dorsal/arxiv
View SchemaTruncated states obtained by iteration
| Authors | W. B. Cardoso, N. G. de Almeida |
|---|---|
| Categories | |
| ArXiv ID | quant-ph/0701026 |
| URL | https://arxiv.org/abs/quant-ph/0701026 |
| DOI | 10.1088/0256-307X/25/2/045 |
| Journal | Chin. Phys. Lett. Vol. 25, No. 2 (2008) 517 |
Abstract
Quantum states of the electromagnetic field are of considerable importance, finding potential application in various areas of physics, as diverse as solid state physics, quantum communication and cosmology. In this paper we introduce the concept of truncated states obtained via iterative processes (TSI) and study its statistical features, making an analogy with dynamical systems theory (DST). As a specific example, we have studied TSI for the doubling and the logistic functions, which are standard functions in studying chaos. TSI for both the doubling and logistic functions exhibit certain similar patterns when their statistical features are compared from the point of view of DST. A general method to engineer TSI in the running-wave domain is employed, which includes the errors due to the nonidealities of detectors and photocounts.
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"abstract": "Quantum states of the electromagnetic field are of considerable importance,\nfinding potential application in various areas of physics, as diverse as solid\nstate physics, quantum communication and cosmology. In this paper we introduce\nthe concept of truncated states obtained via iterative processes (TSI) and\nstudy its statistical features, making an analogy with dynamical systems theory\n(DST). As a specific example, we have studied TSI for the doubling and the\nlogistic functions, which are standard functions in studying chaos. TSI for\nboth the doubling and logistic functions exhibit certain similar patterns when\ntheir statistical features are compared from the point of view of DST. A\ngeneral method to engineer TSI in the running-wave domain is employed, which\nincludes the errors due to the nonidealities of detectors and photocounts.",
"arxiv_id": "quant-ph/0701026",
"authors": [
"W. B. Cardoso",
"N. G. de Almeida"
],
"categories": [
"quant-ph"
],
"doi": "10.1088/0256-307X/25/2/045",
"journal_ref": "Chin. Phys. Lett. Vol. 25, No. 2 (2008) 517",
"title": "Truncated states obtained by iteration",
"url": "https://arxiv.org/abs/quant-ph/0701026"
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