slater rank concept. It represents the natural\ngeneralization of the linear entropy used to treat quantum entanglement in\nsystems of non-identical particles. Such a criterion is here applied to an\nelectron-electron scattering in a two-dimensional system in order to perform a\nquantitative evaluation of the entanglement dynamics for various spin\nconfigurations and to compare the linear entropy with alternative approaches.\nOur numerical results show the dependence of the entanglement evolution upon\nthe initial state of the system and its spin components. The differences with\nprevious analyses accomplished by using the von Neumann entropy are discussed.\nThe evaluation of the entanglement dynamics in terms of the linear entropy\nresults to be much less demanding from the computational point of view, not\nrequiring the diagonalization of the density matrix.",
"arxiv_id": "quant-ph/0611223",
"authors": [
"Fabrizio Buscemi",
"Paolo Bordone",
"Andrea Bertoni"
],
"categories": [
"quant-ph"
],
"doi": "10.1103/PhysRevA.75.032301",
"journal_ref": "Phys. Rev. A 75, 032301 (2007)",
"title": "Linear entropy as an entanglement measure in two-fermion systems",
"url": "https://arxiv.org/abs/quant-ph/0611223"
},
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