Truncated states obtained by iteration

Details Truncated states obtained by iteration Truncated states obtained by iteration

2007-01-06

arxiv.org/abs/quant-ph/0701026v1

Chin. Phys. Lett. Vol. 25, No. 2 (2008) 517

Physics

Quantum Physics

10 pages, 22 figures

Scientific paper

10.1088/0256-307X/25/2/045

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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