dorsal/arxiv
View SchemaTesting statistical bounds on entanglement using quantum chaos
| Authors | Jayendra N. Bandyopadhyay, Arul Lakshminarayan |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0203117 |
| URL | https://arxiv.org/abs/quant-ph/0203117 |
| DOI | 10.1103/PhysRevLett.89.060402 |
| Journal | Phys. Rev. Lett 89, 060402 (2002) |
Abstract
Previous results indicate that while chaos can lead to substantial entropy production, thereby maximizing dynamical entanglement, this still falls short of maximality. Random Matrix Theory (RMT) modeling of composite quantum systems, investigated recently, entails an universal distribution of the eigenvalues of the reduced density matrices. We demonstrate that these distributions are realized in quantized chaotic systems by using a model of two coupled and kicked tops. We derive an explicit statistical universal bound on entanglement, that is also valid for the case of unequal dimensionality of the Hilbert spaces involved, and show that this describes well the bounds observed using composite quantized chaotic systems such as coupled tops.
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"abstract": "Previous results indicate that while chaos can lead to substantial entropy\nproduction, thereby maximizing dynamical entanglement, this still falls short\nof maximality. Random Matrix Theory (RMT) modeling of composite quantum\nsystems, investigated recently, entails an universal distribution of the\neigenvalues of the reduced density matrices. We demonstrate that these\ndistributions are realized in quantized chaotic systems by using a model of two\ncoupled and kicked tops. We derive an explicit statistical universal bound on\nentanglement, that is also valid for the case of unequal dimensionality of the\nHilbert spaces involved, and show that this describes well the bounds observed\nusing composite quantized chaotic systems such as coupled tops.",
"arxiv_id": "quant-ph/0203117",
"authors": [
"Jayendra N. Bandyopadhyay",
"Arul Lakshminarayan"
],
"categories": [
"quant-ph",
"nlin.CD"
],
"doi": "10.1103/PhysRevLett.89.060402",
"journal_ref": "Phys. Rev. Lett 89, 060402 (2002)",
"title": "Testing statistical bounds on entanglement using quantum chaos",
"url": "https://arxiv.org/abs/quant-ph/0203117"
},
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