dorsal/arxiv
View SchemaLinear dynamical entropy and free-independence for quantized maps on the torus
| Authors | Monika Pogorzelska, Robert Alicki |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0611092 |
| URL | https://arxiv.org/abs/quant-ph/0611092 |
| DOI | 10.1088/1751-8113/40/13/006 |
Abstract
We study the relations between the averaged linear entropy production in periodically measured quantum systems and ergodic properties of their classical counterparts. Quantized linear automorphisms of the torus, both classically chaotic and regular ones, are used as examples. Numerical calculations show different entropy production regimes depending on the relation between the Kolmogorov-Sinai entropy and the measurement entropy. The hypothesis of free independence relations between the dynamics and measurement proposed to explain the initial constant and maximal entropy production is tested numerically for those models.
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"abstract": "We study the relations between the averaged linear entropy production in\nperiodically measured quantum systems and ergodic properties of their classical\ncounterparts. Quantized linear automorphisms of the torus, both classically\nchaotic and regular ones, are used as examples. Numerical calculations show\ndifferent entropy production regimes depending on the relation between the\nKolmogorov-Sinai entropy and the measurement entropy. The hypothesis of free\nindependence relations between the dynamics and measurement proposed to explain\nthe initial constant and maximal entropy production is tested numerically for\nthose models.",
"arxiv_id": "quant-ph/0611092",
"authors": [
"Monika Pogorzelska",
"Robert Alicki"
],
"categories": [
"quant-ph"
],
"doi": "10.1088/1751-8113/40/13/006",
"title": "Linear dynamical entropy and free-independence for quantized maps on the torus",
"url": "https://arxiv.org/abs/quant-ph/0611092"
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