dorsal/arxiv
View SchemaStatistical bounds on the dynamical production of entanglement
| Authors | Romulo F. Abreu, Raul O. Vallejos |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0703057 |
| URL | https://arxiv.org/abs/quant-ph/0703057 |
| DOI | 10.1103/PhysRevA.75.062335 |
Abstract
We present a random-matrix analysis of the entangling power of a unitary operator as a function of the number of times it is iterated. We consider unitaries belonging to the circular ensembles of random matrices (CUE or COE) applied to random (real or complex) non-entangled states. We verify numerically that the average entangling power is a monotonic decreasing function of time. The same behavior is observed for the "operator entanglement" --an alternative measure of the entangling strength of a unitary. On the analytical side we calculate the CUE operator entanglement and asymptotic values for the entangling power. We also provide a theoretical explanation of the time dependence in the CUE cases.
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"abstract": "We present a random-matrix analysis of the entangling power of a unitary\noperator as a function of the number of times it is iterated. We consider\nunitaries belonging to the circular ensembles of random matrices (CUE or COE)\napplied to random (real or complex) non-entangled states. We verify numerically\nthat the average entangling power is a monotonic decreasing function of time.\nThe same behavior is observed for the \"operator entanglement\" --an alternative\nmeasure of the entangling strength of a unitary. On the analytical side we\ncalculate the CUE operator entanglement and asymptotic values for the\nentangling power. We also provide a theoretical explanation of the time\ndependence in the CUE cases.",
"arxiv_id": "quant-ph/0703057",
"authors": [
"Romulo F. Abreu",
"Raul O. Vallejos"
],
"categories": [
"quant-ph"
],
"doi": "10.1103/PhysRevA.75.062335",
"title": "Statistical bounds on the dynamical production of entanglement",
"url": "https://arxiv.org/abs/quant-ph/0703057"
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